Which parent function is f(x) = |x|?
A. The quadratic parent function
B. The absolute value parent function
C. The linear parent function
D. An exponential parent function

Answers

Answer 1

Answer:

B. The absolute value parent function

Step-by-step explanation:

[tex]f(x)=|x|[/tex]

Referred to as absolute value, the value inside the bars is measured in terms of its distance from 0. Therefore:

[tex]|0|=0\\|3|=3\\|-3|=3[/tex]

In essence, a negative value within the bars becomes positive, while a positive value remains positive.


Related Questions

30 1 5 miles in 2 3 of an hour. What is the average speed, in miles per hour, of the car?

Answers

Answer:

131.086

Step-by-step explanation:

he inverse of F(C) = 9 5 C + 32 is C(F) = F −

Answers

Answer:

C(F) = 5/9 F − 160/9

Step-by-step explanation:

[tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).

The given function is:

[tex]f(c) = \frac{9}{5} c +32[/tex]

What is the inverse of a function?

If there is a function f(x), then a function g(x) is called the inverse of the function if f(x) is a bijective function and the domain of f(x) should be equal to the range of g(x) while the range of f(x) should be equal to the domain of g(x).

[tex]f(c) = \frac{9}{5} c +32[/tex],

let us suppose [tex]y= \frac{9}{5} c +32[/tex]

[tex]y-32 = \frac{9}{5} c[/tex]

[tex]c = \frac{5}{9} (y-32)[/tex]

[tex]c = \frac{5}{9} (f(c)-32)[/tex]

In order to get the inverse function, interchange c and f(c),

[tex]f(c) = \frac{5}{9} (c-32)[/tex]

Therefore, [tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).

To get more about inverse functions visit:

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WILL GIVE BRANLIEST
5(x + 2) over
2x - 14
x = 10

Answers

Answer:

10 .......................

=5(10+2)/2(10)-14

=60/6

=10

mark ice bear Brainliest

If m∠ABD = 70° and m∠CBD = 30°, then m∠ABC = ?

Answers

Answer:

40° or 100°.

Step-by-step explanation:

If Angle ABD = 70° and Angle CBD = 30° Angle ABC can be 70° + 30° or 70° - 30°.

angle ABC measures 100 degrees.

To find the measure of angle ABC, we can use the fact that the sum of the angles in a triangle is 180 degrees.

In triangle ABC , we have angle ABD measuring 70 degrees and angle CBD measuring 30 degrees.

Since angle ABD and angle CBD are adjacent angles, they add up to form angle ABC.

Therefore, we can calculate angle ABC as follows:

m ∠ ABC = m ∠ ABD + m ∠ CBD

m ∠ ABC = 70° + 30°

m ∠ ABC = 100 degrees

Thus, angle ABC measures 100 degrees.

Learn more about angle here

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1 Find the shaded area for each of the following shapes.
b
d
6.0m
28 mm
14 cm
40 mm
submitted response:​

Answers

Answer:

the answer is 40

Can somebody help?

Answers

Answer:

a its the first one

Step-by-step explanation:

because i did the math and i have dont this question before

Answer:

Angles 1 and 2 are supplementary

Step-by-step explanation:

convert 2.5 years to hours​

Answers

Answer:

21900 hours

Step-by-step explanation:

To change years to hours, you need to multiply it by 8760. So 2.5*8760= 21900

Answer: 21,914.55 hours

I hope my answer helps you! :)

If 1/3 of a bag of fertilizer will cover 1/9 of a lawn, how many bags of fertilizer are needed for the entire lawn?

Answers

Answer:

3 bags

Step-by-step explanation:

9*(1/3 bag) = 3 bags

Could someone help me write and equation and the soultion Will chose brainlest

Answers

Answer:

Step-by-step explanation:

1. Equation: x + 50 = 180 degrees

Solution: x = 180 - 50

               x  = 130 degrees

2. Equation: x + 45 = 90 degrees

Solution: x = 90 - 45

               x = 45 degrees

Answer:

the answer is choose not chose

Step-by-step explanation:

Simplify: (use order of operations)
18 ÷ 2 - (98÷2) + 48
*remember to explain your steps!

Answers

Answer:

8

Step-by-step explanation:

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

The daily production cost, C, for x units is modeled by the equation:
C = 200 – 7x + 0.345x2

Answers

c(x) = 200 - 7x + 0.345x^2

Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.

Range is the set of possible results for c(x), i.e. possible costs.

You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.

You can substitute some values for x to help you, for example:

x y
0 200
1 200 -7 +0.345 = 193.345
2 200 - 14 + .345 (4) = 187.38
3 200 - 21 + .345(9) = 182.105
4 200 - 28 + .345(16) = 177.52
5 200 - 35 + 0.345(25) = 173.625
6 200 - 42 + 0.345(36) = 170.42

10 200 - 70 + 0.345(100) =164.5
11 200 - 77 + 0.345(121) = 164.745


The functions does not have real roots, then the costs never decrease to 0.

The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.

In order to win a jar of candy you must guess how many pieces are in a jar within 30. If there are a total of 500 pieces of candy in the jar, what are the maximum and minimum amounts you could guess in order to win?

Answers

Answer:

530, 470.

Step-by-step explanation:

The maximum amount is 500 + 30 = 530.

The minimum amount is 500 - 30 = 470.

Find g(f(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.

