Let f(x) = 5x - 4 and g(x) = x^2- 1. Find (g•f)(0).

Answers

Answer 1

Answer:

[tex](g\cdot f)(0)=4[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=5x-4\text{ and } g(x)=x^2-1[/tex]

And we want to find:

[tex](g\cdot f)(0)[/tex]

This is the same as:

[tex]=g(0)\cdot f(0)[/tex]

So, find g(0) and f(0):

g(0):

Substitute 0 into g(x):

[tex]g(0)=(0)^2-1[/tex]

Square:

[tex]g(0)=0-1[/tex]

Subtract:

[tex]g(0)=-1[/tex]

And f(0):

Substitute 0 into f(x):

[tex]f(0)=5(0)-4[/tex]

Multiply:

[tex]f(0)=0-4[/tex]

Subtract:

[tex]f(0)=-4[/tex]

So, our equation is now:

[tex](g\cdot f)(0)=g(0)\cdot f(0)=(-1)\cdot(-4)[/tex]

Multiply:

[tex]=4[/tex]

So, our answer is 4.

And we're done!


Related Questions

In which quadrant is the coordinate pair (-11, 1) located?
A. IV
b. I
c. II
d. III

Answers

The coordinate pair (-11, 1) is located on quadrant II

The formula c = 2.54n can be used to convert a measurement of c centimeters to an equivalent measure of n inches. Henry is 170 cm tall. What is his height, in inches? Round your answer to the nearest tenth of an inch. 66.7 in. 66.8 in. 66.9 in. 67.0 in.

Answers

Answer:

66.9

Step-by-step explanation:

Answer:

[tex]\boxed {\tt 66.9 \ inches}[/tex]

Step-by-step explanation:

We are given the formula:

[tex]c=2.54n[/tex]

where [tex]c[/tex] is centimeters and [tex]n[/tex] is inches.

We know that Henry is 170 centimeters tall. Therefore, we can substitute 170 in for [tex]c[/tex]

[tex]170=2.54n[/tex]

We want to find out how tall Henry is, in inches. We must isolate the variable for inches, [tex]n[/tex], on one side of the equation.

[tex]n[/tex] is being multiplied by 2.54. The inverse of multiplication is division. Divide both sides of the equation by 2.54

[tex]\frac{170}{2.54} =\frac{2.54n}{2.54}[/tex]

[tex]\frac{170}{2.54}=n[/tex]

[tex]66.9291339=n[/tex]

Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 9 in the tenth place.

[tex]66.9 \approx n[/tex]

[tex]n \approx 66.9 \ inches[/tex]

Henry is about 66.9 inches tall.

Why can you not combine the 8a2 and 8a?

Answers

Answer:

you can't add or subtract numbers that don't have the same variable or the same exponent

Answer:

You cannot combine the terms [tex]8a^2[/tex] and [tex]8a[/tex] because they are not like terms, which are terms that consist of both the same power, and the same variable. Seen with the two terms given, they both share the same variable ([tex]a[/tex]), but not the same power ([tex]2[/tex]).

If RS=5, ST=15, what is the length of RT? Show your work

Answers

Answer:

20 Units

Step-by-step explanation:

RS plus ST equals RT.

Take this visual:

_____/_______________

R       S                                 T

5 un                15 un

Using the segment addition postulate, we can tell RS+ST=RT

5+15=20

Hope this helps :-)

An airplane can fly at a rate of 600 miles per hour. How fast does an airplane travel per minute?

Answers

(There are 60 minutes in 1 hour)

1)First we can start of by dividing 600 by 60

2)You should get the answer of 10

Answer:  10 miles per minute.

Answer: It travels 10 miles per minute

Step-by-step explanation:

Divide 600 by 60

How many multiples of 5 are between 7999 and 10,000?

Answers

Answer:

There are 40 multiples of 5.

Step-by-step explanation:

You take 10000 and subtract 8000 = 2000.

Then divide 2000 by 5.

Place commas in the number 4978.

Answers

Answer:

4,978 because after 3 digits you have to put a coma

Answer:

4,978

Step-by-step explanation:

Help quick please you don’t have to show work

Answers

Answer:

2nd

Step-by-step explanation:

Answer:

B. Between Step 1 and Step 2, combining like terms is used.

5-3x(-2)+[5-3x(-3)+1]

Answers

Answer:

15x + 11

Step-by-step explanation:

What is the midpoint of points (1,1) and (-6,-8)

Answers

Answer:

(-2.5, -3.5)

Step-by-step explanation:

In order to find midpoint, you must add both x coordinates then divide by two and add both y coordinates then divide by two.

