The table shows y as a function of x. Suppose a point is added to this table. Which choice gives a point that preserves the function?
Responses
A (−3, −8)(−3, −8)
B (−6, 3)(−6, 3)
C (−5, −2)(−5, −2)
D (9, 8)
Answers
The point that preserves the function is option A(-3,-8).
What do you mean by function?
A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
According to the given question,
We have four option for the answer.
Note: if f is a function then each number of the domain has an unique image.
Since (regarding the table) the image of 9 is 6 then the answer D is wrong
The same apply on answers B and C .
Therefore, the right answer is A(-3,-8).
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Related Questions
Solve for x
Note drawn to scale
Geometry
Answers
Answer:
x=2
Step-by-step explanation:
1. Set the proportions equal: 5/2x-3 = 15/27
2. Butterfly method: 27x5 = 3x-3 x 15
3. Continue solving: 135 = 45x-45
4. Break it down: 45x = 90
5. Solution: 2 because 45 x 2 is equal to 90
Answer:
x=4
Step-by-step explanation:
[tex]\frac{3x-3}{5}=\frac{24+3x}{20}[/tex] Original equation. A proportion can be set up so that
you can find x. One proportion can be one side over the
other side of one of the smaller triangle set equal
to the total length of the larger triangle. 27 and -3 can
combine forming 24, which continues to be added to 3x.
15 and 5 can be combined to become 20.
20(3x-3)=5(24+3x) Now, cross multiply. This involves the distribution of one
term to the terms it's multiplied by. 20*3x=60x and
20*-3=-60. 5*24=120 and 5*3x=15x.
60x-60=120+15x Now, the goal is to get x alone on one side. You can do
this by combining like terms. Subtract 15x from both
sides and add 60 to both sides.
45x=180 Then, divide by 45 to get x by itself.
x=4 This is your answer.
0.4x+6.1forx= -5
show work
Answers
0.4(-5) + 6.1 = 4.1
0.4(-5) + 6.1
-2 + 6.1 = 4.1
0.4x + 6.1 = 4.1
A department store buys 400 shirts at a cost of $4,800 and sells them at a selling price of $20 each. Find the percent markup.
Answers
40% is the percent markup.
What does math mean by percentage?
A value or ratio that may be stated as a fraction of 100 is referred to in mathematics as a percentage. Divide the number by the total and multiply by 100 to find the percent of a given number. , a.
an a, the in the an in the an in the an in the an in the Per 100 is what the word percentage signifies.
= 1 - 4800 /20 ÷ 400
= 1 - 12/20
= 1 - 3/5
= 5 - 3/5
= 2/5
Multiply a number to both the numerator and the denominator
2 *20/5 *20
= 40/100
= 40%
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I need an explanation on how to solve it!
Answers
The factored form of f(x) is f(x) = (x+2) (x+2)(x+4)
What is a factor?
A factor is a number/expression that divides another number/expression, leaves zero remainder . In other words, if multiplying two numbers/expressions gives us a product, then the numbers/expressions we are multiplying are factors of the product because they are divisible by the product.
f(x) = x³ +8x² + 20x + 16
The value of x at which f(x) is zero, is the root
x= -2 is a root
so, ( x- (-2) ) = ( x+2) is a factor
Divide the polynomial x³ +8x² + 20x + 16 by ( x+2) using long division method:
x+2) x³ +8x² + 20x + 16 ( x² + 6x + 8
x³ + 2x²
_______________________
6x² + 20x + 16
6 x² + 12x
____________________________
8x + 16
8x + 16
__________________________
00
f(x)= (x+2) (x² + 6x + 8 )
Factors of (x² + 6x + 8 ) are (x+2)(x+4)
f(x) = (x+2) (x+2)(x+4)
Thus, the factored form of f(x) is f(x) = (x+2) (x+2)(x+4)
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The surface area of this cylinder is 118.378 square yards. What is the height?
