Mathematics High School

Let f(x) = x2 and g(x) = x − 3. Evaluate (f ∘ g)(−2).

Answers

Answer 1

F(g(-2))
F(-2-3)
F(-5)
25

Answer 2

Answer: f (g (-2)) = 25

Step-by-step explanation:

Hi, to evaluate (f ∘ g)(−2). Where:

f(x) = x2

g(x) = x − 3

As (f ∘ g)(−2) = f (g (-2))

First we find the value of g (-2) replacing the variable x by the number -2.

g (-2) =-2-3 = -5

Finally , for f(x) = x²,we replace the variable x for the value obtained (-5)

f (g (-2)) = (-5)²= 25

Feel free to ask for more if needed or if you did not understand something.

Related Questions

What is the common term for the set of all points with x- coordinate zero?

A. X axis

B. Y axis

C. Coordinate plane

D. Origin

Answers

I think the correct answer would be option B. The common term for the set of all points with the x-coordinate that is zero is the y-axis. All of the points that is found in the y-axis contains zero as the x-coordinate of the point. So, it should be the y-axis the correct answer.

Answer:

Option B is the correct answer.

Step-by-step explanation:

We have X axis, Y axis and origin in coordinate plane.

Origin is the point for which both x and y coordinate is zero.

X axis is the set of all points with y- coordinate zero.

Y axis is the set of all points with x- coordinate zero.

Here we are asked to find the common term for the set of all points with x- coordinate zero.

That is Y axis

Option B is the correct answer.

Find a cubic function with the given zeros. Square root of five., - Square root of five., -7

Answers

[tex]\bf x= \begin{cases} \pm \sqrt{5}\\ -7 \end{cases}\implies \begin{cases} x=\sqrt{5}\implies &(x-\sqrt{5})=0\\ x=-\sqrt{5}\implies &(x+\sqrt{5})=0\\ x=-7\implies &(x+7)=0 \end{cases} \\\\\\ \stackrel{\textit{difference of squares}}{(x-\sqrt{5})(x+\sqrt{5})}(x+7)=\textit{original polynomial} \\\\\\ (x^2-5)(x+7)=y\implies x^3+7x^2-5x-35=y[/tex]

Janice deposited $750 in a savings account that earns 3.5% simple interest. How much interest has Janice earned by the end of the first year?

A.$776.25
B.$214.29
C.$2,625.00
D.$26.25

Answers

Janice deposited $750 and a savings account earns 3.5% simple interest.
r = 3.5% = 0.035
I = $750 * 0.035
I = $26.25
Answer:
Janice has earned
D ) $26.25

Which of the following phrases would represent this expression?

the quotient of x and 3
the quotient of 3 and x
the product of 3 and x
the difference of x and 3

Answers

i think its (the quotient of 3 and x)
sorry if i got it wrong

Answer:

The quotient of x and 3 is the answer i hope it works

Need help with problem number 10

Answers

#10)
9x - 6 + 58 = 16x - 4
9x + 52 = 16x - 4
9x - 16x = -4 - 52
-7x = -56
x = 8
hope it helps

help please! Note: Use ELIMINATION!!!

Answers

the answers are 24 and -2

Multiplying the second equation by 4/3 and adding it to the first, we get 36=9x and by dividing both sides by 9, we get x=4. Next, we can plug that into the second equation (it doesn't matter which equation) to get 3*4-3y=18=12-3y. Subtracting 12 from both sides, we get 6=-3y and by dividing both sides by -3 we get y=-2

Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.

Can any of the roots have multiplicity?
How can you find a function that has these roots?

Answers

Work backwards to find the factors from the roots, then multiply the factors together.y=x3−10x2+31x−30

Answer:

The roots cannot have multiplicity because the function is specified as cubic and 3 roots are given.

To find the function, write f(x) = (x – 2)(x – 3)(x – 5), and simplify the right side.

Idk how to do this please help me

Answers

HIZ = 36
HIJ = 176
ZIJ = x

HIJ is the whole thing, and HIZ is a part, therefore

36 + x = 176

176 - 36 = 140
x = 140
ZIJ = 140 degrees

hope this helps

I need help please I’m lost

Answers

Thanks for the equation:

3, 1, 2

3 is the most likely because the chances are out of 2 classes instead of 2, which is one class.

1 is the number of people is also included in 2.

Hope this helps!

Use a calculator to round the nearest hundredth

Answers

= (-2 - 3.87) / 2
= -5.87 / 2
= - 2.94
hope it helps

What is the value of x ?

