evaluate the function at each specified
value of the independent variable and simplify

Evaluate The Function At Each Specifiedvalue Of The Independent Variable And Simplify

Answers

Answer 1

Answer:

Evaluating the function is just replacing the "x" (or the "t" in the second case) by the value that we want:

1) q(x) = 1/(x^2 - 9)

 a) q(0) = 1/(0^2 - 9) = 1/(-9) = - 1/9

 b) q(3) = 1/(3^2 - 9) = 1/(9 - 9) = 1/0 = indetermined, we could think this as:

  [tex]\lim_{x \to \ 3} q(x) = infinity[/tex]

 c) q(y + 3) = 1/( (y + 3)^2 - 9) = 1/(y^2 + 6*y + 9 - 9) = 1/(y^2 + 6*y)

2) q(t) = (2*t^2 + 3)/t^2

 a) q(2) =  (2*2^2 + 3)/2^2 = (2*4 + 3)/4 = 11/4

 b) q(0) = (2*0^2 + 3)/0^2 = 3/0

  Again, we can not divide by zero, this is simmilar to the case 1.b

 c) q(-x) = (2*(-x)^2 + 3)/(-x)^2 = (2*x^2 + 3)/x^2

   


Related Questions

A card is drawn from a standard deck of 52 cards. What is the probability this card will be a king or an ace?
A. about 3.9%
B. about 7.7%
C. about 15.4%
D. about 50%

Answers

Answer:

C. about 15.4%

Step-by-step explanation:

There are 52 cards in a deck

There are 4 kings and 4 aces

so, 8/52 is the chance of getting either of those two.

8/52 is about 0.1538 or 15.38%

15.38% rounded would be 15.4%

write an equation in slope-intercept form for the line with slope -3/5 and y-intercept -2. :))

Answers

Answer:

Step-by-step explanation:

Given m=-3/5 ; c = -2

y =mx + c

y= (-3/5)x -2

If n ∥ m, which of the following statements are true? Select all that apply.

Answers

Answer:

c

Step-by-step explanation:

becuase 20+60 is 80

Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 3 loaves of
banana bread.Andre will follow the same recipe but only wants to make one loaf of
bread. How much flour will Andre use?

Answers

Answer:

2 1/2 cups of flour

Step-by-step explanation:

Priya is making 3 loaves of bread, so she will use 7 1/2 cups of flour.

Andre is making 1 loaf of bread, which is 1/3 the amount of loaves Priya is making. So, he will be using 1/3 the amount of flour Priya is using. So all we have to do is take 7 1/2 and divide it by 3:

7.5/3 = 2.5

Andre will use 2 1/2 cups of flour.

What number is missing in this equation?

(-8.7) • (-10) = ?

18.7

-18.7

87

-87

Answers

Answer:

C. 87

Step-by-step explanation:

(-8.7) • (-10) = 8.7 • 10 = 87

Correct option is C

Answer:

87

Step-by-step explanation:

Lucia invests $5000 at a rate of 4.5% per year compound interest. Calculate the value of her investment at the end of 7 years.​

Answers

The value of her investment at the end of 7 years is $11804

How to determine the value?

The given parameters are

Principal, P = $5000

Rate, r = 4.5%

Time, t = 7 years

The value is then calculated as:

Value = P * P(1 + r)^t

So, we have:

Value = 5000 + 5000 * (1 + 4.5%)^7

Evaluate the expression

Value = 11804

Hence, the value of her investment at the end of 7 years is $11804

Read more about compound interest at:

https://brainly.com/question/24924853

#SPJ1

just look at the picture

Answers

Answer:

80 and 9 in that order.

Step-by-step explanation:

Which expression is undefined

Answers

Answer:

A

Step-by-step explanation:

Any rational expression where the denominator is zero is undefined.

The only expression where the denominator is zero is A [tex]\frac{7}{0}[/tex]

Please tell me the answer

Answers

Answer: Its D

Step-by-step explanation:

negative is down and left positive is up and right

HURRY plzz Identify to corresponding side to side HG.

Answers

Answer:

it would be EC (B)

Step-by-step explanation:

I think the answer is b sorry if its whrong and good luck!

What is the value of g(-4)?

Answers

The value of g(-4) is 1. The correct option is C

What is a Piece-Wise Function?

A function that has a different sub-function for different intervals of the domain is called  Piece-Wise Function

The functions for the different interval is

g(x)= [tex]\rm \sqrt[3]{x+5}[/tex] , x ≤ -4

     = -x² +11 , x > -4

The value of g(-4) will be determined by using g(x)= [tex]\rm \sqrt[3]{x+5}[/tex]

Substituting the value x = -4

g(x) = [tex]\rm \sqrt[3]{-4+5}[/tex]

g(x) = ∛1

g(x) = 1

Therefore, The value of g(-4) is 1. The correct option is C

To know more about piece-wise function

https://brainly.com/question/27973487

#SPJ2

4x + 1 = 2x-5 HELP QUICKKKKKKKKKKKKKKK

Answers

Answer:

4x_2x=_5_1

2x=_6

2x/2=_6/2

X=_3

Answer:

x = - 3

Step-by-step explanation:

Given

4x + 1 = 2x - 5 ( subtract 2x from both sides )

2x + 1 = - 5 ( subtract 1 from both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3

Happy Thanksgiving!
2^9x6^3=

Answers

Answer:

offFfffff ^^3

Step-by-step explanation:

TYSMMMMM!!!!!!!;-;

PLEASE HELP!! REALLY URGENT!!

