Answers
The system of equations is y = 4x - 3 and y = -1/3x + 4 and the solution is (21/13, 45/13)
How to determine the system of equations?From the question, we have the table of values as the parameters that can be used in our computation:
From the table, we have
Table 1
(x, y) = (0, -3) and (4, 13)
A linear equation is represented as
y = mx + c
Where
Slope = m
c = y when x = 0
This means that
c = -3
So, we have
y = mx - 3
The point (4, 13) implies that
13 = m * 4 - 3
So, we have
4m = 16
m = 4
So, the equation is
y = 4x - 3
Table 2
(x, y) = (0, 4) and (4, 6)
A linear equation is represented as
y = mx + c
This means that
c = 4
So, we have
y = mx + 4
The point (4, 6) implies that
6 = m * 4 + 4
So, we have
4m = -2
m = -1/3
So, the equation is
y = -1/3x + 4
Substitute y = -1/3x + 4 in y = 4x - 3
-1/3x + 4 = 4x - 3
So, we have
-x + 12 = 12x - 9
Evaluate the like terms
13x = 21
Divide
x = 21/13
y = -1/3x + 4 implies that
y = -1/3 x 21/13 + 4
So, we have
y = -7/13 + 4
Evaluate
y = 45/13
So, the solution is (21/13, 45/13)
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Related Questions
larry is wanting to place a fence diagonally to separate his yard from his neighbors what would the measurement of the fence need to be to fit in the yard picture below what is the length of the fence that runs diagonally what is the total meters of fencing will hr need for the entire triangle of his yard
Answers
Answer: You would have to know the number of yards separate from his neighbors yard to get the answer.
Step-by-step explanation:
For example if his yard was 50 yards from his neighbors than you would add that to the width. Length plus width to get your answer.
4. A desk is 1 ½ feet wide and 5 feet long. It is
2½ feet above the floor. What is the volume
of space under the desk?
Answers
v=1.5•5•2.5
v=18.75
Answer:
gg
Step-by-step explanation:
Solve for inequality
Seven more than the quotient of a number $b$ and 45 vis greater than 5 .
Answers
Seven more than the quotient of a number b and 45 is greater than 5 then the inequality is b > -90.
What is inequality?
Equations are not always balanced on both sides using a "equal to" symbol in mathematics. Sometimes it can be about a "not equal to" relationship, meaning that something is superior to or inferior to another. In mathematics, an inequality is a relationship between two numbers or other mathematical expressions that results in an unequal comparison.7 more than the quotient of a number b and 45 is greater than 5.
interpretation
7 + b/45 > 5
collect the like terms
b/45>5-7
b/45>-2
cross multiply
∴ b>-2×45
b > -90
Hence, Seven more than the quotient of a number b and 45 is greater than 5 then the inequality is b > -90.
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Music stalls Games stalls Handicraft stalls Ks 3000 Food stalls Ks 4800 (a) How much money was collected by the music stalls? (b) What fraction of the total amount of money was collected by the game stalls? (c) What percentage of the total amount of money was collected by the food stalls? (d) What was the ratio of the money collected by the handicraft stalls to the money collected by the music stalls?
Answers
Answer:
Step-by-step explanation:
a. The music stalls collected Ks 3000.
b. The game stalls collected Ks 4800, which is a fraction of the total amount of money collected. To find the fraction, we can divide the amount collected by the game stalls by the total amount collected by all the stalls:
$\frac{Ks 4800}{Ks 3000 + Ks 4800 + Ks 3000} = \frac{Ks 4800}{Ks 10800} = \frac{2}{9}$
Therefore, the game stalls collected $\frac{2}{9}$ of the total amount of money.
c. The food stalls collected Ks 4800, which is a percentage of the total amount of money collected. To find the percentage, we can divide the amount collected by the food stalls by the total amount collected by all the stalls and multiply by 100%:
$\frac{Ks 4800}{Ks 3000 + Ks 4800 + Ks 3000} \times 100% = \frac{Ks 4800}{Ks 10800} \times 100% = 44.44%$
Therefore, the food stalls collected 44.44% of the total amount of money.
