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

Let F(x)=5x-4 And G(x)=x^2-1. Find (g*f)(-1)

Answers

Answer 1

Answer:

D. 80

Step-by-step explanation:

Given:

f(x) = 5x - 4,

g(x) = x² - 1

Required:

(g o f)(-1)

SOLUTION:

(g o f)(-1) = g(f(-1))

Plug in -1 for x into the function, f(x) = 5x - 4:

g(f(-1)) = g(5(-1) - 4)

= g(-5 - 4)

= g(-9)

Plug in -9 for x in the function, g(x) = x² - 1

g(-9) = (-9)² - 1

= 81 - 1

= 80.

Therefore, (g o f)(-1) = g(f(-1)) = 80

D. 80 is the correct answer.


Related Questions

Evaluate each expression if a = -2, b=3, and c = 4.2.

1. a – 2b + 3c

2. 2a + (6 + 3)^2

Answers

Answer:

2.677

Step-by-step explanation:

1) a-2b+3c

(-2)-2(3) +3(4.2)-4-6+12.6-10+12.62.6

2) 2a+(6+3)²

2(-2)+(9)²-4+8177

The time taken to travel between two regional cities is approximately normally distributed with a mean of
70 minutes and a standard deviation of 2 minutes.
The percentage of travel times that are between 66 minutes and 72 minutes is closest to
A. 2.5%
B. 34%
C. 68%
D. 81.5%
E. 95%

Answers

Answer:

D

Step-by-step explanation:

Your auto insurance is $900 per quarter. What should you use as the monthly average? The auto insurance is a fixed expense, but we need to convert to monthly:

Answers

Answer:

$225

Step-by-step explanation:

A quarter is made up of 4 months,

If auto insurance is $900 per quarter, the monthly expense would be $900 / 4 = $225

The midpoint of AB is M(-2,2). If the coordinates of A are (-8, -1), what are
the coordinates of B?

Answers

Answer:

work is attached and shown

The coordinates of the midpoint will be (4,5).

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(-2,2) and the coordinates of A are (-8, -1).

The midpoint will be calculated by using the formula below:-

( -8 + x ) / 2 = -2

( -8 + x ) = -4

x = -4 + 8 = 4

( -1 + y ) / 2 = 2

( -1 + y ) = 4 = 1 + 4 = 5


Therefore, the coordinates of the midpoint will be (4,5).

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Find the area and circumference of each circle with diameter 9m. Keep your answers in terms of pi.​

Answers

I got the answer from google is:

A≈63.62m²

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In forest management, conifer trees that exceed a height to base diameter ratio of 80 to 1 are considered unstable. With this standard, if a tree is 24 m tall, what is its base
diameter?

Answers

Answer:

5

yStep-by-step explanation:

The diameter of the base of the tree is 0.3 meters.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that in forest management, conifer trees that exceed a height to base diameter ratio of 80 to 1 are considered unstable and the height of the tree is 24 meters.

The diameter is calculated as:-

Diameter = 24 / 80

Diameter = 0.3 meters

Hence, the diameter of the tree is 0.3 meters.

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What is the distance between P(-3, 10 ) and Q( 12,-6)

Answers

(15, 16) you’re welcome lol

Solving for 'x' It's Side Splitter Theorem

Answers

Answer:

12-x=x+3

12-3=x+x

9=2x

9/2=x

4.5=x

Answer:

x = 3

Step-by-step explanation:

The segment parallel to the third side and intersecting 2 sides divides those sides proportionally, that is

[tex]\frac{12-x}{x+3}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )

6(x + 3) = 4(12 - x) ← distribute parenthesis on both sides

6x + 18 = 48 - 4x ( add 4x to both sides )

10x + 18 = 48 ( subtract 18 from both sides )

10x = 30 ( divide both sides by 10 )

x = 3

Sarah has $400 in a savings account at the beginning of the summer. She wants to have more than $150 left in her account by the end of the summer. She withdraws $25 per week. How many weeks can she withdraw money from her account and still make her goal? Write an inequality to express the situation

Answers

Answer:

10 weeks; x >= $150

Step-by-step explanation:

400 - 150 = 250

She can only withdraw up to 250.