1 + (-6) = -5

-5/2 = -2.5

1 + (-8) = -7

-7/2 = -3.5

Given f(x) = 4(x - 8), determine the value of f(10).

Answers

Answer:

f(10) = 8

Step-by-step explanation:

f(x) = 4(x - 8)

Let x = 10

f(10) = 4 ( 10-8)

       = 4 ( 2)

      = 8

Here, we are provided with a polynomial in x and it's general value in variable X is also given.

[tex]f(x) = 4( x - 8)[/tex]

We need to find the value of f(10)

For this, we need to substitute the value of x with 10, because we are required to find f(10)

Given polynomial, f(x) = 4(x - 8), Putting value of x

[tex]f(10) = 4(10 - 8)[/tex]

[tex]f(10) = 4(2)[/tex]

[tex]f(10) = \boxed{ \red{8}}[/tex]

This is our required answer !!

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

Solve for x. *
2 (x - 3) = 5x + 23

Answers

Answer:-29/3

Step-by-step explanation:

distribute the left side: 2x-6 = 5x+23

combine like terms: -3x=29

divide by -3 on both sides: x= -29/3

round 27.68 to the nearest tenth​

Answers

Answer:

27.7

Step-by-step explanation:

For this problem, we will simply use standard rounding conventions to round the number to the nearest tenth.

If the number after the target, the hundreths place in this case, is between 0 and 4, we won't change the tenths place.  If the number is between 5 and 9, we will increment the tenths place by one.

So for our number, 27.68, 8 is between 5 and 9 so we will increment the tenths place by one for the round.

Hence, our rounded answer for the nearest tenth is 27.7.

Cheers.

Your answer is 27.7.

Hey! I'm not sure what the answer is to this..Mind helping me out?

Answers

Answer:

81

Step-by-step explanation:

A perfect square has all side lengths the same so...

9*9=81

Answer:
81

Explanation:
A perfect square has lengths that are all the same, so if one side is 9 the other sides must be 9. Then using the formula to find area (A=LxW) we can multiply 9 x 9 to get a area of 81.
A=9x9
A=81

-6(2)divided by (-3)

Answers

Answer:

4

Step-by-step explanation:

Following PEMDAS order:

-6*2=-12

-12/-3=4

Answer:

-6(2)(-3)

-3+2

-5

Step-by-step explanation:

Pls help plssssssssss

Answers

Answer:

Step-by-step explanation:

Hi!

I already solved it here.

https://brainly.com/question/17314856

It just says to solve for n, anyone able to help me? :,)

Answers

If it’s just solving for n it should be ...n=4 :D

Answer:

n=4

Step-by-step explanation:

n+5{n-2}=14

n+5n-10=14

6n-10=14

  +10  +10

6n=24

6/6=1

24/6=

n=4

On a map, 2 cm represents 30 mi. The actual distance between two towns
is 75 mi. What is the distance between the towns on the map? USE
NUMBERS ONLY*

Answers

Answer:

5 cm

Step-by-step explanation:

step one:

Given that the scale of the map is

 2cm to represent 30 miles

That is  every 1 cm is 15 miles in reality

step one:

what we are solving for is the distance in cm on the map so,

1cm rep 15miles

xcm rep 75miles

cross multiply

Xcm= 75/15

X= 5 cm

hence on the map 75miles distance between the two towns is seen as 5 cm

. Jane made a door frame for the house but does not have a tool to measure the angles. How can she check that the corner is 90 degrees?

Answers

She can use any square object around her. Since squares are made up of right angles, any side she chooses can be used to compare the angle of the door. If the square corner fits perfectly, the angle is 90. If the square fits with space, obtuse. If the square doesn’t fit, acute

Answer:

She needs to measure the length of the diagonal and two sides of the frame. Then she needs to find the square of each measure. If the sum of the squares of the two smaller sides equals the square of the diagonal, then she created a right triangle.  

Step-by-step explanation:

edg 2022

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:45.. good luck:)

Step-by-step explanation:

It’s d .... you do length times width times height

PLZZ GIVE BRAINLIEST I NEED IT FOR MY NEXT RANK

Answer:

45

Step-by-step explanation:

If you just take the length (3)

and the width (5)

and multiply them it'll give you 15

then multiply that by the height(3)

and thats how you get 45!