d. The handicraft stalls collected Ks 3000, and the music stalls collected Ks 3000. The ratio of the money collected by the handicraft stalls to the money collected by the music stalls is therefore 1:1. We can write this ratio as $\frac{1}{1} = 1$, or simply as 1.
please help, urgent, would appreciate
Answers
The answers to all the parts are given below.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have a function h = -16t² + 1800, that gives the height of the person at time [t] seconds.
[A] -
For [x] = 1000ft, we can write -
1000 = -16t² + 1800
16t² = 800
t² = (800/16)
t² = 50
t = 7.07 seconds
[B] -
For [x] = 950ft, we can write -
950 = -16t² + 1800
16t² = 850
t² = 53.125
t² = √(53.125)
t = 7.29 seconds
[C] -
The domain of the function will be -
0 ≤ x ≤ 10
[D] -
The range of the function will be -
0 ≤ h ≤ 1800
Therefore, the answers to all the parts are given above.
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Let x,X. X30o be a random sample from Gamma(3, 2). Find an approximate probability that x is less than 6.3 (round off to third decimal place) 42300
Answers
0.933 is approximate probability that x is less than 6.3 (round off to third decimal place).
What is Probability?
Calculating or estimating how likely or "possible" something is to occur is the subject of probability.
Words like "certain," "impossible," or "probable" can be used to express the likelihood of an event occurring.
Probabilities in mathematics are always represented as fractions, decimals, or percentages with values ranging from 0 to 1.
Given X₁,X₂, ............X₃₀₀ are IID random samples from Xi ~ Gamma ( shape = 3 scale = 2 ) . The mean and variance are
E(Xi) = 3 * 2 = 6
Var (Xi) = 3 * 2² = 12
According to CLT,
X = X₁ + X₂ + ............+ X₃₀₀/300
has approximately normal distribution X ~ N( 6,12/300) So the probability,
P( X < 6.3 ) = P( Z < 6.3 - 6/√12/300
P ( X < 6.3 ) = P( Z < 1.5 )
P (X < 6.3 ) = Ф (1.5 )
P (X < 6.3 ) = 0.933
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Find the values of x and y.
Answers
Answer:
x = y = 60
Step-by-step explanation:
You want the values of angles marked x° and y° in the given figure involving equilateral triangles and parallel lines.
TrianglesAll of the triangles in the figure are congruent equilateral triangles. Each of their internal angle measures is 60°.
x° = y° = 60°
__
Additional comment
The (inside) base angles of the outside two triangles are alternate interior angles with respect to the top two angles of the center triangle. Hence they are congruent. The center triangle is marked as equilateral, so its angles are all 60°. That means all of the acute angles in the figure are 60°.
8. The Pinkerton Publishing Company is considering two mutually exclusive expansion plans. Plan A calls for the expenditure of $50 million on a large-scale, integrated plant that will provide an expected cash flow stream of $8 million per year for 20 years. Plan B calls for the expenditure of $15 million to build a somewhat less efficient, more Labor-intensive plant that has an expected cash flow stream of $3.4 million per year for 20 years. The firm's cost of capital is 10%. a. Calculate each project's NPV and IRR. (4 marks) b. Set up a Project A by showing the cash flows that will exist if the firm goes with the large plant rather than the smaller plant. What are the NPV and the IRR for this Project A? (3 marks) c. Give a logical explanation, based on reinvestment rates and opportunity costs, as to why the NPV method is better than the IRR method when the firm's cost of capital is constant at some value such as 10%. (3 marks)
Answers
What is a NPV net present value ?
The difference between the current value of cash inflows and withdrawals over a period of time is known as net present value (NPV). To evaluate the profitability of a proposed investment or project, NPV is used in capital budgeting and investment planning.