Answers

2x-14=x+2
x=16
Your welcome

what is the value of x

Jason's age is 1/2 of his brother's age. His brother's age can be represented by the expression 12a - 9. Write an expression that can be used to represent the sum of their ages.
A) 12a - 5.5
B) 18a - 13.5
C) 18a + 21
D) (12a-9)/2

Answers

Answer:

the answer is B)18a-13.5

Step-by-step explanation:

Whats The Number name for 43,080,700

Answers

forty-three million, eighty thousand, seven hundred!! hope this helps

While in europe, if you drive 113 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is 41.0 mi/gal ? assume that 1euro=1.26dollars?

Answers

113 x 7 = 791 km per week
791 km ~ 491.5 miles

491.5/41 = 12 gallons used

1 galloon ~ 3.8 liters

45.6 liters used

45.6 x 1.10 euros = 50.16 Euros used or $63.20 dollars used.

Answer:

[tex]\$63.04[/tex]

Step-by-step explanation:

Distance traveled in [tex]1[/tex] day = [tex]113 km[/tex]

Distance traveled in [tex]1[/tex] week = [tex]113*7 = 791 km[/tex]

Mileage of car = [tex]41.0 mi/gal = \frac{41*1.60}{3.78} = 17.35 km/liter[/tex]

Total gas consumed = [tex]\frac{791}{17.35} = 45.49liter[/tex]

Cost of [tex]1liter[/tex] gas = [tex]1.10 euros = 1.10*1.26 = \$1.386[/tex]

Money spent on gas in a week = [tex]45.49*1.386 = \$63.04[/tex]

a machine manufactures wheels with a diameter of 70cm.It is acceptable for the diameter of a wheel to be withen 0.02 cm of this value .write and sopve an absolute value equation to find the minimum acceptable diameters

Answers

The ranges of the diameter of the wheels that the company manufactures can be calculated by adding or subtracting the given tolerance from the desired diameter. The lower limit is calculated by subtracting the allowance while the upper limit is obtained by adding the allowance.
lower limit = 70 cm - 0.02 cm = 6.98 cm
upper limit = 70 cm + 0.02 cm = 70.02 cm
The absolute value equation for this scenario is,
0.02 = I70 - xI

What is the intersection of the sets A = {2, 3, 5, 7, 11} and B = {5, 11, 13, 15, 17}?

Answers

The intersection of sets is composed of the common elements.

The given sets have two common elements: 2 and 5.

{2;3;5;7}∩{2;5;11;13}={2;5}

Answer:

A ∩ B = {5, 11}

Step-by-step explanation:

Hello, the intersection of two sets A and B (A B), is the set that contains all elements of A that also belong to B , I mean , the common elements

Step 1

Let

A = {2, 3, 5, 7, 11}

B = {5, 11, 13, 15, 17}

you have to verify the common elements, first order the data from least to greatest to make it easier, here they are already sorted

A ∩ B = {5, 11}

Have a great day

What is the sum of the polynomials

A. 4m + 3B. 4m – 24n + 3C. 30m – 5D. 30m – 24n – 5

Answers

Answer:

B its 100% this one i promise

Step-by-step explanation:

The sum of the polynomials (17m - 12n - 1) and (4 - 13m - 12n) will be

⇒ 4m - 24n + 3

Option B is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The polynomials are,

⇒ (17m - 12n - 1) and (4 - 13m - 12n)

Now, Sum of the polynomial is find as;

The polynomials are,

⇒ (17m - 12n - 1) and (4 - 13m - 12n)

It can be written as;

The polynomials are,

⇒ 17m - 12n - 1

- 13m - 12n + 4

---------------------------

4m - 24n + 3

---------------------------

Thus, (17m - 12n - 1) + (4 - 13m - 12n) = 4m - 24n + 3

Therefore, The sum of the polynomials (17m - 12n - 1) and (4 - 13m - 12n) will be

⇒ 4m - 24n + 3

Option B is true.

Learn more about the polynomial visit:

https://brainly.com/question/26147255

#SPJ5

(01.02) kim earns $30 for babysitting on friday nights. she makes an average of $1.25 in tips per hour. write the function of kim's earnings, and solve for how much she would make after 3 hours. (1 point) y = 1.25x + 30; $33.75 y = 30x + 1.25; $43.75 y = 30x + 1.25; $91.25 y = 1.25x + 30; $31.25

Answers

y = 1.25x + 30 <== ur function

for 3 hrs.....x = 3
y = 1.25(3) + 30
y = 3.75 + 30
y = 33.75 <=== for 3 hrs

One half of a number is 8 less than the number itself

Answers

The question is a little vague but I believe the answer would be 16. 16 divided in half is 8. And that is 8 less than 16. < Not the answer for this question.

I didn't understand the question until Maria answered, she is completely right! Sorry for the misunderstanding.