Use ≈ 3.14 and round your answer to the nearest hundredth.
r = 2.9 yd
Answers
The surface area of this cylinder is 118.378 square yards. 3.6 yard is the height.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
For instance, the surface area of a cube is its surface area if we need to determine how much paint is needed to paint it. Square units are used to measure it at all times.
The terms "lateral surface area," "curved surface area," and "total surface area" refer to three different forms of surface area.
Surface area and volume are the cylinder's two main characteristics because it is a three-dimensional form. The area of the two circular bases combined with the cylinder's curved surface area equals the cylinder's overall surface area. Its volume is the three-dimensional area that a cylinder takes up.
Given that,
Surface area (A) of the cylinder = 118.378 square yards.
radius (r) = 2.9 yard
As we know, A = 2πrh + 2πr²
putting the values we get -
or, 118.378 = 2πr (h + r)
or, 118.378 = 2 × 3.14 ×2.9 × (h + 2.9)
or, 118.378 = 18.212 × (h + 2.9)
or, 6.5 = h + 2.9
or, h = 6.5 - 2.9
or, h = 3.6 yard
Thus, 3.6 yard is the height of the cylinder.
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if a/b=c, then a= bc
A. If a/b ≠ c, then a ≠ bc.
B. If a =bc then a/b=c.
C.Ff a ≠ bc, then a/b ≠c
D. If a/b=c. then a≠ bc
Answers
Even though A and B are both square, AB always equals BA.
How to Prove that if ab=ac, then b=c ?Could someone please assist me in demonstrating that b=c follows from ab=ac and a does not equal 0. You can only apply the field axioms. Here is my try.
ab=ac then, ab-ac=0
a(b-c)=0
a(0)=0 Since a cannot equal zero (this has already been shown), (b-c) must also equal zero, leaving us with...
b-c=0
b=c
The only issue I have with the above is that I presupposed that a did not equal 0. I'm not sure if this is okay because the original theorem I'm attempting to prove includes the claim that "a does not equal 0."
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The congruency theorem can be used to prove that △wut ≅ △vtu.
Answers
As per the congruency theorem, the two triangles are congruent.
Congruency theorem:
Congruency theorem states that "if all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other."
Given,
Here we need to prove that congruency theorem can be used to prove that △wut ≅ △vtu.
Let us consider triangles WUT and VTU.
And in these triangles:
=> WU≅VT
And in those one, ∠T≅∠U,
Therefore, m∠T = m∠U = 90°
Here the side TU is common.
Now, we have to note that triangles WUT and VTU are right triangles, because m∠T = m∠U = 90°.
Then the side TU is common leg and sides WU and VT are hypotenuses.
Therefore, the HL theorem states: if the hypotenuse (WU) and one leg (TU) of a right triangle (ΔWUT) are congruent to the hypotenuse (VT) and one leg (TU) of another right triangle (ΔVTU), then the triangles are congruent.
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Answer: HL
Step-by-step explanation:
f(x) = 2x³x² - 29x
What is the greatest possible number of turning points?
Answers
Answer:
4
Step-by-step explanation:
First we need to get some definitions out of the way
Definition of a turning point
A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising). A polynomial of degree n will have at most n−1 turning points.Definition of degree of polynomial
The degree of a polynomial is the degree of the term having the highest degree.The given polynomial is[tex]f(x) = 2x^3x^2-29x[/tex]The highest degree of [tex]x[/tex] is the degree of the polynomial
We know that when we multiply same terms with different exponents, the exponents get added. Therefore
[tex]x^3x^2 = x^{3 + 2} = x^5[/tex]So the polynomial can be re-written as:
[tex]2x^5 -29x[/tex]The highest degree of [tex]x[/tex] is [tex]5[/tex] and this is the degree of the polynomial
So the maximum number of turning points [tex]= 5-1 = 4[/tex]
Ohdhhdhdhdgdueyehehehhegehehehgegr
Answers
Answer:
JSHKAKSBKSBAK?
