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Bingel [31]
3 years ago
6

Factor the expression. 4x + 12

Mathematics
1 answer:
zzz [600]3 years ago
4 0

Answer:

4(x+3)

Step-by-step explanation:

It looks like in both terms, they are divisible by 4.

Therefore, let us take out the 4.

4*x + 4*3 =

4(x+3)

<em>I hope this helped! :)</em>

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Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that
Murljashka [212]

Answer:

185 units

Step-by-step explanation:

Given,

The revenue function is,

R(x) = 4x

Cost function,

C(x) = 0.01x^2 + 0.3x + 4,

Where,

x = number of units produced.

Thus, profit = revenue - cost

P(x) = 4x - ( 0.01x^2 + 0.3x + 4) = -0.01x^2 + 3.7x - 4

Differentiating with respect to x,

P'(x) = -0.02x + 3.7

Again differentiating with respect to x,

P''(x) = -0.02

For maxima or minima,

P'(x) = 0,

-0.02x + 3.7x =0

-0.02x = -3.7

\implies x = \frac{3.7}{0.02}=185

For x = 185,

P''(x) = negative,

Hence, for maximising the profit 185 units must be produced.

3 0
3 years ago
Evaluate p-(-13) if p = -6.
mina [271]

Answer:

78

Step-by-step explanation:

7 0
3 years ago
Which statements must be true?
rewona [7]
UW=12KL because ku and wl are intersecting points so that means UW=12KL
7 0
3 years ago
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The degree measures of the angles of a triangle are represented by x, 3x and 5x -54.
lora16 [44]

Answer:

x = 26

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

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9x - 54 = 180 ( add 54 to both sides )

9x = 234 ( divide both sides by 9 )

x = 26

7 0
3 years ago
An electric plant consumed 420 tons of coal in 6 weeks. At this
jok3333 [9.3K]

Answer: 700 tons of coal consumed in 10 weeks.

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4 0
3 years ago
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