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hjlf
3 years ago
6

Simplify the following expression:

Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0
Distributive property
a(b+c+d)=ab+ac+ad

-7(3e-2f+4)=-7(3e)-7(-2f)-7(4)=-21e+14f-28

now we have

-21e+14f-24+6e-2
group like terms
-21e+6e+14f-24-2
-15e+14f-26
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A small company that manufactures snowboards uses the relation below to model its profit. In the model,
amm1812

Answer:

a)   x₁ = 14

     x₂ = - 6

b) x = 4

c) P(max ) = 4000000 $

Step-by-step explanation:

To find the axis of symmetry we solve the equation

a) -4x² + 32x + 336 = 0

4x²  - 32x  - 336  = 0       or    x² - 8x - 84 = 0

x₁,₂ = [ -b ± √b² -4ac ]/2a

x₁,₂ = [ 8  ±√(64) + 336 ]/2

x₁,₂ = [ 8  ± √400 ]/2

x₁,₂ =( 8 ± 20 )/2

x₁  = 14

x₂ = -6

a) Axis of symmetry must go through the middle point between the roots

x = 4 is the axis of symmetry

c) P = -4x² + 32x + 336

Taking derivatives on both sides of the equation we get

P´(x) = - 8x + 32  ⇒  P´(x) = 0     - 8x + 32

x = 32/8

x = 4    Company has to sell  4 ( 4000 snowboard)

to get  a profit :

P = - 4*(4)² + 32*(4) + 336

P(max) = -64  + 128 + 336

P(max) = 400           or  400* 10000 =  4000000

     

8 0
3 years ago
Please help me answer this question!!! and explain bc im very stupid and my grades are low. 15 points
mariarad [96]

Answer:

17

Step-by-step explanation:

The top angle is 90 degrees, so I would assume that m<1 is 90 degrees.  Plugging this into the equation gives us 90 = 4y + 22.  Subtract 22 from both sides, and we get 68 = 4y.  Divide both sides by 4, and we get 17 = y.

6 0
3 years ago
the sum of two numbers is 44. the smaller number is five-sixths of the larger number. what are the numbers?​
Sindrei [870]
X+y=44
x=5/6y

x+y=44
5/6y+y=44
11/6y=44
11y=264
y=24
x=5/6y=(5/6)*24=20
Answers: numbers are 20, 24
7 0
3 years ago
What is the pattern in the values as the exponents increase?
nirvana33 [79]

Answer:

"Multiply the previous value by 2"

Step-by-step explanation:

Let's check the first 2 terms for all the answer choices.

1. Add \frac{1}{16} to the previous value:

\frac{1}{32}+\frac{1}{16}=\frac{3}{32}

Doesn't match.

2. Subtract \frac{1}{16} from the previous value:

\frac{1}{32}-\frac{1}{16}=-\frac{1}{32}

Doesn't match.

3. Divide the previous value by 2:

\frac{\frac{1}{32}}{2}\\=\frac{1}{32}*\frac{1}{2}=\frac{1}{64}

Doesn't match.

4. Multiply the previous value by 2:

\frac{1}{32}*2=\frac{2}{32}=\frac{1}{16}

DOES WORK!

Also, doing the same thing with all the other values would give us matching answer. So this choice is right.

7 0
3 years ago
Read 2 more answers
A intercept of 2 and slope of 1/6
Katen [24]

Answer:

what is your question though. if its create an equation, its

y = 1/6x + 2

3 0
3 years ago
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