Find (g•f)(3)
f(x) = |x + 2|
g(x)=-x^2

Answers

Answer 1

Answer:

-25

Step-by-step explanation:

This question is asking for a composite function.

Let's take this step-by-step!

[tex]f(x) = |x + 2|\\g(x) = -x^2[/tex]

(g•f)(3) means [tex]g(f(3))[/tex]

In English, this means we put 3 into f(x), and use the result for g(x).

First let's do f(x):

[tex]f(3) = |3 + 2| = |5| = 5[/tex]

The lines mean "modulus"/"absolute value" which makes any number positive

For example,

[tex]|-3| = 3[/tex]

[tex]f(3) = 5\\g(f(3)) = g(5)\\g(5) = -(5)^2 = -25[/tex]


Related Questions

Which equation is true when x = 5? A 8x = 80 B x + 4 = 9 C 10 ÷ x = 5 D x − 6= 1

Answers

Answer:

B

Step-by-step explanation:

A. 8 * x = 80

8 * 5 = 40. 40 is not 80, so it doesn't work.

B. x + 4 = 9

5 + 4 = 9. This works.

C. 10 ÷ x = 5

10 ÷ 5 = 2. 5 is not 2, so it doesn't work.

D. x - 6 = 1

5 - 6 = -1. 1 is not -1, so it doesn't work.

How to solve problems in different ways and how to do them correct and fast so that way I kneo

Answers

Answer:

[tex]Hi!~I~am~beinggreat78~and~I~will~help~you.\\[/tex]

To solve problems, you first must find the source of the conflict, and attempt to let the situation play out, or use a strategy yourself. To solve math problems, go by PEMDAS.

Parentheses 1stExponents 2ndMultiply 3rdDivide 4thAdd 5thSubtract 6th

With this strategy, PEMDAS, you can solve math problems quickly, and like a pro!


18.) A cylinder and a cone have the same radius and
the same volume. How do the heights compare?

Answers

Answer:

If a cone and a cylinder have the same base and the same height, then the volume of the cone is of the volume of the cylinder. For example, the cylinder and cone shown here both have a base with radius 3 feet and a height of 7 feet. The cylinder has a volume of cubic feet since .

Step-by-step explanation:

Find the sum of -2 + 3i and -1- 2i.

Answers

Answer:

-3+i

Step-by-step explanation:

Collect like terms

-2-1=-3

+3i-2i=i

-3+i

Data from a sample of 576 people in a city was used to estimate the mean monthly bill
paid by city residents for internet service to be $45 with a standard deviation of $0.48.
Enter a number in the box to complete the sentence below.
S
Use the formula M=1.96 x to calculate the margin of error for a 95% confidence
VN
interval, to the nearest hundredth, $
dollars.

Answers

Using the z-distribution, it is found that the margin of error for a 95% confidence interval is of $0.04.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the sample.

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, the values of the parameters are:

[tex]z = 1.96, \sigma = 0.48, n = 576[/tex].

Hence, the margin of error, in dollars, is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{0.48}{\sqrt{576}}[/tex]

M = 0.04.

More can be learned about the z-distribution at https://brainly.com/question/25890103

PLEASE HELP ASAP!! 30 POINTSSSS!!!!! EXPLANATION PLEASEEEEE, IM BEGGING PLEASE DONT JUST PUT AN ANSWER

Solve for 'x' in both of the following problems.

Answers

Answer:

x = 73° , x = 7

Step-by-step explanation:

(1)

the measure of an inscribed angle is half the measure of its intercepted arc.

∠ B = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 128° = 64°

the sum of the 3 angles in Δ ABC = 180°

then

x = 180° - (64 + 43)° = 180° - 107° = 73°

(2)

2 chords iintersecting in a circle, then

the products of the parts of one chord is equal to the product of the parts of the other chord, that is

KH × HI = JH × HG ( substitute values )

10x = 14 × 5 = 70 ( divide both sides by 10 )

x = 7

evaluate F (-1) where f (x) is the piece wise function graphed below

Answers

Check the picture below.

A can of juice is 5cm in diameter and 8cm high. How much juice is in a pack of 6cans

Answers

Answer:

942.84 cm³

Step-by-step explanation:

volume of 1 can = πr²h = 22/7 × 5/2 × 5/2 × 8

= 157.14 cm³

volume of juice in 6 cans = 6 × 157.14 = 942.84cm³

i need an answer in 5 minutes please!