Using the appropriate discount rate, computations are performed to determine the current value of a stream of future payments, or NPV. Projects that have a positive NPV are generally worthwhile pursuing, whereas those that have a negative NPV are not.
The current worth of a stream of payments from a business, project, or investment is determined using net present value (NPV).You must predict the timing and size of future cash flows in order to determine NPV, and you must choose a discount rate that is equal to the least allowable rate of return.Your cost of capital or the rewards offered by substitute investments with equivalent risk may be reflected in the discount rate.Positive NPV indicates that the rate of return on a project or investment will be higher than the discount rate.1.
NPV of project A = [tex]-50+\frac{8}{/(1.10)^1} +\frac{8}{(1.10)^2} \frac{8}{(1.10)^3} +\frac{8}{(1.10)^4} +\frac{8}{(1.10)^5} +\frac{8}{(1.10)^6} +\frac{8}{(1.10)^7} +\frac{8}{(1.10)^8} +\frac{8}{(1.10)^9} +\frac{8}{(1.10)^1^0} +\frac{8}{(1.10)^1^1} +\frac{8}{(1.10)^1^2} +\frac{8}{(1.10)^1^3} +\frac{8}{(1.10)^1^4} +\frac{8}{(1.10)^1^5} +\frac{8}{(1.10)^1^6} +\frac{8}{(1.10)^1^7} +\frac{8}{(1.10)^1^8} +\frac{8}{(1.10)^1^9} +\frac{8}{(1.10)^2^0}[/tex]
=$18.11
2.
NPV of project B = [tex]-15+\frac{3.4}{/(1.10)^1} +\frac{3.4}{(1.10)^2} \frac{3.4}{(1.10)^3} +\frac{3.4}{(1.10)^4} +\frac{3.4}{(1.10)^5} +\frac{3.4}{(1.10)^6} +\frac{3.4}{(1.10)^7} +\frac{3.4}{(1.10)^8} +\frac{3.4}{(1.10)^9} +\frac{3.4}{(1.10)^1^0} +\frac{3.4}{(1.10)^1^1} +\frac{3.4}{(1.10)^1^2} +\frac{3.4}{(1.10)^1^3} +\frac{3.4}{(1.10)^1^4} +\frac{3.4}{(1.10)^1^5} +\frac{3.4}{(1.10)^1^6} +\frac{3.4}{(1.10)^1^7} +\frac{3.4}{(1.10)^1^8} +\frac{3.4}{(1.10)^1^9} +\frac{3.4}{(1.10)^2^0}[/tex]
= $13.95
Use function IRR in excel as = IRR(-50,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8)
= 15.03% is the IRR for A.
Use function IRR in excel as = IRR(-15,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4)
= 22.26% is the IRR for B.
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Use the formula A=(1+r/n)^nt to solve the compound interest problem.
Find how long it takes for 900$ to double if it is invested at 6% interest compounded monthly.
The money will double in value in approximately ? years.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Answers
The total years taken to double the money according to Compounding will be 12.5 years.
What is compound interest?
Compound interest is that the interest on savings calculated on each the initial principal and therefore the accumulated interest from previous periods.
Main body:
Given :
rate = 6%
amount = $900
Total amount = $1800
Compounded monthly,
so formula becomes,
Total amount = amount (1+r/1200)^12t
T = A[tex](1+r/1200)^{12t[/tex]
1800 = 900 (1+6/1200)^12t
2 = (1+1/200)^12t
2 = 1.005^12t
taking log on both sides
log 2 = 12t *log 1.005
0.3/0.002 = 12t
t = 12.5 years
Hence the time taken to double the money is 12.5 years.
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Question 21 of 25
What is the length of the x-component of the vector shown below?
8
71°
OA. 2.6
OB. 8.0
OC. 7.6
OD. 5.2
Answers
Using the Pythagorean theorem, we can find the length of the x-component:
x^2 = 8^2 - 7.1^2
x = sqrt(64 - 50.41)
x = sqrt(13.59)
x = OD. 5.2
Therefore, the length of the x-component is 5.2.
