A paint wholesaler uses the function f(x)=2\sqrt{x}f(x)=2

x



to determine the cost, in dollars, to buy xx gallons of paint. Find and interpret the given function values and determine an appropriate domain for the function.

Round your answers to the nearest cent.


f(0)=f(0)=

, meaning the cost of buying

gallons of paint would be $

. This interpretation

in the context of the problem.

f(70)=f(70)=

, meaning the cost of buying

gallons of paint would be $

. This interpretation

in the context of the problem.

f(58.5)=f(58.5)=

, meaning the cost of buying

gallons of paint would be $

. This interpretation

in the context of the problem.

Based on the observations above, it is clear that an appropriate domain for the function is

.

Answers

Answer 1

Answer:

[tex]f(0) = 0[/tex]

[tex]f(70) = 16.74[/tex]

[tex]f(58.5) = 15.30[/tex]

[tex]x \geq 0[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2\sqrt x[/tex]

Solving (a): f(0)

[tex]f(x) = 2\sqrt x[/tex]

[tex]f(0) = 2 * \sqrt 0[/tex]

[tex]f(0) = 2 * 0[/tex]

[tex]f(0) = 0[/tex]

Interpretation:

This implies that, the cost of 0 paints is $0

Solving (b): f(70)

[tex]f(x) = 2\sqrt x[/tex]

[tex]f(70) = 2 * \sqrt{70[/tex]

[tex]f(70) = 2 * 8.37[/tex]

[tex]f(70) = 16.74[/tex]

Interpretation:

This implies that, the cost of 70 paints is $16.74

Solving (c): f(58.5)

[tex]f(x) = 2\sqrt x[/tex]

[tex]f(58.5) = 2 * \sqrt{58.5[/tex]

[tex]f(58.5) = 2 * 7.65[/tex]

[tex]f(58.5) = 15.30[/tex]

Interpretation:

This implies that, the cost of 58.5 paints is $15.30

Solving (d): The domain

[tex]f(x) = 2\sqrt x[/tex]

Set the radicand x to [tex]\geq 0[/tex]

i.e.

[tex]x \geq 0[/tex]

Hence:

The domain is [tex]x \geq 0[/tex]


Related Questions

help me pls .. will mark brainliest

Answers

Answer:

y=3x-1.5

Step-by-step explanation:

equation is

y=mx+b

m= slope

b= y-intercept

5/3=50/t Solving proportion

Answers

the answer is t = 30

Answer:

T=30

Step-by-step explanation:

5t=3*50

5t=150        

divide 5

t=30

You make an initial deposit of $2,500 in an account that offers 6% simple interest per year. How much will be in the account after 4 years?

Enter the correct answer in the box.

Answers

Answer:

3100

Step-by-step explanation:

3100

The amount of money in the account that he has after 4 years will be $3100.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

A = P + (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

You make a $2,500 initial deposit into an account that pays 6% simple interest per year.

Then the amount of money in the account that he has after 4 years will be given as,

A = 2500 + (2500 x 6 x 4)/100

A = 2500 + 600

A = $3100

The amount of money in the account that he has after 4 years will be $3100.

More about the simple interest link is given below.

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What is the value of x, rounded to one decimal place?

Answers

Answer:

x ≈ 5.9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 2.7² = 6.5²

x² + 7.29 = 42.25 ( subtract 7.29 from both sides )

x² = 34.96 ( take the square root of both sides )

x = [tex]\sqrt{34.96}[/tex] ≈ 5.9 ( to 1 dec. place )


Which of the following relations is a function?
A {(-5,5), (0, 3), (0, -5), (5,4)}
B (3, 4), (3,5), (3, 6), (3,7)
C {(-2, 1), (0, 1), (2,5), (4,5)}
D {(3, 2), (5,4), (5, 6), (7, 8)}

Answers

I believe it would be A or D most likey D though

I need help ASAP ... what’s is the position of A on the number line

Answers

Answer:

[tex]2 \frac{2}{5}[/tex]

Step-by-step explanation:

Each number is split into fifth the a is on the second line so it is [tex]2 \frac{2}{5}[/tex].

Please help me answer this question

Answers

Answer:

LOOK BELOW !!!

