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1 year ago

Look at the picture

Mathematics

1 answer:

butalik [34]1 year ago

8 0

The interval where the function is increasing is (3, ∞)

<h3>Interval of a function</h3>

Given the rational function shown below

g(x) = ∛x-3

For the function to be a positive function, the value in the square root must be positive such that;

x - 3 = 0

Add 3 to both sides

x = 0 + 3

x = 3

Hence the interval where the function is increasing is (3, ∞)

Learn more on increasing function here: brainly.com/question/1503051

#SPJ1

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Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th

zvonat [6]

The labor fee is $13.55 and each quart of oil is $2.25

Step-by-step explanation:

Let,

x be the amount of each quart of oil

y be the amount of labor fee

According to given statement;

5x+y=24.80 Eqn 1

7x+y=29.30 Eqn 2

Subtracting Eqn 1 from Eqn 2

$(7x+y)-(5x+y)=29.30-24.80\\7x+y-5x-y=4.50\\2x=4.50$

Dividing both sides by 2

$\frac{2x}{2}=\frac{4.50}{2}\\x=2.25$

Putting x=2.25 in Eqn 1

$5(2.25)+y=24.80\\11.25+y=24.80\\y=24.80-11.25\\y=13.55$

The labor fee is $13.55 and each quart of oil is $2.25

Keywords: linear equation, subtraction

Learn more about subtraction at:

#LearnwithBrainly

6 0

3 years ago

If y varies directly with x and y=2 when x=15. Find x when y=8.

andreyandreev [35.5K]

Since the two numbers vary directly, if Y is quadrupled, X will do the same. 2 times 4 is 8, 15 times 4 is 60.

X = 60.

Hope that helps!! :)

8 0

3 years ago

Read 2 more answers

What is the surface area of the cylinder with height 2 yd and radius 3 yd? Round your answer to the nearest thousandth.

olasank [31]

<h2>Given :</h2>

height (h) = 2 yd

radius (r) = 3 yd

<h2>Solution :</h2>

$\boxed{ \mathrm{Surface \: Area = 2\pi r(h +r )}}$

$2 \times 3.14 \times 3 \times (3 + 2)$

$18.84 \times 5$

$\boxed{\mathrm{94.2 \: yd {}^{2} }}$

_____________________________

$\mathrm{ \#TeeNForeveR}$

3 0

2 years ago

Find the 15th term for the arithmetic sequence -3,3,9,...

vredina [299]

Answer:

your adding 6 each time so just find the 15th term

Step-by-step explanation:

-3 + 6= 3 and 3+6 = 9

6 0

2 years ago

1.On Sunday morning, Mrs. Turner made 2 gallons of juice. How many cups of juice did she make?2. Later that night, her family dr

kap26 [50]

Answer:

1. 16 cups

2. 8 pints

Step-by-step explanation:

In this question, we are asked to calculate the amount of cups of juice made from a certain gallon and the amount left in pints after some certain amount of the juice was consumed.

To solve this problem, we need to know the amount of cups present in a gallon of juice.

Mathematically, there are 16 cups present in a gallon. Now since she made two gallons, the amount of cups present is thus 16 * 2 = 32 cups of juice

2. 16 cups was consumed by the family. The amount of cups left is thus 32 - 16 = 16 cups of juice

We need our answer in pints however.

Mathematically, 1 pint is composed of 2 cups.

This means 16 cups would be composed of 16/2 pints = 8 pints

4 0

3 years ago

Read 2 more answers

Look at the picture​

Look at the picture