Find a unit vector in the direction of the given vector, w = 6i - 3j​

Answers

Step-by-step explanation:

hope this helps, you can ask any questions for clarification

Simplify (x-2 divided by 2x+6) - (x-3 divided by 5x+15)

Answers

Answer:

3x - 4

---------

10(x + 3)

Step-by-step explanation:

  x -2            x - 3

----------- ( - ) ----------

2x + 6         5x + 15

Multiply both sides by the denominator

 5(x - 2)           2( x - 3)

-----------   ( - )    ----------

5(2)(x + 3)      2(5)(x + 3)

multiply the numbers together

5x - 10          2x - 6

----------- ( - ) ---------

10(x + 3)      10(x + 3)

Subtract the numberator

5x - 10 - (2x - 6)

5x - 10 - 2x + 6

5x - 2x = 3x

-10 + 6 = -4

3x - 4

3x - 4

----------

10(x + 3)

I hope this helps!

i have 57 test to take each takes 8 minutes, so how long does it takes to complete the test?​

Answers

7.6 hours

Step-by-step explanation:

57 x 8 = 456 minutes

456÷60= 7.6

A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?
A. 4/9
B. 1/5
C. 1/2
D. 5/9

Answers

Answer:

1/5 is the answer in my calculations

The answer is 4/9 the odds are 1,3,5,7,9 (5/9) but 3 is the first digit that leaves us with 1,5,7,9 or 4/9

please help! math
(3/7) (-2/5 x 9/11)

Answers

Answer:

-54/385

Step-by-step explanation:

the answer is -54/385 !! hope this helps!!

Find the surface area of the right triangular prism (above) using its net (below).

Answers

Answer:

96 units²

Rectangles

A = bh

4 x 7  = 28

5 x 7 = 35

3 x 7 = 21

Triangles

A = bh/2

(4 x 3)/2 = 6

(4 x 3)/2 = 6

Total SA

28 + 35 + 21 + 6 + 6

96 units²

BRAINLIEST please if this helped!

Multiply: (3x+7)(5x^2-3x+6)

Answers

Answer:

15x^3+26x^2-3x+42

Step-by-step explanation:

(3x+7)(5x^2-3x+6)

15x^3-9x^2+18x+35x^2-21x+42

15x^3-9x^2+35x^2+18x-21x+42

15x^3+26x^2-3x+42

Answer:

15x³ + 26x² - 3x + 42

Step-by-step explanation:

Hi there!

We are given the polynomials 3x+7 and 5x²-3x+6

We want to multiply them together

(3x+7)(5x²-3x+6)

To that, we need to distribute each term of the binomials to each other, and then add them together.

What this means is that we need to multiply 3x by 5x², -3x, and 6, then add them together. Then, multiply 7 by 5x², -3x, and 6. Add those together, and then add everything together.

So, let's first start by multiplying 3x by everything:

3x * 5x² = 15x³

3x * -3x = -9x²

3x * 6 = 18x

Add them together: 15x³ + -9x² + 18x

Now with 7:
7 * 5x²  = 35x²

7 * -3x = -21x

7 * 6 = 42

Add them together: 35x² + -21x + 42

Now add  15x³ + -9x² + 18x and 35x² + -21x + 42 together:
15x³ + -9x² + 18x + 35x² + -21x + 42

Combine like terms:

15x³ + 26x² - 3x + 42

Hope this helps!

jack had m problems to complete during his vacation. (a) how many problems did jack solve per day? (b) suppose jack was solving 15 problems per day. (c) How many problems were assigned for homework

Answers

Jack's problems illustrates algebraic expressions

He solved m/5 problems everyday.75 questions were assigned in total

Problems solved per day

The given parameter is:

Problems = m

From the complete question, we understand that all questions were solved in 5 days.

So, the number of questions solved per day is:

Daily = m/5

Number of problems in the assignment

We have:

Daily = m/5

He solved 15 daily.

So, the equation becomes

m/5 = 15

Multiply both sides by 15

m = 75

Hence, 75 questions were assigned in total

Read more about expressions at:

https://brainly.com/question/723406

Krystal was given $3000 when she turned 2 years old. Her parents invested at a 2% interest rate compounded annually. No deposits or withdrawals were made. Determine how much money Krystal had in the account when she turned 18.

Answers

Answer:

4131.38

Step-by-step explanation:

Since it's compounded annually, and no time needs to be converted, we can use the formula [tex]y=Pe^r^t[/tex], where P is the starting amount, e is Euler's number, r is the rate in decimals, and t is time. The first task would be to find the t. The question set us a timeframe of 2 to 18, so 18-2=16, therefore our t is 16. Plugin the known into the formula and calculate:

[tex]y=3000e^0^.^0^2^*^1^6\\y=3000*e^0^.^3^2\\y=4131.38[/tex]

Select all of the triangles below which are translations of triangle X. ​

Answers

All the triangles below which are translations of triangle X are,

⇒ A, B, D, E, F

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Since, A translation of a triangle is moving it up down or side to-side on the axis, not changing the shape flipping it or the orientation.

Hence, By all the graphs;

All the triangles below which are translations of triangle X are,

⇒ A, B, D, E, F

Thus, All the triangles below which are translations of triangle X are,

⇒ A, B, D, E, F

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ2

Answer:

A, F

Step-by-step explanation:

The only two images that are just translations of triangle X are A and F.

Triangles A and F are obtained by moving triangle X some combination of up, down, left, and right. That is just a translation.

All other triangles shown involve something else in addition to a translation such as a reflection, rotation, or dilation.

