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Vladimir [108]
4 years ago
13

Factor - 1/6 out of - 1/3x + 5/6y

Mathematics
1 answer:
Gemiola [76]4 years ago
7 0

\bf -\cfrac{1}{3}x\div -\cfrac{1}{6}\implies -\cfrac{1}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}x\div -\cfrac{\stackrel{2}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{1}\implies 2 \\\\\\ \cfrac{5}{6}y\div -\cfrac{1}{6}\implies \cfrac{5}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}y\div -\cfrac{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies -5y \\\\[-0.35em] ~\dotfill

\bf -\cfrac{1}{3}x+\cfrac{5}{6}y\qquad \implies \qquad -\cfrac{1}{6}\left( 2x-5y \right)

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Phone, it can expect to sell 1,000-2x phones.
Andreas93 [3]

Answer:

Step-by-step explanation:

The x intercepts are 0 and

1000 - 2x = 0              given condition

1000 = 2x                   Divide by 2

500 = x

So the two intercepts are 0,0 and 500,0

The intercepts mean that for (0,0) the phone company hasn't charged anything, yet. For 500,0 the phone company can sell a single phone -- not when they cost 500 dollars apiece.

The answer to the B part is completing the square.

r(x) = - 2x^2 + 1000x

r(x) = -2(x^2 - 500x )

1/2 ( 500) = 250

250^2 is what you put inside the bracket's to complete the square.

r(x) =  - 2(x^2 - 500x + 250^2) + 2*250^2

r(x) = -2(x - 250)^2 + 2*62500

r(x) = - 2(x - 250)^2 + 125000

They should sell their phones at 250 dollars a piece. The total revenue is 125000. Your graph shows exactly the same thing.

4 0
3 years ago
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nevsk [136]

Answer:

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8 0
3 years ago
50 POINTS FOR THIS 1 QUESTION I JUST NEED THE ANSWER
Oksana_A [137]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

5 0
3 years ago
Read 2 more answers
Find the output for the following function machine when x = 5
seropon [69]

Answer:

24

Step-by-step explanation:

-2×5=-10

-10+34= 24

8 0
3 years ago
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That is the answer , i looked it up for you my self :)

7 0
4 years ago
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