The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If p is the price of the item, then three equivalent forms for the profit are

Standard form: - 2 p^2 + 24p - 54

Factored form: -2(p - 3)(y-9)

Vertex form: -2(p-6)^2 + 18.

Which form is most useful for finding a. The prices that give a profit of zero dollars?

b. The profit when the price is zero?

c. The price that gives the maximum profit?​

Answers

Answer:

Step-by-step explanation:

If the profit of a company made by the company is in the form a quadratic expressions but in the different forms as given in the question.

a). The prices that give a profit of zero dollars.

    Expression that is most useful,

    Factored form: -2(p - 3)(p - 9) = 0

    p = 3, 9

b). The profit when the price is zero .

    Standard form:

    Profit = -2p² + 24p - 54 = 0

    -p² + 12p - 27 = 0

    -p² + 3p + 9p - 27 = 0

    -p(p - 3) + 9(p -3) = 0

     (-p + 9)(p - 3) = 0

     p = 3, 9

c). The price that gives the maximum profit.

   Vertex form: -2(p - 6)² + 18

   Vertex of the given expression → (6, 18)

   Maximum profit will be at p = 6.

   Therefore, profit = -2(6 - 6)² + 18 = 18

Divide. 5892 ÷ 18 in fraction form.

Answers

Answer: 327 1/3

Hope this helps! :)

Answer:

5892 ÷ 18

327 1by 3in mixed fraction

Suppose S is between R and T. Use the Segment Addition Postulate to solve for the variable. Round to three decimal places. RS = 9y − 2 ST = y + 7 RT = 26

Answers

Answer:

The variable y = 2.100

Step-by-step explanation:

Here, we are told to solve for the variable y.

We are asked to use the segment addition postulate. In summary, the postulate is of the opinion that given 3 points X,Y and Z, we can only say that these 3 points are collinear(lie on the same line) if they obey the formula below;

XZ = XY + YZ

Now, we have that S is between R and T.

Mathematically that means;

RT = RS + ST

from the question, we are told that RT = 26, RS = 9y-2 and ST = y + 7

Now, insert these values into the alphabetical equation;

26 = (9y-2) + (y + 7)

26 = 9y-2 + y + 7

26 = 9y+y -2 + 7

26 = 10y + 5

26-5 = 10y

10y = 21

y = 21/10

y = 2.1

Which is y = 2.100 to three decimal places

Select the figure
Two line segments that both have a midpoint at point M.

Answers

Answer:

B

Step-by-step explanation:

a midpoint is halfway through. so if both lines are split in half by point m then it's right. b looks right to me but if it looks different to you, go with your gut

185=-5(10r+3) please help me with this question

Answers

Steps to solve:

185 = -5(10r + 3)

~Distribute right side

185 = -50r - 15

~Add 15 to both sides

200 = -50r

~Divide -50 to both sides

-4 = r

Best of Luck!

Answer:

r=-4

Step-by-step explanation:

185= - 5 10 r + 3

37= 10 r + 3

10r = - 3 - 37

10 r = - 40

MOST BRAINLIEST IF CORRECT

Answers

Answer:

4

Step-by-step explanation:

d=2

[tex] \sqrt{ - 6 + 11(2)} [/tex]

-6+22

16 square rooted

4

the correct answer is 4

I'm working with varibles on both sides. This is math, also algebra 1. The expression is... 8-4a=16-8a I'm so confused on which side to subtract from. I tried doing +8 on both sides. Please help.

Answers

Answer:

a=2

Step-by-step explanation:

You can have "a" on both sides and still get an answer easily. You start off by adding 8a to the right. That makes 8+4a=16. You then subtract 8 from 16 and get 4a=8. Divide by 4 to get your answer. You get a=2

A=2, you add 8a to both sides and subtract 8 and then divide by 4

x=3 (-3x-4)-6x. if x=3

Answers

-31 is the answer because you would do (-3(3)-4) then subtract -6(3).
(-9-4)-18=-31

Given 18 and 3, which of the following could be the third side of a
triangle?
9
12
10
16

Answers

16 because the answer has to be bigger than 18 minus 3

Cuánto es (-12) - 21 =
Explicación del pq da a ese resultado, por favor.​

Answers

Answer:

the answer is -33 srry couldn't explain :(

Answer:

Step-by-step explanation:

(-12)-21= -33. Tienes q sumar porque son del mismo signo y se queda con el signo de negativo por que ambos números son negativos.

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