1/2 of x is 2/3 of x minus 8

(1/2)x = (2/3)x -8

clear fraction by multiplying by 6

3x = 4x -48

x = 48

When invested at an annual rate of 5%, an amount earned Php 15,000.00 of simple interest in 2 years. How much money was initially invested?

Answers

Given:
r = 8% = 0.05, simple interest rate
t = 2 years, duration
A = 15,000.00, value after 2 years

Let P = principal, the amount invested.
Then
P(1+ 2*0.05) = 15000
P = 15000/1.1 = 13636.36

Answer: Php 13,636.36

If f is a function defined by the equation yequals=f(x) then x is called the

Answers

X is the independent variable (think 'input variable'); all of the values of x which are valid (ones that don't create division by zero or square root of a negative value) is the domain.

At the movie theatre, child admission is $5.50 and adult admission is $9.40 . On Monday, four times as many adult tickets as child tickets were sold, for a total sales of $1379.20 . How many child tickets were sold that day?

Answers

5.50c + 9.40a = 1379.20
a = 4c

5.50c + 9.40(4c) = 1379.20
5.50c + 37.6c = 1379.20
43.1c = 1379.20
c = 1379.20 / 43.10
c = 32 <=== 32 kids tickets

a = 4c
a = 4(32)
a = 128 <=== 128 adult tickets

The function f(x) = 800(1.09)3x shows the growth due to interest that Jim earns on an investment. The steps to calculate an equivalent function are shown below: [Step 1] f(x) = 800(1.09)3x
[Step 2] f(x) = 800(1.093)x
[Step 3] f(x) = 800(1.09 ⋅ 3)x
[Step 4] f(x) = 800(3.27)x Which of the following is the first incorrect step?

A. There is no mistake in the work.
B. Step 1
C. Step 2
D. Step 3
E. Step 4

Answers

Answer:

the answer is Step 3

Step-by-step explanation:

i took the test

What is the value of x?

Answers

(n - 2 ) 180 = sum of interior angles

n = 6, because it is the number of angles the polygon has

(6-2) 180 = 720

720 - 120 - 100 - 128 - 133 - 112 = x

x = 127

hope this helps

the sum of the interior angles equal 720

112 + 133 +128 +100 + 120 = 593

720 - 593 = 127

x = 127 degrees

A jet plane, flying 120 mph faster than a propeller plane, travels 3520 miles in 3 hours less time than the propeller plane takes to fly the same distance. how fast does each plane fly?

Answers

Final answer:

The propeller plane flies at a speed of 880 mph, and the jet plane flies at a speed of 1000 mph.

Explanation:

Let the speed of the propeller plane be represented by x mph. Since the jet plane is flying 120 mph faster, its speed can be represented as x + 120 mph.

We know that the distance traveled by both planes is the same, so we can set up the equation:

x * t = (x + 120) * (t - 3)

where t is the time taken by the propeller plane.

Simplifying the equation, we get:

x * t = xt + 120t - 3x - 360

Rearranging the terms, we have:

120t - 3x = 360

Since we have two variables, we need another equation. We can use the formula for distance, which is given by:

Distance = Speed * Time

For the propeller plane, we have:

D = x * t

For the jet plane, we have:

D = (x + 120) * (t - 3)

Since the distance is the same, we can equate these two equations:

x * t = (x + 120) * (t - 3)

x * t = xt + 120t - 3x - 360

Rearranging the terms, we get:

120t - 3x = 360

Solving the system of equations, we find that x = 880 mph and x + 120 = 1000 mph.

This is what I've done so far but does anyone know what I do next or did I make a mistake

Answers

remmeber, you can do anything to an equation as long as you do it to both sides

for inequalities, if you multiply or divide both sides by a negive, flip the direction of the inequality sign

pemdas always applies
but also the commutative property and assiociative property

so
2(5y+13)-6<20
add 6 both sides
2(5y+13)<26
divide both sides by 2 (easier that distributing)
5y+13<13
minus 13 both sides
5y<0
y<0 is the solution

What is the measure of angle S?

Answers

132 + 56 + 79 = 267

360 - 267 = 93

answer is 93 degrees

A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s average speed in miles per hour? Show your work.

Answers

60 seconds per minute, 60 minutes per hour

60*60 = 3600 seconds per hour

5280 feet per mile

300/5280 = 0.0568 of a mile

2.92/3600 = 0.000811 of an hour

0.0568 / 0.000811 = 70.028 miles per hour

round to 70 miles per hour

please answer both questions thank you.

Answers

first one is 36 units. second one is 40yrds squared

Identify the property that is demonstrated below:

ab = ba

a. commutative property of addition
b.commutative property of multiplication
c. identity property of multiplication
d.associative property of multiplication

Answers

Commutative property of multiplication is the answer that you're looking for.

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