Answer: A, F

system of equations using substitution method
3x+4y=-3 x+2y=-1​

Answers

Answer:

[tex]{x,y}={-1,0}[/tex]

Step-by-step explanation:

System of Linear Equations entered :

[1]    3x + 4y = -3

  [2]    x + 2y = -1

Solve by Substitution :

// Solve equation [2] for the variable x

[2]    x = -2y - 1

// Plug this in for variable  x  in equation [1]

  [1]    3•(-2y-1) + 4y = -3

  [1]     - 2y = 0

// Solve equation [1] for the variable  y

  [1]    2y = 0

  [1]    y = 0

// By now we know this much :

   x = -2y-1

   y = 0

// Use the  y  value to solve for  x

   x = -2(0/32765)-1 = -1

Solution :

{x,y} = {-1,0/32765}

Answer:

[tex]\boxed{\sf{x=-1 \quad y=0 \quad (-1,0)}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

3x+4y=-3 and x+2y=-1

[tex]\Longrightarrow: \sf{3x+4y=-3 \quad x=\dfrac{-3-4y}{3} }[/tex]

You have to substitute.

[tex]:\Longrightarrow \sf{\dfrac{-3-4y}{3}+2y=-1}[/tex]

Solve.

[tex]\sf{\dfrac{-3+2y}{3}=-1}[/tex]

[tex]\sf{\dfrac{-3-4y}{3}}[/tex]

y=0

For y=0.

[tex]\Longrightarrow: \sf{x=\dfrac{-3-4*0}{3}}[/tex]

Solve.

PEMDAS stands for:

ParenthesesExponentsMultiplyDivideAddSubtract

-3-4*0/3

Multiply.

4*0=0

-3-0

Add/subtract the numbers from left to right.

-3-0=-3

-3/3

Divide.

-3/3=-1

x=-1

Therefore, the final answer is x=-1 and y=0.

I hope this helps. Let me know if you have any questions.

could anyone give me some quick help with this?

Answers

Answer:

a) 8xy = (4)(2xy)

b) 15x⁴z = (5x²)(3x²z)

c) -12x³y³ = (3y³)(-4x³)

d) 8x-2y = (2)(4x-y)

Step-by-step explanation:

a) 8xy = (4)(2xy) for the right side to equal the left 2xy needs to be multiplied by 4 to equal 8xy

b) 15x⁴z = (5x²)(3x²z) you need to multiply 5x² by 3x²z to equal 15x⁴z.

5*3 = 15 and x²*x² = x⁴ so 15x⁴*z = 15x⁴z

c) -12x³y³ = (3y³)(-4x³) becuase -4*3 = -12 and x³*y³ equal x³y³

d) 8x - 2y = (2)(4x-y) when you multiply 2 by 4x-y it equals 8x-2y

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

ABC + DBC = ABD
(4x-4)+(4x+9) =77
4x-4+4x+9=77
8x=77-5
8x=72
X=72/8
X=9
Then
ABC=4x-4
=4*9-4
= 32
DBC=4x+9
=4*9+9
=45

The average distance between the Sun
and Mars is about 228 million km.
What is this distance in standard form?
Give your answer in kilometres (km)

Answers

Answer:

2.28 * 10^8 km.

Step-by-step explanation:

228,000,000

= 2.28 * 10^8 km.

The area of a circle is 9π m². What is the circumference, in meters? Express answer in terms of π

Answers

Answer:

20.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

9 pi = 2 * pi *r

Divide each side by 2pi

9pi / 2 pi = 2 pi r / 2 pi

4.5 = r

Now we can find area

A = pi r^2

= pi ( 4.5)^2

20.25 pi

this graph shows how much money Jack spent on toys.If Jack purchase 5 toys,how much money will he spend?​

Answers

it depends lol you didn’t show a picture of the graph.

to solve it: you will have to add whatever what was on the chart. for example, on the chart if they toys were $10 each, and he bought 5 toys you would do 10+10+10+10+10=50

7. Given: AD || BC and AD=BC.
B
Prove: AB || DC

Answers

Answer:

Step-by-step explanation:

If a fair die is rolled 5 times, what is the probability, to the nearest thousandth, of getting exactly 3 ones?

Answers

Answer:

0.1317

Step-by-step explanation:

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

5x10x9 Is the correct answer meaning that the answer is 450

Brainliest would be very appriciated

Step-by-step explanation:

EDIT: my bad i read the question wrong, the answer is D:450

sorry for any confusion ;^;

I’m really confused… feedback would be appreciated!

Answers

Answer: 13/34

Step-by-step explanation: In total there are 34 people


There are 13 professors and instructors.

That means that there is a 13/34 chance.

The other person who answered is correct

When you have a loan on a house, commercial property, or land, it is known as what?
Mortgage
Owner’s Manual
Permit
Rent

Answers

Answer:

mortgage

Step-by-step explanation:

all the others just dont fit the question. might be wrong might not be who knows

An architech was designing a rectangular room with a length of 16 feet, a width of 14 feet, and a height of 10 feet. what is the volume, in cubic feet , or the room?

Answers

2240 cubic feet

The formula for volume is length x width x height

16 x 14 x 10 = 2240

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