Answers
The answer should be A. :)
The correct rational function of the graph is,
⇒ f (x) = 1 /(x + 5)²
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph is shown in fgigure.
Now, By graph of function,
The graph is not defined at x = - 5.
Hence, From equation (i);
⇒ f (x) = 1 /(x + 5)²
Clearly, Function is noy defined at x = - 5.
Hence, The correct rational function of the graph is,
⇒ f (x) = 1 /(x + 5)²
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Related Questions
A team of 28 divers set a record by diving 190.4 miles under water. What is the mean distance dived by each diver?
Answers
Answer:
6.8 miles
Step-by-step explanation:
We can apply the formula :
⇒ Mean distance per diver = Total distance covered / No. of divers
=============================================================
Given :
⇒ Number of divers = 28
⇒ Total distance travelled = 190.4 miles
===========================================================
Solving :
⇒ Mean distance = 190.4 miles / 28
⇒ Mean distance = 6.8 miles
Suppose y = 2x + 10. Find y if
x= -6.
Answers
2x^-3 y^-2
——————
4xy^5
Answers
[tex]~~\dfrac{2x^{-3} y^{-2}}{4xy^5}\\\\\\=\dfrac 12\cdot x^{-3-1} \cdot y^{-2-5}~~~~~~~~~~~~~~~~~~~~~~;\left[\dfrac{a^m}{a^n} = a^{m-n}\right]\\\\\\=\dfrac 12\cdot x^{-4} \cdot y^{-7}\\\\\\=\dfrac{1}{2x^4 y^7}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[k^{-n} = \dfrac 1{k^n},~ k\neq 0\right][/tex]
HELP!!! please this is my last question for my paper
Answers
Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
We can use pytho theorem to find X because its a right triangle, so:
a^2 + b^2 = c^2
plug our numbers
1^2 + 1^2 = x^2
simplify
1+1 = x^2
2=x^2
answer = root2
1 what is sum of the interior angles of ABCD what is the sum of the exterior angles of CHFE 3 which sides are parallel to CE 4 whicl side id perpendoicular to CE 5 what is the of the measure of
Answers
Given that ABCD is a parallelogram, the sum of its interior angles is:
360°
A parallelogram is a rectilinear two-dimensional figure with four sides whose opposite sides are parallel. See the image attached.
What is the sum of the exterior angles of CHFE?The sum of the exterior angles of any Triangle or any polygon is 360°. Hence, the sum of the exterior angles of CHFE (a polygon) is 360°.
Which sides are parallel to CE?The sides that are parallel to CE are:
FH
AD and
IJ.Which side is perpendicular to CE?
The side that are perpendicular to CE is side side HH, hence we can state that:
CE ⊥ EH, because both lines intersect each other at right angles.
Because the sum of angles in a triangle is 180° and we already have ∠CEH to be equal to ∠90° hence,
∠C + ∠H? = 180° - 90°
= 90°
What is the measure of the exterior angles of a Regular Pentagon?The measure of the exterior angles of a regular pentagon is 72°
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What is the permimeter of a 4’ square
Answers
Answer:
16'
Step-by-step explanation:
4'
4 equal sides
4+4+4+4=16
Answer: Permimeter of a 4’ square is 16.
Step-by-step explanation:
given that:
• length = 4
∴ Perimeter of Square = 4 x length
⇒ P = 4 × 4
⇒ P = 16 units ...answer...
hope that helps...
PLEASE GOD HELP ME!!!!
Answers
Another expression for the given rational function is [tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]
Indices expressionGiven the rational function expressed as:
x = √rs
We can reconstruct the expression by writing it using exponents as shown;
[tex]x =\sqrt{rs}=(rs)^{\frac{1}{2} }[/tex]
Separate to have:
[tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]
Hence another expression for the given rational function is [tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]
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Solve the following system of equations.
f(x) = 3x² - 7x-2
g(x) = -2x² +8
Answers
Answer:
f(x) = 3x²-7x-2
answer: (7+- √73)/6
g(x) = -2x² +8
answer:
x = +-2
Step-by-step explanation:
picture is attached
quadratic formula
click on the screenshot
A 7-pack of DVDs costs $31.71. What is the unit price?
Answers
Explanation:
7 dvds cost 31.71 so divide 31.71 by 7
31.71/7 = 4.53
The unit price of each is $4,53
Unit price is the value of each separate item. As per the listing, 7 DVD packs in total are $31,75. So, to know the value of each DVD, let's divide the total value - by the 7 DVDs.
$31,75 ÷ 7 = $4,53
Therefore, the unit value of each DVD is $4,53
im lost can someone help?
Answers
What is the slope of the line y=3-x/8?
Answers
change the sign of the x-coordinate and keep the sign of the y-coordinate the same.