Step-by-step explanation:
If If you can help that would be great
3n < 3
Answers
Answer:
n<1
Step-by-step explanation:
3n<3
/3. /3
n<1
hopes this helps
Answer:
n < 1
Step-by-step explanation:
3/3 n < 3/3
n < 1
A new club sent out 250 coupons to boost sales for next year's memberships. They provided 4 times as many to potential members than to existing members. How many coupons did they send to existing members?
A.
4
B.
50
C.
5
D.
54
Answers
Answer: 50 existing members
a project has the following projected outcomes in dollars: $210, $320, and $540. the probabilities of their outcomes are 25%, 55%, and 20% respectively. what is the expected value of these outcomes?
Answers
The expected value of these outcomes are $262.5, $496 and $648 respectively
How to calculate expected values?You should know that the expected value are the proportion of the values when valued with the percentages
The given values are $210, $320 and $540
The given percentages are 25%, 55% and 20%
The expected values are
0.25*210 = $52.5+210=$262.5
0.55*320=176+320=$496
0.20*540=108+540=$648
Therefore the projected values of the project are $262.5, $496 and $648 respectively
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f(x) = 3x - 2 and g(x) = 2x
Find g(f(3))
Answers
Answer:
14
Step-by-step explanation:
To find g(f(3)), you will need to first find f(3) and then substitute that value into the function g(x).
To find f(3), substitute 3 for x in the equation for f(x):
f(3) = 3(3) - 2 = 9 - 2 = 7
Now substitute the value of f(3) into the equation for g(x):
g(f(3)) = g(7) = 2(7) = 14
Therefore, g(f(3)) = 14
Answer:
f(3)=7 g(3)=6
Step-by-step explanation:
f(x)=3x-2
f(3)=3(3)-2
f(3)=9-2
f(3)=7
g(x)=2x
g(3)=2(3)
g(3)=6
Solve over the complex number x^2+16=0
Answers
X^2=-16
Take square root of both side
X=+4, x=-4
X1=-4i, x2=4i
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in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens. give a 95% confidence interval for percent of american adults who believe in aliens.
Answers
American adults believes in alien for the given 95% confidence interval and sample surveyed is in the interval range of ( 0.66 , 0.78 ).
As given in the question,
Sample of American adults surveyed 'n' = 200
Percent of people believes in aliens are success 'p'= 72%
= 0.72
Percent of people who don't believes (failure) in aliens ' 1 - p' = 1 - 0.72
= 0.28
95% Confidence interval that represents Americans adults who believes in aliens
value of z - score for 95% confidence interval = ± 1.96
Margin of error 'MOE'= (z-score)√p ( 1- p) /n
= ( 1.96)√(0.72 × ( 1 - 0.72 )/ 200
= 1.96 ( √0.2016 / 200)
= 1.96 ×√0.001008
= 0.063
Lower limit = p - MOE
= 0.72 - 0.063
= 0.66
Upper limit = p + Margin of error
= 0.72 + 0.063
= 0.78
Therefore, 95% confidence interval with sample size of the Americans adults who believes in alien are in the interval of ( 0.66 , 0.78 ).
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Please find the equation that fits this chart
Answers
Answer: y = 3/4x
Step-by-step explanation:
(100, 75)
(200, 150)
find slope
150 - 75 / 200 - 100
75 / 100 = 3/4
plug values into formula y=mx+b to find y-intercept
y = 3/4x + b
75 = 3/4(100) + b
75 = 75 + b
b = 0
Simplify the expression |ab^3| if a>0 and b>0
Answers
The expression |ab^3| if a>0 and b>0 is even.
What is Parity Definition?
