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Readme [11.4K]
4 years ago
13

In f(x) = a|x - h| + k is a the slope? what's the y-intercept?

Mathematics
1 answer:
Effectus [21]4 years ago
4 0

Answer:

The slope of the function is 'a' for x ≥ h and '- a' for x < h.

The y-intercept is (- ah + k) for x ≥ h and (ah + k) for x < h.

Step-by-step explanation:

Given function is f(x) = a|x - h| + k.

This is an absolute value function, so we can define the function as  

f(x) = a(x - h) + k = ax - ah + k  for x - h ≥ 0 i.e. x ≥ h and

f(x) = a(h - x) + k = -ax + ah + k  for x - h < 0 i.e. x < h.

Now, both the equations are in slope-intercept form and the slope of the function is a for x ≥ h and - a for x < h.

Again, the y-intercept is (- ah + k) for x ≥ h and (ah + k) for x < h. (Answer)

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Need help please with this question. Thank you:)
adell [148]

Answer:

\hat y = 2*10 -4= 16

And the real value for this case is y=14. The residual is defined as:

e= y -\hat y

Replacing we got:

e = 14 -16 = -2

And the best answer would be:

-2

Step-by-step explanation:

For this case we know that the best fit line for the relationship between x and y is given by:

\hat y = 2x-4

And we know that an  individual in the dataset has a score of 10 on the x-variable and a score of  14 on the y-variable. So then we can find the estimated value like this:

\hat y = 2*10 -4= 16

And the real value for this case is y=14. The residual is defined as:

e= y -\hat y

Replacing we got:

e = 14 -16 = -2

And the best answer would be:

-2

5 0
4 years ago
A square stepping stone has a side length of 10 1/4 inches.
Temka [501]

The sides of a square are all the same length.

Area = length x width.

Area = 10 1/4 x 10 1/4 = 105 1/16

7 0
3 years ago
A cylinder has a radius of 6 centimeters and a height of 18 centimeters. A smaller cylinder has linear dimensions that are one-t
vlabodo [156]

Answer:

the larger cyclinder has a surface area which is 9 times the surface area of the smaller cyclinder.

Step-by-step explanation:

Surface area of larger cyclinder

Radius = 6cm

Height = 18cm

A = 2πrh + 2πr^2

= 2*3.14*6*18 + 2*3.14*6^2

= 678.24 + 226.08

= 904.32 cm

Smaller cyclinder (1/3 of the larger cyclinder)

Radius = 2cm

Height = 6cm

A = 2πrh + 2πr^2

= 2*3.14*2*6 + 2*3.14*2^2

= 75.36 + 25.12

= 100.48 cm

Comparing the surface area of the larger cyclinder and the smaller cyclinder

= 904.32 cm / 100.48 cm

= 9

This means, the larger cyclinder has a surface area which is 9 times the surface area of the smaller cyclinder.

5 0
3 years ago
HELP ME PLEASEEEEEEEEEE It takes $\frac{1}{2}$ hours to drive from A-ville to B-town. It takes three-fifths of the time it takes
statuscvo [17]

Answer:

Step-by-step explanation:

It takes 1/2 hours to drive from A-ville to B-town. It takes three-fifths of the time it takes to drive from A-ville to B-town to drive from B-town to C City.

To drive from B-town to C City, it will take:

1/2 * 3/5

= 3/10 hours

5 0
3 years ago
Read 2 more answers
Which of the following explains why f(x)=log4X does not have a y-intercept? Check all that apply.
Volgvan

Answer:

A)There is no power of 4 that equals to 0

C) it’s inverse does not have any x-intercepts

6 0
3 years ago
Read 2 more answers
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