As part of a school science project, Jacob bought some bulbs for a total of $18. The cost of each bulb was $3. How many bulbs did Jacob buy?
Step One: Write an equation with the variable x
Step Two: Solve your equation.
Equation:
Solution: x=
Answers
Solution: X = 6
Hope this helps :)
a circle c has center at the origin and radius 4. another circle k has a diameter with one end at the origin and the other end at the point the circles c and k intersect in two points. let p be the point of intersection of c and k which lies in the first quadrant. let be the polar coordinates of p, chosen so that is positive and find and .
Answers
Let (r,q) represent P's polar coordinates, with r being positive and 0 equaling q being pi/2. If so, r = 3m. And A = 0.20136
All points in a plane that are at a specific distance from a specific point, the center, form a circle.
Formula for the first circle: x²+ y² = 9
Formula for the second circle:
center is (0, 7.5) and the radius is 15/2, so
x² + (y - 7.5)² = (7.5)²
Combining these yields:
9 - y² + (y - 7.5)² = (7.5)²
9 - y² + y² - 15y + (7.5)² = 7.5²
9 - 15y = 0
y = 9/15 = 3/5
∴ y = 0.6
x² + y² = 9 = x² + (3/5)²
x² = 9 - (9/25)
x² = [(225 - 9)/25] = 216/25
∴ x = 2.9394
r = √(x² + y²) =
r = √[( 216/25) + (9/25)]
r = √(225/25) = 15/5
∴ r = 3
The x and y values appear to be accurate because this must be the same as the radius of the circle cantered at the origin.
sin(A) = y/r
sin(A) = (3/5)/3 = 1/5
Sin(A) = 0.2
∴ A = 0.20136
COMPLETE QUESTION:
A circle C has center at the origin and radius 4. Another circle K has a diameter with one end at the origin and the other end at the point (0,14). The circles C and K intersect in two points. Let P be the point of intersection of C and K which lies in the first quadrant. Let (r,q) be the polar coordinates of P, chosen so that r is positive and 0 = q =pi/2. Find r and q.
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6 is 5% of what number?
100
Answers
Answer: 120
Step-by-step explanation:
We can put it in an equation like this:
6 = 5%x
Then, we solve:
6 = 1/20 x
x = 20/1 *6
x=120
Therefore, 5% of 120 is 6.
Answer:
120
Step-by-step explanation:
5/100=6/x
Cross multiply
5x=100(6)
5x=600
/5. /5
x=120
Hopes this helps please mark brainliest
Find the amount A in an account (to the nearest cent) after 10 years if
dA
dt = rA, A(0) = 15,000 and A(8) = $22,377.37
Answers
The amount A in an account to the nearest cent, the amount A in the account after 10 years is $30,441.65.
What is the amount A in an account?Generally, To find the amount A in the account after 10 years, we can use the formula for continuous compound interest:
A(t) = A(0) * e^(rt)
where A(t) is the amount in the account after t years, A(0) is the initial amount in the account, r is the interest rate, and t is the number of years.
In this case, we know that A(0) = $15,000, A(8) = $22,377.37, and t = 10 years. We can rearrange the formula to solve for r:
r = (1/t) * ln(A(t)/A(0))
Substituting the known values, we get:
r = (1/10) * ln(22377.37/15000)
Solving this equation, we get r = 0.0658082.
Now that we have the value of r, we can use the formula for continuous compound interest to find the amount A in the account after 10 years:
A(10) = 15000 * e^(0.0658082 * 10)
Solving this equation, we get A(10) = $30,441.65.
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Explain how to do this so I can do the next few problems thank you so much!!!
Answers
Area of composite figure is 48 square feet.
What do you mean by composite figure?
A compound shape or figure is a two-dimensional figure made up of basic two-dimensional shapes such as triangles, rectangles, circles, and semicircles.
