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3 years ago

Find the domain and range X+ | X |

Mathematics

1 answer:

Lesechka [4]3 years ago

4 0

9514 1404 393

Answer:

domain: all real numbers, (-∞, ∞)
range: all non-negative numbers, [0, ∞)

Step-by-step explanation:

There are no values of x for which this expression is undefined. The domain is all real numbers.

The minimum value of this expression is 0. There is no maximum value. The range is all numbers greater than or equal to zero.

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Ruby is deciding between two truck rental companies. Company A charges an initial fee of $70 for the rental plus $2.50 per mile

almond37 [142]

The equation of each function

A(x) = 2.5 x + 70

B(x) = 1.5 x + 90

Company A would be cheaper if Ruby needs to drive 15 miles

Step-by-step explanation:

Ruby is deciding between two truck rental companies

Company A charges an initial fee of $70 for the rental plus $2.50 per mile driven
Company B charges an initial fee of $90 for the rental plus $1.50 per mile driven
A(x) represents the amount company A would charge if Ruby drives x miles, and B(x) represents the amount company B would charge if Ruby drives x miles

Write the equation for each function and determine which company would be cheaper if Ruby needs to drive 15 miles with the rented truck

∵ Company A charges an initial fee of $70 for the rental

∵ It costs $2.5 per mile driven

∵ A(x) represents the amount would charge if Ruby drives x miles

∴ A(x) = 2.5 x + 70

∵ Company B charges an initial fee of $90 for the rental

∵ It costs $1.5 per mile driven

∵ B(x) represents the amount would charge if Ruby drives x miles

∴ B(x) = 1.5 x + 90

The equation of each function

A(x) = 2.5 x + 70

B(x) = 1.5 x + 90

∵ Ruby needs to drive 15 miles with the rented truck

∴ x = 15

- Substitute x by 15 in the two equation to find the cheaper one

∵ A(15) = 2.5(15) + 70

∴ A(15) = 107.5

The amount Company A would charge if Ruby drives 15 miles is $107.5

∵ B(15) = 1.5(15) + 90

∴ B(15) = 112.5

The amount Company B would charge if Ruby drives 15 miles is $112.5

∵ $107.5 is less than $112.5

∴ A(15) < B(15)

∴ The company A would be cheaper

Company A would be cheaper if Ruby needs to drive 15 miles

Learn more:

You can learn more about linear function in brainly.com/question/4326955

#LearnwithBrainly

3 0

2 years ago

A recipe that makes 24 cupcakes calls for 5 1/2 cups of flour. How much flour is needed to make 30 cupcakes?

Reptile [31]

Answer: D hope this helps

5 0

2 years ago

7m -- 4 for m = 8<br> Evaluate the following algebraic expression

arsen [322]

I don’t understand the question
If you mean
7m-4
M=8, this is the solution
7(8)-4
56-4
=52
But if you mean
7m- - 4
As in - + - = +
Then this is your answer
7(8)+4
56+4
=60

7 0

2 years ago

Boof<br>$543.51 is subtotal.

antiseptic1488 [7]

Answer:

The total of the sales price and sales tax is $ 588.35 .

Step-by-step explanation:

As given

$543.51 be the subtotal .

8.25% is the sales tax .

8.25% is written in the decimal form.

$= \frac{8.25}{100}$

= 0.0825

Sales tax price = 0.0825 × 543.51

= $ 44.84 (Approx)

Total of sales price with sales tax = Sale price + Sales tax price

Putting the values in the above

= $543.51 + $44.84

= $ 588.35

Therefore the total of the sales price and sales tax is $ 588.35 .

6 0

2 years ago

Which two fractions have a sum of −7/30 ? Drag and drop the appropriate fraction into each box.

Brrunno [24]

Well you will need two number that are divisible by 30 and add up to -7 so they will have to be a negative.

I would try -2 and -5 which are both divisible by 30 and ad up to -7 so...

-2/30 + -5/30 = -7/30

5 0

2 years ago

Find the domain and range X+ | X |​

Find the domain and range X+ | X |