250 = 25w

250/25 = w

10 = w

10 weeks

I need help Finding the area

Answers

The area is 10 units^2

Right side triangle: A = 1/2bh

A = 1/2(8 units^2)

A = 4 units^2

Left side triangle: A = 1/2bh

A = 1/2(4 units^2)

A = 2 units^2

Square: A = lw

A = 2x2 units^2

A = 4 units^2

Total area: right triangle + left triangle + square

Total area = 10 units^2

[tex]\text{Hello! :)}[/tex]

[tex]\large\boxed{10 \text{ units} ^{2} }[/tex]

[tex]\text{To find the volume, we can divide the shape into 3 different shapes}\\\\\text{A triangle with b = 2 h = 2, a square with s = 2, and a triangle of b = 4 and h = 2}\\\\\text{Therefore:}\\\\[/tex][tex]\text{Area of a triangle: A = 1/2(bh), Area of a square: } A = s^{2} \\ \\A = 1/2(2 * 2)\\A = 1/2(4)\\A = 2 \\\\A = 2^{2} \\A = 4\\\\A = 1/2(4 * 2)\\A = 1/2(8)\\A = 4\\\\\text{Add up the areas:}\\\\2 + 4 + 4 = 10 \text{ units} ^{2}[/tex]

2p²q³×5pq÷10p³q⁴ answer it pls

Answers

p³q⁴

Step-by-step explanation:

given. 2p²q³ × 5pq ÷ 10p³q⁴

multiply. 10p³q⁴ ÷ 10 p³q⁴

Divide. p³q⁴

The expression (x16)(x−5)2 is equivalent to xn. What is the value of n? -160 42 13 6

Answers

Answer:

160

Step-by-step explanation:

Just add lol fjfjfjfjjd

PLEASE HELP WILL GIVE BRAINLIEST -

A, B, and C are the centers of the three circles. Which
line segment is congruent to HF?

Answers

the answer would be DF

The line segment congruent to line HF will be  DF. The correct option is C.

What is congruency?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

Given that there are three triangles and these three triangles are connected to each other at the center's A, B, and C.

The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.

Therefore, the line segment congruent to line HF will be  DF. The correct option is C.

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a roller coaster has four cars each with the same number of seats. these are 21 passengers seated in the roller coaster, but 3 seats are empty. write an equation that can be used to determine the number of seats in each car, s
what would that be as an algebraic expression? ​

Answers

Given:

Number of passengers seated in the roller coaster = 21

Empty seats = 3

Number of cars in roller coaster = 4 (each with the same number of seats)

To find:

An equation that can be used to determine the number of seats in each car.

Solution:

Let s be the number of seats in each car.

Total number of seats in 4 cars = 4s

Using the given information,

Total number of seats = Occupied seated + Empty seats

                                   = 21 + 3

                                   = 24

Now, the required equation is

[tex]4s=24[/tex]

Therefore, the required equation is [tex]4s=24[/tex].

Divide both sides by 4.

[tex]s=\dfrac{24}{4}[/tex]

[tex]s=6[/tex]

Therefore, the number of seats in each car is 6.

Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow. Preimage: (1st one is pre-image. Rest are options.)

Answers

Answer:

  1st option

Step-by-step explanation:

The translated image will be moved to the right of where it starts, with no change in orientation. The first option matches the required motion.

Answer:

The answer is the picture with thetriangle on the right side with the Hypotoneese facing the top left.

What’s the distance between (0,-2),(-5,-1) round to the nearest ten

Answers

Answer:

d = [tex]\sqrt{26}[/tex] or d = 5.1

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(-5-0)^2+(-1-(-2))^2}\\d= \sqrt{(-5)^2+(1)^2}\\d= \sqrt{25+1}\\d= \sqrt{26}[/tex]

A sequence is defined by the formula f(n+1)=f(n)−3. If f(4)=22, what is f(1)? 10 13 31 34

Answers

Answer: 31, hope this helps❤

Step-by-step explanation:

If f(4) = 22, then the value of f(1) is 31.

What is Sequence?

