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3 years ago

Which parent function is f(x) = |x|?

Mathematics

1 answer:

Levart [38]3 years ago

6 0

Answer:

B. The absolute value parent function

Step-by-step explanation:

$f(x)=|x|$

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

$|0|=0\\|3|=3\\|-3|=3$

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

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david counts the quarters in his change jar. He has 24 more quarters than his brother Rob. if r is the number of quarters Rob ha

denis-greek [22]

Rob has R quarters, and David has R + 24 or 24 more than rob, so together they have 2R+24

8 0

3 years ago

Use the properties of exponents to rewrite y=e^-0.75t in the form of a(1-r)^t

Ivahew [28]

Answer: y = (1 - 0.527)^t

Step-by-step explanation:

y=e^(-0.75t)

y=(e^-0.75)^t

y= 0.47236655^t

1 - 0.47236655 = 0.52763345

y = (1 - 0.527)^t

5 0

2 years ago

Question 20 of 40

frozen [14]

Answer:

Step-by-step explanation:

I guessed also I just took the exam

4 0

3 years ago

Image of question provided

inna [77]

Answer:

To solve this problem, we can use a system of equations.

We know the quadratic expression has the form

$f(t)=at^{2}+bt$

Using points (1,12) and (4,0), we can form the following system to find a and b.

$12=a+b$

$0=16a+4b$

We need to divide the second equation by -4 and sum both equations

$12=a+b\\0=-4a-b$

$12=-3a\\a=\frac{12}{-3}\\ a=-4$

Then, we use this value to find the other variable

$12=a+b\\12=-4+b\\b=12+4\\b=16$

<h3>Therefore, the quadratic function that models the situation is</h3>

$f(t)=-4t^{2} +16t$ or $f(t)=-4t(t-4)$

According to this expression, after 2 seconds, the height is 16 feet.

$f(2)=-4(2)(2-4)=-8(-2)=16$

7 0

3 years ago

You are biking at a speed of 18 miles per hour. You are 3 miles behind your friend who is biking at a speed of

labwork [276]

Answer:

12t -3 = 18t

Step-by-step explanation:

Let

d = your friends distance in miles

t = time in hrs

Your equation:

d - 3 = 18t (1)

Because you are 3 miles behind your friend

Your Friend's equation:

d = 12t (2)

To find the amount of time t it takes for you to catch up with your friend,

Substitute (2) into (1)

d - 3 = 18t

12t - 3 = 18t

Equation to find the amount of time t it takes for you to catch up to your friend is 12t - 3 = 18t

Solving the equation

12t - 3 = 18t

Collect like terms

12t - 18t = 3

-6t = 3

t = 3/-6

= -0.5

t = 1/2 hour

Time can not be negative, therefore it will take 1/2 an hour to catch up with your friend

3 0

3 years ago