Step-by-step explanation:

[tex]7y = 8x - 14[/tex]

get rid of the Y and put in a 6

[tex]7(6) = 8x - 14[/tex]

[tex]7 \times 6 = 42[/tex]

[tex]42 = 8x - 14[/tex]

we need to get rid of the negative 14 so its only 8x.

to get rid of 14 on one side you add it to the other

[tex]42 + 14 = 56[/tex]

[tex]56 = 8x[/tex]

to get X by itself have to divide 8 by both sides

[tex]56 + \div 8 = 7[/tex]

[tex]8x \div 8 = x[/tex]

[tex]x = 7[/tex]

HELP. GET YA MONEY HERE.

Answers

Answer:

so the dude above me can get brainliest :)

Step-by-step explanation:

Do these ratios form a proportion?
16 bikes: 20 cars
36 bikes : 45 cars

Answers

Answer:

I think no. Maybe , it's right but I think the answer is no.

A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish.

Answers

Answer:

The tanks by volume per fish from least to greatest:

Tank C, Tank A, Tank B

Step-by-step explanation:

A pet store has three fish tanks, each holding a different volume of water and a different number of fish.

Order the tanks by volume per fish from least to greatest.

Tank A holds 40 L and 5 fish.

= 40L/5 fishes

= 8 volume per fish

Tank B holds 100 L and 12 fish

= 100L/12 fishes

= 8.3333333333 volume per fish

Tank C holds 180 L and 23 fish.

= 180L /23 fish

= 7.8260869565 volume per fish

The tanks by volume per fish from least to greatest

Tank C, Tank A, Tank B


If 9 x 158 = 1,422, then

Answers

Is there more to the question?

Answer:

1422/ 9 = 158

1422/158 = 9

158*9=1422

Step-by-step explanation:

Carmelita Delpon is a social worker. The annual cost of Carmelita's family
health insurance is $10,019.40. The company pays 66% of the cost. How
much does she pay weekly for medical insurance? *
$125.78
$95.11
$65.51
$35.52

Answers

Answer:

the answer would be 65.51 hope it helps

Step-by-step explanation:

Since i helped so many people, please HELPPPPP NOWWW thnaks

Samuel needs 313 feet of wood to build a fence. The wood comes in lengths of 13 feet.

How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel. How many pieces of wood does Theresa need?

Samuel needs
______pieces of wood.
Theresa needs
_____pieces of wood.

Answers

Answer:

theresa needs 48 pieces and samuel needs 24 pieces

Step-by-step explanation:

the exact answers are 24.07692307692308

48.15384615384615

4.32(3.7+1.65)= ??????

Answers

Answer:

9.67

Step-by-step explanation:

what is the slope of the line that goes through (-5,5) and (5,-7)

Answers

Answer:

-1/5

Step-by-step explanation:

slope formula:

m = y₂ - y₁ / x₂ - x₁

Two points are given:

(-5, -5) (5, -7)

m = -7 - (-5) / 5 - (-5)

m = -2 / 10

m = -1/5

Answer

The answer is 0

here is a picture explanation

Step-by-step explanation:

50°
25°
12x-3
Find the x

Answers

Answer:

X=9

Step-by-step explanation:

We want to first understand that a triangle will always be 180°. Next, we want to look at both where 25° and 12x-3 are. If we look closely we can see that they are the vertical angles of the interior angles of the triangle. To solve this algebraically we have to basically add all the angles (including 12x-3) to solve for x.

Adding all the angles together would look like this: 25+50+12x-3. Next, add up all like terms to get 12x+72=180. You want to get x by itself by subtracting by 72 on both sides to get 12x=108. Isolate x by dividing by 12 on each side which results in x=9

In an examination,40% students passed in Maths only,30% passed in Science only and 10% students failed in both the subjects. If 400 students passed in Science, find the total number of students by drawing a Venn diagram.​

Answers

Answer: 506.1

Step-by-step explanation:

The total number of students is 506.1 because 400 Plus 40% Plus 10% is what answer i got . But notice i said but - if im wrong you can always figure it out yourself

2) There are fourteen shirts in your closet,
seven blue and seven green. You
randomly select one to wear on Monday
and then a different one on Tuesday. You
wear blue shirts both days.

Answers

Answer: 7/14 possibility to get a blue shirt which would be a 50% chance

Step-by-step explanation:

7 blue+7 green = 14 colors

-1 TIMES the ABSOLUTE VALUE of -24 =
will give brainliest !!!!!

Answers

Answer:

-24

Step-by-step explanation:

absolute value of -24 would make it +24

-1 times 24 is -24

Answer: -24

Step-by-step explanation:

The absolute value of a number is how far away the said number is from zero, so -24's would be 24.