Even Function: A function is even if f(-x)=f(x) for all [tex]$x \in \mathbb{R}$[/tex] Odd Function: A function is odd if f(-x)=-f(x) for all [tex]$x \in \mathbb{R}$[/tex]
[tex]f(a): \quad|a|\left|b^3\right|[/tex]
[tex]f(-a): \quad|a|\left|b^3\right|[/tex]
[tex]-f(a):-|a|\left|b^3\right|[/tex]
Check parity of [tex]$|a|\left|b^3\right|$[/tex]
Check if Even: True
Check if Odd: False
Even
The expression |ab^3| if b>0
[tex]$$\begin{aligned}& f(a): \quad|a| b^3 \mid \\& f(-a): \quad|a|\left|b^3\right| \\& -f(a): \quad-|a| b^3 \mid\end{aligned}$$[/tex]
Check parity of [tex]$|a|\left|b^3\right|$[/tex]
Check if Even: True
Check if Odd: False
Even
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Bart is writing lines on a chalkboard that is initially empty. It ordinarily takes Bart 50 minutes to cover the whole board; however, today, Nelson is erasing the board while Bart is writing. Nelson can erase the board in 80 minutes by himself. If they work simultaneously, how long will it be until the whole board is covered?
Answers
think about this conceptually first. The difference between their rates of work is going to be the total speed at which the chalk board fills up (speed of writing - speed of erasing).
Ok, so we need to find the speed that Bart is writing, and the speed at which Nelson is erasing.
Bart: 50 minutes/ 1 board
However, we want to find his speed, which will be in boards/minute. Flip the fraction to get 1 board/50 minutes. Then multiply top and bottom by 1/50 in order to get 1/50 board per minute.
Bart's Speed = 1/50 board per minute
Do the same for Nelson, to get 1/80 board per minute (erasing).
The difference between these will be 1/50 - 1/80 = 3/400 board per minute
Since we want to know how long it will take to fill the board at this rate, we multiply 1 board * 1/(3/400) minute per board - this is the same as 1 * 400/3
So, the answer is 400/3 minutes, or 133.33 minutes, or 2 hours, 13 minutes.
#2
This is the same idea as #1. His speed without the headwind is 2000 miles/5 hours = 400miles/hour.
His speed with the headwind is 2000 miles/8 hours = 250 miles/hour.
400m/h - 250m/h = 150m/h
The speed of the wind is 150 miles/hour.
Pls help on my math question and for part c it’s 48 since the teacher gave us answer only for tht part and show work pls :)
Answers
a) Equation for length and width of the rectangular rug be [tex]x^{2}[/tex] + 8x - 42 = 0
b) Width of the rectangular rug be 3.5 feet
c) Diagonal of the rectangle is 12.5 feet
What is the area of the rectangle?
The area of a rectangle is the area occupied by the rectangle within its four sides or boundaries.
The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of the length and width of a rectangle. The perimeter of a rectangle is equal to the sum of all its four sides
It is given that area of a rectangular rug id 42 square feet. The rug is 8 feet longer than its wide
a) Let the width of the rectangular rug be x feet
Length of the rectangular rug = (x+8) feet
area of rectangular rug = Length × width = x × (x + 8) = [tex]x^{2}[/tex] + 8x
area of rectangular rug = 42
[tex]x^{2}[/tex] + 8x = 42
[tex]x^{2}[/tex] + 8x - 42 = 0
Therefore, equation for length and width of the rectangular rug be [tex]x^{2}[/tex] + 8x - 42 = 0
b) If the length of the rectangle is 12 feet
Area of rectangle = 42 square feet
length × width = 42 square feet
12 × width = 42 square feet
width = 42/12 = 3.5
Therefore, width of the rectangular rug be 3.5 feet
c) Length of the diagonal of the rectangle = [tex]\sqrt{length^2+width^2}[/tex]
= [tex]\sqrt{12^2+3.5^2}=\sqrt{144+12.25}=\sqrt{156.25}= 12.5[/tex]
Therefore, diagonal of the rectangle is 12.5 feet
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Segment AB has point A located at (8, 9). If the distance from A to B is 10 units, which of the following could be used to calculate the coordinates for point B
O 10 √(x+8)2+(y+9)²
O10-√√(x+9)²+(y+8)²
O10-√√(x-8)2+(y-9)²
O10-√(x-9)2+(y-8)²
Answers
Thus, we get that 10= sqrt((x-8)^2+(y-9)^2
What is the slope of the function
Y = -5/4x - 3
PLEASE HELP ASAP
Answers
Find the value of each variable
I’ve figured out Z, but need help with Y.