Answers
IT doesn't make any sense
5/6 of all the money in Salma's bank account is ₹55,000. how much money does Salma have in her bank account?
please answer
Answers
Answer:
₹66,000
Step-by-step explanation:
If 5/6 is 55,000 then just multiply 55,000 by the reciprocal 6/5 to get 66,000
Segment AB with endpoints at A(6, 5) and B(6, 15) is partitioned by point P according to the ratio of 3:2. Find the coordinate of point P.
Answers
[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(6,5)\qquad B(6,15)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(6,5)=3(6,15)[/tex]
[tex](\stackrel{x}{12}~~,~~ \stackrel{y}{10})=(\stackrel{x}{18}~~,~~ \stackrel{y}{45})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{12 +18}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +45}}{3+2} \right)} \\\\\\ P=\left( \cfrac{30}{5}~~,~~\cfrac{55}{5} \right)\implies P=(6~~,~~11)[/tex]
Part 1: Bob got tickets for himself and his son to go to a Saints game. Parking at the Dome is $20. If Bob spent $120 on tickets and parking, how much was each ticket? Choose the correct equation.
20x+2=120
2x + 120 = 20
2x+20=120
Answers
That’s the answer also 50$ per ticket
!!
Mum spent 3/5 of her money and put 1/8 of the remainder in the bank. If she had $750 left, how much did she start with?
Answers
Answer:
$2142.86
Step-by-step explanation:
The remaining part of her money, after spending 3/5 of it and depositing 1/8 of it is equal to $750.
===============================================================
Retracing the steps :
⇒ She put 1/8 of the remainder in the bank, which gives $750
⇒ R - R/8 = 750
⇒ 7R/8 = 750
⇒ R = 750/7 × 8
⇒ R = 107.142857 × 8
⇒ R = 857.142856
* Don't worry, we'll simplify at the end of the answer *
=============================================================
Now, this remainder is what was left after spending 3/5 of it.
⇒ T - 3/5T = 857.142856
⇒ 2/5T = 857.142856
⇒ T = 857.142856/2 × 5
⇒ T = 428.571428 × 5
⇒ T = $2142.86 (nearest cent)
What is the classification for this polynomial?
x²y + 3x³
Click on the correct answer.
monomial
binomial
trinomial
Answers
It’s a Binomial
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
Trinomial
[tex]\large{\underline{\underline{\pmb{\sf {\color {green}{Explanation:}}}}}}[/tex]
We can see that, in the given expression "x²y + 3x³" and the highest power is "3" so it's is trinomial.
In expression, if we the highest power is "one" then its called "monomial"(one), if the highest power is "2" then "binomial"(two) and lastly if it is "3" then "trinomial"(three).
[tex] \boxed{ \frak \red{brainlysamurai}}[/tex]
let me know asap PLEASE
Answers
Answer:
the correct answer is B
Step-by-step explanation:
A function g is the inverse for the function f if for y-f(x), x-g(y)
y=7x-6
Replace x with y
x=7y-6
Solve for y in x=7y-6
Switch sides
7y-6=x
Add 6 to both sides
7y-6+6=x+6
Simplify
7y=x+6
Divide both sides by the coefficient of y, which is 7. We have:
7y/7 = x/7+6/7
7y & 7 are cancelled out and we're left with: x/7 & 6/7
Now we find the LCM of the denominators which is 7.
7 divide the denominators equal 1, we use the to multiply the numerators, x & 6
our final answer= x+6/7
I hope this helps.
The graph of which of the following equations contains the point (-3,0)?
A. 22+y=6
B. x - 2y = 6
C. -x + 2y = 6
D. -2x + y = 6
Answers
Answer:
B. x-2y=6
Step-by-step explanation:
The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder, in cm3 Rounded to the nearest hundredth.
Answers
Answer:
V = 150.72 cm³.
Step-by-step explanation:
First, get the volume of a cylinder.
V = πr²h
Where:
π = 3.14 (given)
r = radius (half of diameter, or 2)
h = height (12)
Knowing this, substitute the known values.
V = πr²h
V = (3.14)(2²)(12)
Square 2.
V = (3.14)(4)(12)
Multiply 3.14 and 4.
V = (12.56)(12)
Multiply 12.56 and 12.
V = 150.72.
Since it is already rounded to the nearest hundredth, that is your answer.
Rosa brought d drawings to an art show. After selling 15 of them, she had 38
left. Identify the equation that represents this situation and the correct
solution.
OA. d-15=38; d = 53
OB. d-15=38; d = 23
C. d+15=38;d=23
OD. d+15=38; d = 53
Answers
Answer:
A
Step-by-step explanation:
because
d-15=38
d-15+15=38+15
d=53
2x²-8x-10
how do i factor this explains step:)
Answers
Answer:
Step-by-step explanation:
Solution
The distributive property is one of the handiest tools when factoring. You can't use it all the time, but it makes this problem so much easier. Use the distributive property to factor out the 2 from all three terms.