To find the perimeter of a compound 2D shape, add the lengths of the sides. Find individual regions for each part of the compound shape. The area of a composite shape is the sum of its individual areas.
Let the given composite figure be divided into four rectangles A,B,C and D having dimension 3 and 4
Area of rectangle A = 3 × 4 = 12
Area of rectangle A = area of rectangle B = area of rectangle C = area of rectangle D = 12 square feet.
Total area = Area of rectangle A + area of rectangle B + area of rectangle C + area of rectangle D = 12 + 12 + 12 + 12 =48 square feet
Therefore, area of composite figure is 48 square feet.
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i would
like to know how to answer this question. please
Answers
G(1) has a value of 3,The collection of all possible inputs and outputs constitutes a function's domain and range, respectively.
Domain and Range: What are they?The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.The collection of all possible inputs and outputs constitutes a function's domain and range, respectively. Important features of a function are the domain and range. The domain accepts all potential input values from the set of real numbers, and the range accepts all function output values. There for G(1) has a value of 3.To learn more about Domain refer to:
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convert the point (4,197) from polar coordinates into rectangular coordinates. round your answers to the nearest tenth (1 decimal place).
Answers
The rectangular coordinates are (-3.825,-1.169).
In a rectangular coordinate system, we were plotting points based on an ordered pair of (x, y). In the polar coordinate system, the ordered pair will now be (r, θ). The ordered pair specifies a point’s location based on the value of r and the angle, θ, from the polar axis.
The value of r can be positive, negative, or zero. The sign of r is very important in locating the exact position of the point. The absolute value of r, |r|, is the distance between the point and the pole.
1. If r is positive (r > 0) then the point lies on the terminal side of θ
2. If r is negative (r < 0) then the point lies on the ray opposite of the terminal side of θ
3. If r is zero (r = 0) then the point lies at the pole regardless of θ
Given,
P= (4,197)
Finding rectangular coordinates (x,y)
x = r cosθ
x = 4 cos 197
x = 4* (-0.956)
x = -3.825
y = r sinθ
y = 4 sin 197
y = 4*(-0.292)
y = -1.169
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b. Find the value of m and n
Answers
Answer:
n = 45
m = 135
Step-by-step explanation:
The sum of the interior angles of a triangle is 180
180 - 55 - 80 = 45
m = the sum of 55 + 80
n= 45°;
m= 135.
Step-by-step explanation:1. Find the value of n.The sum of all interior angles of a triangle must equa 360°. Hence, the value of n is given by the following expression:
[tex]n+55+80=180\\ \\n=180-55-80\\\\ n=45[/tex]
2. Find the value of m.Since "m" and "n" are opposites angles and, since there's a straight line adjacent to them, the sum of m and n should equal 180 (check the attached image). Find m with the following expression:
[tex]45+m=180\\ \\m=180-45\\ \\m=135.[/tex]
Pls answer its for my final
Answers
The quadratic equation will be written as F(x) = -2x² - 4x + 1.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
The point from which the quadratic equation passes are,
(0,1), (-1,3), and (-2,1).
The quadratic equation will be written as,
y =ax²+ bx +c
For point (0,1)
1 = 0 + 0 + c
c = 1
For points (-1,3),
3 = a - b + c
3 = a - b + 1
a - b = 2
For point (-2,1),
1 = 4a - 2b + c
1 = 4a - 2b + 1
4a = 2b
b = 2a
calculate the values of a and b,
a - b = 2
a - 2a = 2
-a = 2
a = -2
b = 2a = 2 x -2 = -4
The quadratic equation will be written as,
F(x) = -2x² - 4x + 1
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help meeeeeeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeee!!!!!
Answers
After 25 years, Sample left will be 100g if nearest hundred...ig...
9 apples and 6 oranges cost $33
18 apples and 20 oranges cost $80
How much does 1 apple and 1 orange cost
Answers
The cost of each apple and each orange will be $2.5 and $1.75, respectively. The cost of 1 apple and 1 orange will be $4.25.
