Zachary is standing in a stadium and has the option of running up a staircase or down a staircase for exercise.

The function f(x)= 1/25(∣4x∣+2x) will determine how many calories Zachary will burn if he runs up x steps. Use a negative value for x if he runs down the stairs. What does the domain represent in this function?

Answers

Answer 1

Answer:

R(All real numbers)

Step-by-step explanation:

We are given that the calories burn in x steps of running is given by

[tex]f(x)=\frac{1}{25}(|4x|+2x)[/tex]

We have to find the domain of this function.

We know that

|x|=[tex]x, x\geq 0[/tex]

    -x, x<0

Therefore, the function

[tex]f(x)=\frac{1}{25}(4x+2x) ,x\geq 0[/tex]

             [tex]\frac{1}{25}(-4x+2x) ,x<0[/tex]

[tex]f(x)=\frac{1}{25}(6x), x\geq 0[/tex]    

            [tex]\frac{1}{25}(-2x), x<0[/tex]

The function is defined for all values of x.

Therefore, the domain of f(x)=All real numbers (R)


Related Questions

You borrow $1000 at 6% simple interest for a year how much do you have to pay back?

Answers

Answer:150

Step-by-step explanation:

So every year the interest will be $1000 * 5 / 100 = $50. That is, after 3 years 3 * $50 = $ 150. Simple interest does not take into account the reduction of the principal but calculates the interest over the same initial amount, in this case $1000. So, the answer is $150, which is the result of $50 times 3.

1 Evaluate the expression for w 1 W +3 = 2​

Answers

Answer:

the answer is w/2+3

Step-by-step explanation:

combine 1/2 and w

Trey needs to make four batches of this brownie recipe.







How much cocoa powder will he need for four batches of brownies?

a
2/3 cup

b
2 2/3 cups

c
3 cups

d
4 2/3 cups

Answers

We need the background info

Look at the coordinate plane below.
Write down coordinates of the points.
PLS HELP! WILL DO BRAINLIST!!!!!!!

Answers

Answer:

A  -4,1   B: 7,3   I: 3,4  K: -3,-6 M: 6,0  N: 3,3  O: -5,5  P: -4,-4  R: -6,-4  T: -7,2

Step-by-step explanation:

look at the graph

Answer:

A (-4,1) B (7,3)  I (3,4) K (-3,-6) M (6,0) N (3,3) O (-5,5) P (-4,-4) R (-6,-4) T (-7,2)

Step-by-step explanation:

A school wants to raise $2,500 to support its music program. If it has met 20% of its goal so far, how much money has it raised?

Answers

Answer:

They have raised $500 so far

Step-by-step explanation:

Multiply $2500 by 20% (aka 0.2) and you get $500

(They need to raise another $2,000 still)

Answer:$500

Step-by-step explanation:

We could translate the world problem,to get an equation.

20% “of” 2,500. The “of” means that you have to multiply. Convert the percent to get 0.20, and multiply it by 2,500.

0.20*2,500=500

Factor the following polynomial
m3 - m2 + 2m - 2
PLEASE HELP ME ASAP with these

Answers

The one in the picture is (2x + 7) (x^2 + 1) The second one is (m - 1) (m^2 + 2)

.....................................

Answers

Answer:

This should help you with the question Click the link down below or copy and paste it

https://softmath.com/algebra-word-problems/marsha-is-changing-her-phone-service-one-data-package

Step-by-step explanation:

Calculate the volume of the cube

Answers

Answer:

volume of cube= edge³...........

Answer: length x width x height

Step-by-step explanation:

Marty's allowance is doubled and is
now between $10 and $15, inclusive.
What amounts could his allowance have
been before the increase? Graph the
solutions.

Answers

10 less than 2 less than 15

5 less than x less than 7.5

6) SALE 90% OFF A original price! What is the sale price of an easel originally priced at $30? $ A) $33.33 B) $3.33 C) $0.33 D) $333.33​

Answers

Answer:

$20.40

Step-by-step explanation:

I LOOKED IT UP

Question 2 (1 point) 1/2x + 9 = 35 Question 2 options:

x=52


x= 61


x= 88


x= 26

Answers

the answer is x=52
1/2 (52) +9 = 35

what is tan 25° to the nearest hundredth​

Answers

Answer:

24

Step-by-step explanation:

lol

20 points! will mark brainliest!
A 103-foot wire is used to support a utility tower. It runs from the tower to the ground and forms a 24° angle with the ground.

Answers

Answer:

Height of Tower = 41.8901 ft

Base to Ground Wire = 94.0905 ft

Step-by-step explanation:

So you want to find the opposing side of the angle, as well as the distance from the base to where the wire is attached to the ground. You would need to use CAH to find the ground, and SOH to find the height. To find the height or opposite, take the Sine of 24°, 0.4067, and times it by your hypoteneuse 103 to get an exact height of 41.8901 ft. Next, use the Cosine of 24°, 0.9135, and times that by your hypoteneuse 103 to get 94.0905 ft.

Here are the equations:

sin(24)=[tex]\frac{h}{103}[/tex]

cos(24)=[tex]\frac{h}{103}[/tex]

The base of the utility tower from the location where wire is attached to the ground is 94.09 feet and the wire attached to the tower at a height of 41.89 feet.

