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3 years ago

8

Viola can work no more than 11 hours a week at her part-time job. She gets paid $7.75 per hour. Let p stand for the amount she g

ets paid for h hours. What domain and range are reasonable for this situation

1 answer:

Morgarella [4.7K]3 years ago

4 0

The domain is 11 and the rang is $7.75.

Domain= X- values
Range= differences between the highest & lowest value

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What is the perimeter of rectangle ABCDABCD? (1) The longer side of the rectangle is 2 meters shorter than its diagonal (2) The

Lelechka [254]

Answer:

(1) P=4a+4

(2) P=2a+4 $\sqrt{42}$ a

Step-by-step explanation:

Well, let us call longer side b, shorter side a and diagonal d. The perimeter of a rectangle is 2*(a+b). Let us write this formula as P=2*(a+b)

In (1) it is stated that b=a+2. Hence, the perimeter of the rectangle is P=2*(a+b). In terms of b, let us write (a+2). So P=2*(a+a+2)=4a+4.

In (2) it is stated that d/a=13 or d=13a. From Pythagorean theorem d^2=a^2+b^2. Hence, b^2=168a^2 or b=2 $\sqrt{42}$ a. Finally, P=2*(a+b)=2*(a+2 $\sqrt{42}$ a)=2a+4 $\sqrt{42}$ a

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3 years ago

A randomly chosen subject arrives for a study of exercise and fitness and begins walking on a treadmill at a brisk pace. which o

Flauer [41]

A discrete variable is a type of variable which contains a finite number of values. It usually takes its values from the set of whole numbers.

From the random variable described, the random variable that is descrete is "You measure the maximum heart rate in beats per minute".

This is because, heart rate cannot be partitioned it only takes counting number values. You either have 1 beat per minutes, 2 or 3 and so on beats per minute. But you cannot have 2.5 or 3.8 and so on beats per minute.
So heart rate cannot take decimal or fractional values and hence, it is a discrete random variable.

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3 years ago

Given h(x) = |x+3| -5

statuscvo [17]

Answer:

The parent function f(x) is equal to $f\left(x\right)=\left|x\right|$

The translations is 3 units to the left and 5 units down

Step-by-step explanation:

we have

$h\left(x\right)=\left|x+3\right|-5$

The vertex of the function h(x) is the point (-3,-5)

we know that the parent function f(x) is equal to

$f\left(x\right)=\left|x\right|$

The vertex of the function f(x) is the point (0,0)

so

The rule of the transformation of f(x) to h(x) is equal to

(x,y) -----> (x-3,y-5)

That means ----> The translations is 3 units to the left and 5 units down

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4 years ago

Given the function h(x) = 4x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Ronch [10]

Answer with explanation:

The average rate of change in a function f(x) from x=a to x=b is given by :-

$k=\dfrac{f(b)-f(a)}{b-a}$

For Section A .

The average rate of change in a function h(x)=4x from x=0 to x=1 is given by :-

$k=\dfrac{h(1)-h(0)}{1-0}\\\\=\dfrac{4-0}{1}=4$

For section B .

The average rate of change in a function h(x)=4x from x=2 to x=3 is given by :-

$k=\dfrac{h(3)-h(2)}{3-2}\\\\=\dfrac{12-8}{1}=4$

The average rate of section A is same for section B because the function is a linear function, and the rate of change of a linear function is constant.

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4 years ago

Are the two figures congruent?

geniusboy [140]

Answer:

No, because the reflection of ABC is not congruent to A’B’C’.

Step-by-step explanation:

we know that

The rule of the reflection across the line y=x is equal to

(x,y) -------> (y,x)

so

A(-6,6) -------> A'(6,-6) ----> is ok

B(-3,3) ------> B'(3,-3) ----> is ok

C(-8,2) ------> C'(8,-2) ----> is not ok ( is not a reflection acros the line y=x)

therefore

The triangles are no t congruent, because the reflection of ABC is not congruent to A’B’C’

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3 years ago