A sequence in mathematics is a ordered set of objects or numbers which are related with something.

For example, 1, 3, 5, ..... is a sequence of odd numbers.

Given a sequence defined as,

f(n + 1) = f(n) - 3

Given,

f(4) = 22

We know from definition,

f(4) = f(3) - 3

So, f(3) = 22 + 3 = 25

Similarly,

f(2) = 25 + 3 = 28

f(1) = 28 + 3 = 31

Hence the correct option is 31.

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Evaluate for x=-7 and y=-3 11x - 4y

Answers

Answer:

Is -65

Step-by-step explanation:

Used a calculator

Step-by-step explanation:

x=-7 so 11x becomes 11 x-7

11 x -7=-77

y=-3 so -4y becomes -4 x -3

-4 x -3=-12

-77-12=-89

I hope it helps!

2. Line t bisects EF at M. If EF = 35, find EM.

Answers

Answer:

EM = 17.5

Step-by-step explanation: the midpoint of 35 is 17.5

The intervals between levels 1 through 9 are equal. Compare the differences in
population from level 1 to 5 and from 6 to 9. Are they equal? Why or why not?

Answers

Answer: no they are not equal because 1 to 5 is + 4 and 6 to 9 is + 3

Please mark me as Brainliest

3. Tyler said this net cannot be a net for
a square prism because not all the laces
are squares
Do you agree with him?
Explain your reasoning,

Answers

Agree..............

3. The expanded form of a number is shown below.
(9x1)+(1x1/10)+(6x1/100)+(3x1/1000) What is the number written
in standard form?
A. 91.63
C. 9.106003
B. 9.163
D. 9.0163

Answers

I believe it’s c because the number written is a standard porabala which it’s standard

How do you find Slope on a graph?

Answers

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope). hopes this helps ()

Which graph represents the solution to the inequality?1/3(9x+27)>x+33

Answers

Answer:

its c

Step-by-step explanation:

Graph D represents the inequality of the given Equation.

What is inequality?

An inequality shows whether one value is less than, greater than, or simply not equal to another value by comparing them.

When two quantities are equal, we use the symbol "=," and when they are not equal, we use the symbol "≠". The first value can either be greater than (>) or less than (<).

Given equation 1/3(9x+27) > x+33

simplify the Equation

multiply both sides by 3 we get,

[1/3(9x+27)] 3 > (x+33)3

9x + 27 > 3x + 99

9x > 3x + 99 -27

9x - 3x > 72

6x > 72

x > 12

the Equation of inequality is x > 12

the line will be more than 12 and in which 12 is not included,

option D follows the required conditions, the empty circle in 12 shows 12 is not included and the line moves towards the positive side.

Hence option D is the correct representation of the given inequality.

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x + 8 = 4
help me to doive this​

Answers

Answer:

-4

Step-by-step explanation:

thats the answer

Answer:

X= -4

Step-by-step explanation:

X+8=4 this is a one step equation first, you subtract 8 on both sides that gives you

x=-4

thats your answer

Reciprocal of - 2 and 1/3

Answers

Answer:

3/7

Step-by-step explanation:

the reciprocal is -3/7

Solve the linear equation by
combining like terms:
32 – 8 + 3x = 7x

Answers

Answer:

x=6

Step-by-step explanation:

I hope this helps you

Answer:

32-8 + 3x = 7x

24 + 3x = 7x

Then subtract the 3x and move it to the other side

24 = 4x

Then divide both side by 4

24/4 = 4x/4

The answer is

x = 6

find the perimeter .

Answers

Answer:

61& 7/20

Step-by-step explanation:

Ifran owns rectangular parcel of land that’s is 3/4 mile long by 5/8 mile wide. What is the ratio of the length to the width of ifrans land? A15/32 B5/6 C6/5 D32/15

Answers

Answer:

Step-by-step explanation:

(3/4)(5/8) = 15/32

last year the number of cars sold was 39000 more than three times the number of trucks sold there were 216,000 cars sold last year write an equation that can be used to find the number of trucks,t, sold last year. answer

Answers

Answer:

25272 to the 10 power

Step-by-step explanation:

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