Answers
Answer: Y=112
Step-by-step explanation: Add all of the interior angles you have to get 248 and subtract 248 from 360.
67+80+101 = 248.
360-248 = 112
I NEED HELP ASAP
FIRST TI ANSWER GET BRAINLEST
Answers
Answer:
4.
y = -1/6 * x - 7/3
Step-by-step explanation:
We can just check:
1.
y = -1/6 * x
this doesn't work for x = -2 and y = -2 (first point) because we get
-2 = -1/6 * -2 = 1/3
this is nonsense
2.
y = -6x - 3/7
this doesn't work for x = -2 and y = -2 (first point) because we get
-2 = -6 * -2 - 3/7 = 12 - 3/7 = 11 + 4/7
this is nonsense
3.
y = -6x
this doesn't work for x = -2 and y = -2 (first point) because we get
-2 = -6 * -2 = 12
this is nonsense
4.
y = -1/6 * x - 7/3
this works for x = -2 and y = -2 because
-2 = -1/6 * -2 - 7/3 = 2/6 - 7/3 = 1/3 - 7/3 = -6/3 = -2
it also works for x = 4 and y = -3 because
-3 = -1/6 * 4 - 7/3 = -4/6 - 7/3 = -2/3 - 7/3 = -9/3 = -3
The ribbon on a spool is 13 yards long. How many 4 inch pieces of ribbon can be cut from the spool?
Answers
Answer:
117
Step-by-step explanation:
13 yards = 468 inches
468 ÷ 4 = 117
pls help due tomm!! super easyy
Answers
Answer:see below
Step-by-step explanation:
a+4<b+4
help me with this please !!!!
Answers
Answer: 2 times!
Step-by-step explanation:
(-1,0)
(4/3, 0)
Answer:
C.2
Step-by-step explanation:
See attached: the graph of your function
3x + 4y =8 write equation in slope intercept
Answers
Answer:
[tex]y=2-\frac{3}{4} y[/tex]
Step-by-step explanation:
Slope intercept form is y=mx+b
m is the slope; b is the y-intercept
Therefore, we need to isolate the y variable first
3x + 4y = 8
-3x -3x
4y=8-3x Divide both sides by 4 to leave y by itself.
/4 /4
[tex]y=2-\frac{3}{4} y[/tex]
How do you simplify 5+5x-3x+1
Answers
Answer:
6 + 2x
Step-by-step explanation:
5 + 5x - 3x + 1
add 5 + 1
6 + 5x - 3x
collect like terms 5x -3x
6 + 2x
Step-by-step explanation:
Please follow me the answer is 6+2x
or 2x+6
Multiply (-8.328)(15.99)
Answers
Answer:
-133.16472
Step-by-step explanation:
N/A
Answer:
-133.16472
Step-by-step explanation:
1 A, B and C are points on a circle with centre O.
8 cm A-B
15 cm B-C
B
AOC is a diameter of the circle.
AB= 8 cm
BC= 15 cm
Angle ABC = 90°
Work out the total area of the regions shown shaded in the diagram.
Give your answer correct to 3 significant figures.
Diagram NOT
accurately drawn
Answers
The total area of the shaded region is solved to be 154.93 cm²
How to find the total area of the shaded regionThe diameter is solved using Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required distance
x² = 8² + 15²
x² = 289
x = √289
x = 17
Work out the area of the triangle using the formula
= 1/2 * base * height
base = hypotenuse or diameter
height = radius = diameter/2
= 0.5 * 17 * 8.5
= 72.25 cm²
Area of the circle
= Π * radius²
= 22/7 * 8.5²
= 226.98 cm²
shaded portion
= Area of the circle - area of the triangle
= 226.98 - 72.25
= 154.93 cm²
the area of the shaded portion is 154.93 cm²
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