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3 years ago

Solve the inequality. graph the solution given below 2 < -y/5

Mathematics

1 answer:

user100 [1]3 years ago

6 0

Answer:

$y$

Step-by-step explanation:

$2$

Switch sides

$\frac{-y}{5} >2$

Multiply both sides by 5

$\frac{5(-y)}{5}>2*5$

Simplify

$-y>10$

Multiply both sides by -1 (reverse the inequality)

$(-y)(-1)$

Simplify

$y$

Graph down below.

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3 years ago

A fast-food restaurant has a cost of production C(x)=12x+114 and a revenue function R(x)=6x. When does the company start to turn

LekaFEV [45]

Step-by-step explanation:

Given data

C(x)=12x+114

R(x)=6x.

The company will start to run on profit just when revenue equals the production cost, that is

C(x)=R(x)

equating the two expressions we have

12x+114=6x

solving for x we have

12x-6x+114=0

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7 0

4 years ago

Find the numbers b such that the average value of f(x) = 4 + 10x − 6x2 on the interval [0, b] is equal to 5.

Tju [1.3M]

Answer:

b = (5±√17)/4 ≈ {0.2192, 2.2808}

Step-by-step explanation:

The average on the interval is found from the integral ...

$\frac{1}{b}\int\limits^b_0 {(4+10x-6x^2)} \, dx =\frac{1}{b}(4b+5b^2-2b^3)\\\\=-2b^2+5b+4$

We want the value of this integral to be 5, so we want to find b such that ...

5 = -2b^2 +5b +4

2b^2 -5b +1 = 0

b^2 -5/2b = -1/2

b^2 -5/2b +25/16 = -1/2 +25/16

(b -5/4)^2 = 17/16

b = (5±√17)/4

The average value of f(x) is 5 on the intervals ...

[0, (5-√17)/4] and [0, (5+√17)/4]

6 0

3 years ago