Answers

Answer:

it's the first option

Step-by-step explanation:

A...………….......... k

M is the midpoint of AB and MB=50

Answers

Answer:

What we have to find?

.....

After accelerating for 20 seconds, a DeLorean sports car has a wide range of speeds that it can achieve, depending on traction. The distribution of speed follows an approximately normal distribution with a mean of 80 mph and a standard deviation of 7 mph. What percentage of the trials will give the DeLorean a speed between 66 mph and 87 mph?

Answers

Answer:

81.859%

Step-by-step explanation:

We solve the question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 80 mph

σ is the population standard deviation = 7 mph

For x = 66 mph

z = 66 - 80/7

z = -2

Probability value from Z-Table:

P(x = 66) = 0.02275

For x = 87 mph

z = 87 - 80/7

z = 1

Probabilith value from Z-Table:

P(x = 87) = 0.84134

The probability of the trials will give the DeLorean a speed between 66 mph and 87 mph is calculated as:

P(x = 87 mph) - P(x = 66 mph)

0.84134 - 0.02275

= 0.81859

The percentage of the trials will give the DeLorean a speed between 66 mph and 87 mph?

100 × 0.81859

81.859%

Question 25
2 pts
Seth's father is thinking of buying his son a summer movie pass for $30 dollars.
With the pass, matinees cost $3 each. Without the pass each movie is normally
$8. If Seth plans to go to 30 movies this summer how much money would he
save? ONLY PUT THE NUMBER, NO DOLLAR SIGN.

Answers

Answer:

120

Step-by-step explanation:

First, you have to calculate the money that Seth would spent if he goes to 30 movies if his father gets the summer movie pass by adding up the cost of the pass plus the result of multiplying the cost per movie with the pass for the number of movies:

30+(3*30)=30+90=120

Second, you need to calculate the money that Seth would spent if he goes to 30 movies without the pass by multiplying the normal price per movie for the number of movies:

8*30=240

Third, you need to find the difference between both costs:

240-120=120

According to this, the answer is that if Seth plans to go to 30 movies this summer, he would save 120.

Jody's older brother is only three years less than twice Jody's age. If the sum of their ages is 30, write an equation (do not solve) to find the age of Jody's brother.

Answers

Answer:

y = 2x-3

Step-by-step explanation:

Twice the age means 2x

three less means -3

2x -3 = y

y = 2x -3

Brainliest appreciated!

lol help please! y=?x+?

Answers

Answer:

y= 1/2x + -3

Step-by-step explanation:

it starts at -3, and climbs by 1/2 points every time. (remember, 1/2 can be read as rise/run. Rise one, run 2)

What is the solution to this equation?
–0.2(x – 20) = 44 – x

Answers

Answer: x=50

Step-by-step explanation:

Use the distributive property to multiply -0.2 by x-20.

-0.2x+4=44-x

Add x to both sides.

-0.2x+4+x=44

Combine -0.2x and x to get 0.8x.

0.8x+4=44

Subtract 4 from both sides.

0.8x=44-4

Subtract 4 from 44 to get 40.

0.8x=40

Divide both sides by 0.8.

x=40/0.8

Expand 40/0.8 approx 50 by multiplying both numerator and the denominator by 10.

X=400/8

Divide 400 by 8 to get 50.

x=50

Which one of these words describe mirror image
A.Translation
B.Dialation
C.Reflection
D.Rotation

Answers

Reflection. A reflection is what appears to be the same distance from the other side of the mirror.

Does it matter what order you add integers?

Answers

Answer:

Yes!

Step-by-step explanation:

If not people won't understand the concept of the problem you are working on. Hope this helps please reward me brainlist!!!

Answer:

it depends with what you are doing or using them for

It depends with what you are doing with them

13/10 ​ start fraction, 13, divided by, 10, end fraction of a number is what percentage of that number?

Answers

Answer:

1.3??

Step-by-step explanation:

Answer:

130%

Step-by-step explanation:

Let x be the unknown number.

of the unknown number = [tex]\frac{13}{10}[/tex] [tex]x^{}[/tex]= 1.3x

We need to find the [tex]\frac{13}{10}[/tex] of a number is what percent of that number.

%=[tex]\frac{new value}{Inital Value}[/tex] x 100

Substitute 1.3x for new value and x for initial value in the above formula.

%=[tex]\frac{1.3x}{x}[/tex]x 100

Cancel out the common factors.