The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
9 apples and 6 oranges cost $33 and 18 apples and 20 oranges cost $80.
Let 'x' be the cost of each apple and 'y' be the cost of each orange. Then the equations are given as,
9x + 6y = 33 ...1
18x + 20y = 80 ...2
Multiply equation 1 by negative 2, then we have
-18x - 12y = - 66 ...3
Add equations 2 and 3, then we have
20y - 12y = 80 - 66
8y = 14
y = $1.75
Then the cost of each apple is calculated as,
9x + 6(1.75) = 33
9x = 33 - 7.5
9x = 22.5
x = $2.5
The cost of each apple and each orange will be $2.5 and $1.75, respectively.
The cost of 1 apple and 1 orange will be given as,
⇒ $2.5 + $1.75
⇒ $4.25
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Decide whether a line with the given slope slants upward or downward or is horizontal or vertical.
m = ½
Answers
Answer: Slants upwards.
Step-by-step explanation:
This is a positive slope, so the line with this given slope will slant upwards. For every increase of one in y, there is a positive change of 2 in x. See attached for a visual example, if the graph was y = ½x.
CAN SOMEONE PLEASE HELP ME WITH THIS GEOMETRY??
Answers
The measure of the side QR is 58.72 if the sides KL=11, NM=17 and OP=38
What is meant by quadrilateral?Having four edges (sides) and four corners, a quadrilateral is a four-sided polygon in geometry (vertices). The term is derived from the Latin terms quadri, a four-letter version, and latus, which means "side." In comparison to other polygons, it is also known as a tetragon. Tetragon is a Greek word that means "four" and "gon" is a word that means "corner" or "angle" (e.g. pentagon). A quadrangle, or 4-angle, is the equivalent term as "gon" denotes "angle." There are four closed sides to a quadrilateral. These shapes below are quadrilaterals: with Raphael, a creation. a four-sided form. One set of parallel sides make up the shape, and there are no right angles.
From the both figures,
KL/NM=OP/QR
11/17=38/QR
QR=(17×38)/11
QR=58.72
Therefore, the measure of the side QR is 58.72 if the sides KL=11, NM=17 and OP=38.
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Consider the following loan. Complete parts (a)-(c) below.
An individual borrowed $66,000 at an APR of 4%, which will be paid off with monthly payments of $400 for 20 years.
a. Identify the amount borrowed, the annual interest rate, the number of payments per year, the loan term, and the payment amount.
The amount borrow is $__, the annyual interest rate is ___%, the number of payments per year is ___, the loan term is ___ years, and the payment amount is $___.
Answers
The amount borrowed is $66,000, the annual interest rate is 4 %, the number of payments per year is 12, the loan term is 20 years, and the payment amount is $10668.39.
What is compound interest?Compound interest is applicable when there will be a change in the principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
The total amount paid is,
A = 4800[1 + 0.04/12]^(12 x 20)
A = $10668.39
Hence "The amount borrowed is $66,000, the annual interest rate is 4 %, the number of payments per year is 12, the loan term is 20 years, and the payment amount is $10668.39".
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ABDE is an isosceles trapezoid. Select all parts that are marked congruent.
Side AB and Side AE
Angle E and Angle D
Angle E and Angle B
Angle A and Angle B
Angle A and Angle D
Side AE and Side BD
Side AB and Side ED
Answers
The concurrent parts in ABDE are Side AB ≅ Side ED and Side AE ≅ Side BD.
Concurrent triangles:If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved. The symbol ≅ used for concurrence.
Here we have,
ABDE is an isosceles trapezoid.