24 x -1 = -24

what is the answer to 8/9 - 2/3​

Answers

Answer 2/9 or two out of nine

bro no cap i recommend you learn this this is like the easiest math it worle like if there was out of 1 to 1000000 that right there is like 20 thats kinda low my mqns but really you multiply 2/3 on the numerator and denominater by 3 giving you 8/9 - 6/9 answer 2/9

Someone help me please!

Answers

Answer:

Ok: X = 9

Step-by-step explanation:

We have

3x + (15x + 18) = 180

or

18x+18 = 180

or

18(x+1) = 180

or

x + 1  = 180/18

or

x + 1 = 10

or x = 9.

Answer:

9

Step-by-step explanation:

3x+15x+18=180

-18.             -18

3x+15x=162

18x=162

/18.    /18

x=9

The table shows how much Tracy earns babysitting Saturday nights, depending on how many hours she works

Answers

Answer:

57

Step-by-step explanation:

6 X 9.50

The high school decided to buy new uniforms for the girls' and boys' basketball teams. They plan to buy 35 uniforms with a total cost of $1,235. The store offers discounts based on the number of items the school buys, as shown. What will the discounted price be for the high school?​

Answers

Answer:

1049.75

Step-by-step explanation:

take 15% off of 1235 or 1235 divided by 15%

The discount will be 15% and the discounted price is $1049. 75

What is discount?

A discount is a price reduction you offer a customer. There are also other methods that you can use to attract customers.

Given:

price for 35 uniforms = 1235

as, there is 15% discount for the items 25- 49 items.

So, there is 15% discount for 35 uniforms

Thus, the discounted price is

=1235 (1- 15%)

=1235 (1- 0.15)

=1235 x 0.85

= $1049. 75

Hence, the discounted price is $1049. 75.

Learn more about discount here:

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Kim writes an estimate for the number 0.00436 as 4x10^3. Explain why this cannot be correct

Answers

Answer:

4x10^-3

Step-by-step explanation:

because it was in a deciaml, it has to be negative

The given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].

It is given that Kim writes an estimate for number 0.00436 as 4 × 10 ³.

We have to find whether it is correct or not and why ?

What do you mean by decimal fraction ?

A decimal fraction is a number in which the denominator is a multiple of 10 i.e., 10, 100, 1000. etc.

As per the question ;

The decimal number given is 0.00436.

To represent the number in the form of power of 10 , we need to move the decimal 3 places towards right.

and

We know if we move decimal 3 places towards right we need to multiply the resulted number by 10 to the power -3 , i.e., [tex]10^{-3}[/tex]

So,

The correct estimate will be ;

= 4.36 × [tex]10^{-3}[/tex]

Thus , the given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].

To learn more about decimal to power of 10 click here ;

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Find the value of ​f(​5) for the function.
f(a)=7(a+3)-4
f(5)=

Answers

Answer:

f(5)=52

Step-by-step explanation:

f(a)=7(a+3)-4

f(5)=7(5+3)-4

f(5)=7(8)-4

f(5)=56-4

f(5)=52

Solve each equation. Check your solution.
9= 4a + 13
Oa. -16
Ob. -1
c. 1
Od 5

Answers

Answer:

b. -1

Step-by-step explanation:

9=4a+13

-13    -13

--------------

-4=4a

4a/-4

a=-1

can someone help! i’m giving brainliest to the person person that’s right :)

Answers

Answer:

3.0 is your answer

Step-by-step explanation:

10 minutes per mile. Constant Speed.

If a sample of gold were reduced to the smallest possible particles of pure gold, which statement would most accurately describe the result? If a sample of gold were reduced to the smallest possible particles of pure gold, which statement would most accurately describe the result?

A The sample would be reduced to atoms of gold.

BThe sample would be reduced to molecules of gold.

C The sample would be reduced to protons and neutrons of gold.

D The sample would be reduced to electrons and protons of gold.

Answers

Answer:

The sample would be reduced to atoms of gold.

Reason: All things are made up of atoms.

Answer:

The atoms of gold.

Step-by-step explanation:


Estimate 135 to the nearest integer.

Answers

Answer:

Approx. 12

Step-by-step explanation:

The square root of 135 is 11.61895. Rounded to the nearest whole number (integer), it is 12.

A point has:
Ono shape
no color
no size
no physical characteristics
all of the above

Answers

All of the above I think :)
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