%= 1.3 x 100

%= 130

Therefore, [tex]\frac{13}{10}[/tex] of a number is 130% of that number.

Which expression is equivalent to (x^2/3)^3/2?

Answers

Answer:

x

Step-by-step explanation:

[tex] \frac{2}{ x3} \times \frac{3}{2} \\ \frac{1}{3} \times 3 \\ \frac{1}{ x3 } \times 3 \\ {x}^{1} \\ x[/tex]

Los ingresos de una familia son el sueldo del padre de $ 560.400 y el aporte del hijo mayor de $280.600. El 34% de estos ingresos se destinan al pago del arriendo de la casa y el 50% de lo restante corresponde al costo de la alimentación de la familia.
1.- ¿Cuánto gasta esta familia en alimentación?
2.- ¿Qué porcentaje de los ingresos corresponden a los gastos de alimentación?

Answers

Answer:

ITS SPANISH ENGLSIH PLEZ

Step-by-step explanation:

Can somebody help me in this question? It would be very appreciated! :)

Answers

Answer:

see explanation

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = width × length

let width be w then length is 2w + 3 ( 3 more than twice the width ), then

A = w(2w + 3) ← distribute

   = 2w² + 3w

When w = 4 , then

A = 2(4)² + 3(4)

   = 2(16) + 12

    = 32 + 12

     = 44 ft²

find the values of x, y, and z​

Answers

Answer:

PLEASE MARK AS BRAINLIEST

Z = 130

Y = 50

X = 130

Step-by-step explanation:

hope this helped

I don’t see a picture

Solve the simultaneous equations
5x-y=5
2y-x²=11
YOU MUST SHOW YOUR WORKING

Answers

Answer:

Correct Equations:-

[tex]\sf 5x-y=5 \\ \sf 2y-x=11 [/tex]

solution:-

[tex]\sf 5x-y=5\dots\dots(1)[/tex]

[tex]\sf -x+2y=11 \dots\dots (2)[/tex]

We use elimination method By multiplying eq (1) by 2 and eq (2) by 1 we get

[tex]{:}\longrightarrow[/tex][tex]\sf 10x-2y=5\dots\dots(3)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -x+2y=11\dots\dots (4)[/tex]

______________________Add eq (3) and eq (4)

[tex]{:}\longrightarrow[/tex][tex]\sf 4x=16 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {16}{4}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=4 [/tex]

Substitute the value in eq (2)

[tex]{:}\longrightarrow[/tex][tex]\sf -4+2y=11[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2y=11+4 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2y=15 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac {15}{2}}[/tex]

[tex]\therefore[/tex][tex]\sf (x,y)=(4,{\dfrac {5}{2}})[/tex]

Answer:

(3, 10 ) and (7, 30 )

Step-by-step explanation:

Given the 2 equations

5x - y = 5 → (1)

2y - x² = 11 → (2)

Rearrange (1) expressing y in terms of x

y = 5x - 5 → (3)

Substitute y = 5x - 5 into (2)

2(5x - 5) - x² = 11

10x - 10 - x² = 11 ← rearrange into standard form

x² - 10x + 21 = 0 ← in standard form

(x - 3)(x - 7) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 7 = 0 ⇒ x = 7

Substitute these values into (3) for corresponding values of y

x = 3 → y = 5(3) - 5 = 15 - 5 = 10 ⇒ (3, 10 )

x = 7 → y = 5(7) - 5 = 35 - 5 = 30 ⇒ (7, 30 )

Please help!
Find all the missing angles ??

Answers

Answer:

A 62°

B 118°

C 62°

D 118°

E 50°

F 58°

G 120°

H 120°

I 120°

J 60°

K 60°

L 60°

M 120°

N 120°

O

P 60°

Q 35.5°

R 49°

S 35.5°

T 109°

U 71°

V 109°

W 60°

Two lines, A and B, are represented by the equations given below!
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?

A. (-3,-5), because the point satisfies ONE of the equations

B. (-3,-5), because the point lies between the two axes

C. (-4,-8), because the point satisfies BOTH equations

D. (-4,-8), because the point does not lie on any axis

Answers

Answer:

The solutions to the system of equations are:

[tex]y=-8,\:x=-4[/tex]

Thus, option C is true because the point satisfies BOTH equations.

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}[/tex]

[tex]y-3x=4[/tex]

[tex]-[/tex]

[tex]\underline{y-x=-4}[/tex]

[tex]-2x=8[/tex]

[tex]\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}[/tex]

solve for x

[tex]-2x=8[/tex]

Divide both sides by -2

[tex]\frac{-2x}{-2}=\frac{8}{-2}[/tex]

[tex]x=-4[/tex]

[tex]\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4[/tex]

[tex]y-\left(-4\right)=-4[/tex]

[tex]y+4=-4[/tex]

[tex]y=-8[/tex]

The solutions to the system of equations are:

[tex]y=-8,\:x=-4[/tex]

Thus, option C is true because the point satisfies BOTH equations.

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