What is right angle triangle property?

In a right angle triangle ratio of adjacent side to the hypotenuse side is equal the cosine angle between them.

[tex]\cos\theta=\dfrac{a}{c}[/tex]

Here, (a) is the adjacent side, (c) is the hypotenuse side and [tex]\theta[/tex] is the angle made between them.

a) The value from the base of the utility tower from the location where wire is attached to the ground

The length of the wire is 103 foot. This is the hypotenuse side of triangle made by the wire, tower, and ground.

The angle between the wire (hypotenuse side) and ground (adjacent side) is 24 degrees. Therefore, the cosine angle can be given as,

[tex]\cos (24^o)=\dfrac{a}{103}\\0.9135\times103=a\\a=94.09\rm ft[/tex]

b) The wire attached to the tower at a height of __ feet.

In a right angle triangle ratio of opposite side to the hypotenuse side is equal the sine angle between them. Let the height of the tower (opposite side) is b ft. Therefore,

[tex]\sin(24^o)=\dfrac{b}{103}\\0.4067\times103=b\\b=41.89\rm ft[/tex]

Thus, the value from the base of the utility tower from the location where wire is attached to the ground is 94.09 feet and the wire attached to the tower at a height of 41.89 feet.

Learn more about the right angle triangle property here;

https://brainly.com/question/22790996

Clare bought a photo for 17 cents and paid with a $5 bill.

Which way of writing the numbers could Clare use to find the change she should receive? Hundreds place, tenths place, or ones place?


5 5 5
-0.17 -0.17 -0.17

Answers

Answer:

hundredths place

Step-by-step explanation:

because after the decimal it starts in tenth place and you want enough room to make it -0.17

Answer:

Step-by-step explanation:

b b

(5, 13) and (10, 10 slope

Answers

Answer:

-0.6

Step-by-step explanation:

The gradient is equal to the change in y divided by change in x. So:

change in x is 10-5=5change in y is 10-13=-3

Therefore, -3/5=-0.6

slope of a line = (y2-y1)/(x2-x1)

25. Philip spun a spinner with six sections 125 times and the results are shown in the
table.

What is the experimental probability of spinning a green?

Answers

Cheecks cheecks cheecks cheecks cheecks

The experimental probability of spinning a green will be 0.10 or 10%.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Philip spun a spinner with six sections 125 times and the results are shown in the table.

Color               Frequency

Blue                       25

Green                     15

Purple                    23

Yellow                    22

Red                         21

Pink                         19

The experimental probability of spinning a green will be given as,

P = 15 / 150

P = 0.10 or 10%

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ5

Help Plz Marking Brainliet

Answers

Answer:

B

Step-by-step explanation:

Sara bought 5 sandwiches for $12.00. How much did she pay for 1 sandwich?

Answers

Answer:

$2.40

Step-by-step explanation:

5 sandwich = $12

1 sandwich = 12 ÷ 5 = $2.40

the answer $2.40 hope this helps :)

so how do you draw 2 degree angle ​

Answers

make it a really small angle
Draw a small angle format

can you help me with my homework​

Answers

ුැේෞඈචොමටඉපගපයිිඅඅේෛෛඑටමවවඈ

A football team gained 9 yards on one play and then lost 22 yards on the next.which answer below shows the sum of integers that can be used to find the overall change in field position?

-9+22
-9+-22
9+-22
9+22

Answers

Answer:

9+-22 because they gained 9yards,then they lost 22 yards so its plus9 yards then take away 22 yards

PLEASE HURRYYY ONLY 5 MINS

Answers

Answer:

It is < (less than sign)

Step-by-step explanation:

Negative numbers when they keep going up, (-11,-12,-13) they actually become less, not greater. Also heres a tip: If you see the arrows in a number line compared to these signs, try to remember them as good help cause sometimes I get confused then remember. (>,<)

FASTTT HURRYYYY PLEASEEEEEE
The pair of figures is similar. Find the missing side.

Answers

The answer is x=12 :)

7(3x + 5) - 11x. Write your answer in factored form.

Answers

Answer:

5(2x+7)

Step-by-step explanation:

First distribute your 7:

21x +35 - 11x

Combine like terms

10x + 35

Then factor out what you can

5 (2x+7)

someone pls help!
Express the number in scientific notation

0.000000000044391

Answers

Answer:

4.4391x10^11

Step-by-step explanation:

An iPhone is on sale for $180. It originally cost $2.00. What percent off is the sale offering?

Answers

Answer:

10%

Step-by-step explanation

200 x 0.1 = 20

200 - 20 = 180


What is the value of b in the equation y = mx + b for the line shown on the
graph above?

Answers

Answer:

-1

Step-by-step explanation:

the line crosses y at -1

y = x-8
y = -2x +1
i need it in graph form

Answers

Here is the graph for those equations

34.8 x 7 what is the answer?

Answers

Answer:

243.6

Step-by-step explanation:

34.8x7=
243.6
Hope this helps have a nice day! :)

A horizontal line separates the solid figure into two rectangular
prisms. Write an expression for the volume of the solid figure.

Answers

Answer:

50 percent for each side

Step-by-step explanation:

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