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2 years ago

For what valuels of x is the equation |4x + 2| = x + 8 TRUE?

Mathematics

1 answer:

dmitriy555 [2]2 years ago

5 0

Answer:

$x=-2\quad \mathrm{or}\quad \:x=2$

Step-by-step explanation:

$|4x + 2| = x + 8 \\\\\mathrm{For\:each\:absolute\:find\:positive\:and\:negative\:intervals}\\\\\mathrm{Solve\:the\:inequality\:for\:each\:interval:}\\\\\mathrm{For\:}x$

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A 60 room hotel is filled to capacity every night at a rate of $40 per room. The management wants to determine if a rate increa

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Answer: to maximize profit the management must continue charging $40 per room because it will obtain a profit of $1,920 better than $1,870 if it rises the rate.

Step-by-step explanation:

Profit without the increase

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costs of day to service = 60 (rooms) * $8 (costs day to service)= $480

Total Profit = $2,400 - $480 = $1,920

Profit with the increase

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2 years ago

What is the solution to the system of equations? y=1 y=-5x+3

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Answer:

y=1

x=2/5

Step-by-step explanation:

1=-5x+3

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x=2/5

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2 years ago

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4. Lydia cut out her initial from a piece of construction paper,

Ratling [72]

Answer:

Option A is correct.

10 square centimeters.

Step-by-step explanation:

Complete Question

The complete Question is attached in the first attached image.

Lydia cut out her initial from a piece of construction paper. How many square centimeters of construction paper are used to make Lydia's initial?

A) 10 square centimeters

B) 11 square centimeters

C) 15 square centimeters

D) 22 square centimeters

Solution

From the second attached image, it is evident that we can split the L-shaped figure into two rectangles of dimensions (3 cm by 1 cm) and (7 cm by 1 cm)

The total area of the figure is thus

(3 × 1) + (7 × 1) = 10 cm²

Hope this Helps!!!

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3 years ago

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Answer:

They need to wash 72 cars

Step-by-step explanation:

2000 - 1640 = 360

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2 years ago

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Step-by-step explanation:

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