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3 years ago

Solve for x: −4|x + 5| = −16

1 answer:

3 0

-4 | x + 5 | = -16...divide both sides by -4, eliminating it on the left side
| x + 5 | = -16/-4
| x + 5 | = 4

x + 5 = 4 -(x + 5) = 4
x = 4 - 5 -x - 5 = 4
x = -1 -x = 4 + 5
-x = 9
x = -9

solutions : x = -1 , x = -9

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How would I do the steps to solve this?

allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

$R(p) = -10p^2+800p$

Taking derivative wrt p

$\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\$

Now putting R'(p) = 0

$-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40$

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

$R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000$

The maximum revenue is 16000 dollars (at p = 40)

3 0

3 years ago

Ten times the sum of half a number and 6 is 8

Nookie1986 [14]

10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
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8 0

4 years ago

The sum of the lengths of the two bases of a trapezoid is 22 cm and its area is 66 cm2.

ludmilkaskok [199]

Answer:

h = 6 cm

Step-by-step explanation:

Given that,

The area of a trapezoid, A = 66 cm²

The sum of the lengths of the two bases of a trapezoid is 22 cm.

We need to find the height of the trapezoid.

The area of a trapezium is given by :

$A=\dfrac{1}{2}\times (\text{sum of parallel sides})\times \text{height}$

Substitute the values,

$h=\dfrac{2A}{\text{sum of parallel sides}}\\\\h=\dfrac{2\times 66}{22}\\\\h=6\ cm$

So, the height of the trapezoid 6 cm.

8 0

3 years ago

Five-sevenths minus four-sixths

bekas [8.4K]

5/7-4/6
take the least common multiple of six and seven
which is 42
5*whatever multiple of 7 that gives you 42
5*6=30
plus
4* whatever multiple of six that gives you 42
4*7=28
subtract 28 from 42
your answer 14

8 0

3 years ago

Read 2 more answers

Find the vertices and foci of the hyperbola. y2 − x2 = 16 g

MrRissso [65]

I could help you about the hyperbola.
have fun and feel free posing some questions

7 0

4 years ago