If we draw two diagonals in a given trapezoid as given picture
Then the diagonal will divide the trapezoid into 4 triangles
Here ΔAOB, ΔBOD, ΔEOD, and AOE
Here ΔAOB and ΔEOD will be two concurrent triangles
And ΔBOD and AOE will be two concurrent triangles
From ΔAOB and ΔEOD
Side AB ≅ Side ED
From ΔBOD and AOE
Side AE ≅ Side BD
Therefore,
The concurrent parts in ABDE are Side AB ≅ Side ED and Side AE ≅ Side BD
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a quadratic function f is given by f(c) = ax^2+bx+c where a is not 0
Answers
The roots of a quadratic function are the values of x that make the function is 0. These roots can be found by solving the equation f(x) is 0.
What is quadratic function ?A quadratic function is a type of mathematical function that can be written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0. This type of function is called a quadratic function because the highest power of x in the function is 2.
The graph of a quadratic function is a parabola, which is a U-shaped curve. The shape of the parabola is determined by the value of the constant a. If a is positive, the parabola opens upwards and if a is negative, the parabola opens downwards.
The roots of a quadratic function are the values of x that make the function equal to 0. These roots can be found by solving the equation f(x) = 0. To solve this equation, we can use the quadratic formula, which is:
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
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Find the critical value(s) for a left-tailed z-test with a = 0.09. Include a graph with your answer.
Answers
Answer:-1.34
Step-by-step explanation:
Which of the following statements is true of the function g(x)= 1/ x+3 - 5
Please help as soon as possible, and please make sure you say A, B,C, or D at least if not typing which choice. Thanks!
g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 3 units and downward by 5 units.
B)
g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x right by 3 units and downward by 5 units.
C)
g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x right by 3 units and downward by 5 units.
D)
g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 5 units and downward by 3 units.
Answers
Answer: none of these
Step-by-step explanation:
okay, your answers b and c are the same so maybe you typed or copied them in wrong
but if the function is g(x)=1/(x+3)-5 than the answer would be…
translate it 3 right and up 5
I hope this helps!
which expression is not equavilent
Answers
Answer:
[tex]\huge\boxed{\sf Option \ 2}[/tex]
Step-by-step explanation:
Given that,
8 + (n - 4)
According to Associative Property:
A + (B + C) = (A + B) + CUsing Associative property for the given expression.
We get:
(8 + n) - 4[tex]\rule[225]{225}{2}[/tex]
The answer to this question is = 12 + n is the expression not equivalent to 8 + (n - 4)
Let us consider any random value of n for example let us take the value of n = 5
As per the original equation given in question 8 + (n - 4) if we substitute the value of n = 5
= 8+ (5 - 4)
= 8+1
= 9
Now we will be substituting the value of n in all the answer options-
Option 1- (8 - 4) + n
= (8 - 4) + 5
= 4 + 5
= 9
Therefore, this answer matches the original equation so this is not the correct option
Option 2- (8 + 4) - n
= (8 + 4) - 5
= 13 - 5
= 9
Therefore, this answer matches the original equation so this is not the correct option
Option 3- n+4
= 5 + 4
= 9
Therefore, this answer matches the original equation so this is not the correct option
Option 4- 12 + n
= 12 + 5
= 17
Therefore, this answer does not match the original equation so the correct option is = 12 + n
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CAN SOMEONE HELP WITH THIS QUESTION?✨
Answers
The required values of a and b for the given case are 10000 and 15.08 respectively.
How to find the decay rate of an exponential function?An exponentially decaying function has a general form f(x) = (1 -r)ˣ, where r is called the decay rate. it can be found by having any two values of x for which f(x) is known.
The given problem can be solved as follows,
The function is f(x) = abˣ
And, the given points on the function are (0, 10000) and (3, 3430).
Substitute x = 0 and f(x) = 10000 in the f(x) to obtain,
f(0) = ab⁰
=> 10000 = a
Again, substitute x = 3 and f(x) = 3430 in the f(x) to obtain,
f(3) = ab³
=> 3430 = 10000 × b³
=> b = ∛0.3430
=> b = 15.08
Hence, the values of a and b for the given exponential function are 10000 and 15.08 respectively.
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