2(x^2 - 4x - 5)
Notice how much easier the problem got. There are only 2 integers that divide into 5. One of them is 5 and the other is one. So the solution is going to look like this
2(x 5) (x 1)
But what do you put in the space? Your choice is between a plus or a minus. Look to the middle term to find out. It is a minus 4. That means that the 5 must be minus because 5 is bigger than 1.
2(x - 5)(x 1 )
So what about the second bracket? It has to be plus. An odd number of minus signs always gives a minus. We used up the one minus we had so the one must have a plus in front of it.
2(x - 5)(x + 1 )
What proportion could you use to
find the value of x?
Answers
Answer:
short leg : long leg
x : 11 = 3 : x
Step-by-step explanation:
short leg : long leg
x : 11 = 3 : x
[tex]\implies \sf \dfrac{x}{11}=\dfrac{3}{x}[/tex]
[tex]\implies \sf x^2=33[/tex]
[tex]\implies \sf x=\sqrt{33}[/tex]
Answer:
3/x=x/11
Step-by-step explanation:
The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation
Answers
The ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28
How to find the Mean Absolute Deviation?From the given table, we see that;
Mean grade of Sidney = 82
Mean grade of Phil = 78.
Mean absolute deviation of Sidney = 3.28
Mean absolute deviation of Phil = 3.96.
The difference between the two means of Sidney and Phil = 82 - 78 = 4.
Thus, the ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28
Complete Question is;
The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below. Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades Sidney Phil Mean 82 78 Mean Absolute Deviation 3.28 3.96 Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?
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Use the drop downs to determine which symbols
would complete the inequality for the domain.
-4 _(a)_x__(b) 4
(a)
less than or equal to O
(b)
less than or equal to
less than
greater than or equal to
greater than
-5
5
ty
5
x
Answers
The domain of the graph is x ≥ -4
How to determine the domain?From the given graph, we have the following highlights:
The x values start from -4The x value moves to the right of the graph (this means greater than)There is a closed circle at the smallest x value (this means equal to)Greater than and equal to are represented by ≥.
This means that the symbol that completes the domain of the graph is ≥
Hence, the domain of the graph is x ≥ -4
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what is the answer to this
Answers
Step-by-step explanation:
[tex]m {}^{2} + 5 \\ = 9 {}^{2} + 5 \: \: \: \: \: \: \\ = 9 \times 9 + 5 \\ = 81 + 5 \: \: \: \: \: \: \: \\ = 86 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
hope it will be helpful
Answer:
86
Step-by-step explanation:
Evaluate the expression:Plugin the value of m, in the expression
m² + 5 = 9² + 5
= 81 + 5
= 86
I need help QUICK!!!
Answers
Answer:
87 in³
Step-by-step explanation:
that is the solution above
Round your answer to the nearest tenth if necessary. Use 3.14 for .
A building can be approximated by a cylinder that is 100 meters in diameter and 30 meters in height. Find
its volume.
Its volume is approximately
m³.
OMG THIS IS SO HARD!!
Answers
Answer:
235500m3
Step-by-step explanation:
Volume of Cylinder= πr^2h
π=3.14, D=100m, r=D/2, r=100/2, r=50m, h=30m
πr^2h= 3.14×50×50×30
=3.14×75000
=235500m3
at tree is 24 feet tall and casts a shadow of 10 feet. at the same time, a tower casts a shadow of 25 feet. what's the height, in feet, of the tower?
a.45 feet
b.60 feet
c. 75 feet
d. 90 feet
Answers
Using similarity principle, the height of the tower in feet is 60 feet.
How to calculate the height of the tower?The height of the tower can be calculated using similarity principle.
Using similarity principle the corresponding sides are a ratio of each other.
Therefore,
let
x = height of tower
24 / x = 10 / 25
cross multiply
10x = 24 × 25
10x = 600
divide both sides by 10
x = 600 / 10
x = 60
Therefore, the height of the tower is 60 feet.
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Consider the graph of the function f(x)=In x. Match each transformation of function f with a feature of the transformed function. function decreases as x increases x-intercept at y-intercept at
Answers
The matching of each transformed function is as follows;
g(x) = 2f(x) → y-intercept at (0,2)
h(x) = f(x) + 2 → asymptote of y=2
j(x) = f(x + 2) → y-intercept at (0,4)
m(x) = function decreases as x increases
How to match transformations?A function is simply defined as a relationship between the inputs and the outputs. Now, we want to map each transformed function.
From the graph of this question as shown in the attached brainly link, the correct matching of each transformation of function f(x) = In x with a feature of the transformed function are as follows;
g(x) = 2f(x) → y-intercept at (0,2)
h(x) = f(x) + 2 → asymptote of y=2
j(x) = f(x + 2) → y-intercept at (0,4)
m(x) = function decreases as x increases
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