Answers

Answer: 12x^3 + 19x^2 -27x -40

Step-by-step explanation:

Finding f(x) times g(x) is multiply the two polynomials

(4x+5)(3x^2 + 1x -8)    Apply the distributive property twice to solve

4x ( 3x^2 + 1x -8)  

12x^3 + 4x^2 - 32x  

5(3x^2 + 1x -8)  

15x^2 + 5x - 40  

12x^3 + 4x^2 - 32x + 15x^2 + 5x -40   now combine like terms

12x^3 + 19x^2 -27x -40

The function g(f(x)) will be written as g(f(x)) = 12x² + 4x - 27.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 3x² + x - 8 and g(x) = 4x + 5

The function g(f(x)) is written as,

g(f(x)) = 4(3x² + x - 8) + 5

Simplify the function, then we have

g(f(x)) = 4(3x² + x - 8) + 5

g(f(x)) = 12x² + 4x - 32 + 5

g(f(x)) = 12x² + 4x - 27

The capability g(f(x)) will be composed as g(f(x)) = 12x² + 4x - 27.

More about the function link is given below.

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Simplify 3/5 • 3/4 .

Answers

Answer:

9/20 as a faction as a decimal 0.45

Step-by-step explanation:

Simplify 3/5 • 3/4

I hope this help

There were 73 runners from 2 schools on a combined track team. If 31 were
from Edison Elementary, how many were from Lincoln Elementary? Write and
solve an algebraic equation.

Answers

Answer:

s=(73-31)

31+s=73

s= 42

Step-by-step explanation:

In order to get an exact count of the Lincoln Elementary students you just have to subtract 31 from 73 to get 42 students. Therefore we get s to represent the Lincoln students, so the equation would be 31+s=73.

What is -S to the power of three minus 5st, S= -3 and T= -2.

Answers

=-3 to the power 3 - 5(-3(-2)
=-27-5(6)
=-27-30
=-57

Given f(x) = 2x + 5, find x when f(x) = 45

Answers

Step-by-step explanation:

f(x) = 2x + 5 = 45

2x + 5 = 45

2x = 45 - 5

2x = 40

x = 20

Answer:

f(x) = 2x + 5 = 45

2x + 5 = 45

5-25=2x

40=2x

x = 20

There are 4 circles and 20 triangles. What is the simplest ratio of circles to total shapes?

Answers

Answer:

1 :5

Step-by-step explanation:

[tex]4\:circles\\20\:triangles\\\\Total\:shapes = 20+4 =24\\\\Circle : Total\:shape\\4 : 20\\\\Cross-cancel\:common\:factor ; 4\\4\div 4 =1\\20\div 4 =5\\\\= 1 :5[/tex]

Answer:

the answer is 1:5 bc if you do your time table connect it all it would be 1 to 5 sorry if you do this and it takes so long but hope this helped :)

what is the pattern in the sequence 0, 1, 1, 2, 3, 5, 8, 13, 21,

Answers

The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21 and so on.

Write the integer that represents $32 withdraw.​

Answers

Answer: -32

You are taking away from "withdrawal"

Given the Venn diagram below, which statement must be true?

Answers

the Venn diagram below, which statement must be true? If a number is an irrational number, it must also be a rational number. All integers are also whole numbers. All integers are also rational numbers. All natural numbers are irrational numbers.-by-step explanation:

Simplify. 1/3(1−1/4)^2

Answers

Answer:

3

-

16

Step-by-step explanation:

0.56 as a fraction in simplest form.

Answers

Answer:

14/25

Step-by-step explanation:

0.56=56/100=28/50=14/25

1/1 1/4 1/9 what's the pattern

Answers

Answer:

adding a fifth

Step-by-step explanation:

Answer:

adding a fifth

Step-by-step explanation:

duhhhhhhhhhhhh

This question is confusing. Please help me!This question is confusing. Please help me!

Answers

Answer:

(C) 1/2

Step-by-step explanation:

s + 3s = 4st + 3t = 4t

If 4s is 2 more than 4t, then:

4s = 2+ 4t4s - 4t = 24s/4 - 4t/4 = 2/4s - t = 1/2

(C) is the answer

Answer:

C

Step-by-step explanation:

We are given

t + 3t + 2 = s + 3s, that is

4t + 2 = 4s ( subtract 4t from both sides )

2 = 4s - 4t ← factor out 4 from each term

2 = 4(s - t) ← divide both sides by 4 , thus

s - t = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] → C

Use the figure to write and solve an equation for x.

Answers

Answer:

x = 33

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask :)

Help please! I have to finish this by today.

Answers

14.025, 40/3, square root 170, 14%

Calculator, the end

Answer: Answers

Step-by-step explanation:

The first option

use the given tables to evaluate: f(g(1))

Answers

B) f(g(1))= -8 is your answer

Change the repeating decimal to a fraction:
0.376376376...

Answers

Let x = 0.376376376...

Then 1000x = 376.376376376...

So we have

1000x - x = 376.376376376... - 0.376376376...

999x = 376

x = 376/999

Clint and Jim rode their bicycles to Mill Park at an average of 8 mi/hr. It took then 1 hr longer to return home riding at an average of 7 mi/hr on a route that was 4 mi longer than their route. How long were they riding their bicycles? How man miles did they ride each way?

Answers

Answer:

Total time for which they ride = [tex]\bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

Step-by-step explanation:

Average speed = 8 mi/hr

Let the Distance to Mill Park = [tex]D[/tex] mi

Let the time taken = [tex]t[/tex] hours

Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]\Rightarrow D = 8t[/tex] ..... (1)

Now, when average speed = 7 mi/hr

Time taken is 1 hour more, i.e. Time = [tex]t+1[/tex] hours

Distance traveled is 4 mi more, i.e. [tex]D+4[/tex] mi

Using the Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]D+4=7\times (t+1)[/tex]

From equation (1):

[tex]8t+4=7t+7\\\Rightarrow t=3\ hours[/tex]

From equation (1):

[tex]D = 8 \times 3 = 24\ mi[/tex]

Total time for which they ride = [tex]t+t+1 = \bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

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