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jek_recluse [69]
3 years ago
8

HELPPP PLEASEEEEEEEEE

Mathematics
1 answer:
Mashutka [201]3 years ago
7 0
For synthetic division:
1) Write the coefficients of the polynomial under the division symbol, in order. Make sure you include coefficients that are 0, so they may not be written out in the polynomial! 
The coefficients are 7, 1, 0 (the coefficient of x), and -4 in that order

2) The divisor is in the form of x - a. The number "a" goes outside the bracket.
a = 5

Since 7, 1, 0, -4 are under the bracket and 5 is outside the bracket, the answer is C.

------

Answer: C
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A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equat
jolli1 [7]

Answer:

  • 7000 type A
  • 6000 type B

Step-by-step explanation:

We assume your equations are intended to be ...

C(x,y)=x^2-2xy+9y^2+3x-87y-6\\R(x,y)=5x+7y

Then the profit equation is ...

P(x,y)=R(x,y)-C(x,y)=5x+7y-x^2+2xy-9y^2-3x+87y+6\\=-x^2+2xy-9y^2+2x+94y+6

The partial derivatives of profit with respect to x and y are zero when profit is maximized.

  ∂P/∂x = 0 = -2x +2y +2

  ∂P/∂y = 0 = 2x -18y +94

Simplifying, these equations are ...

  • y = x -1
  • x -9y = -47

Substituting the first into the second gives ...

  x -9(x -1) = -47

  -8x = -56

  x = 7

  y = 7 -1 = 6

The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.

5 0
4 years ago
A small post office has two open windows. Customers arrive according to a Poisson distribution at the rate of 1 every 3 minutes.
Marina CMI [18]

Answer:

A) probability that an arriving customer will wait in line is 67%

B)the probability that both windows are idle is 0.33

C) the average length of the waiting line is 1.33

D)it would not be possible to offer a reasonable service with only one window

Step-by-step explanation:

arrival rate: δ = 20 x 0.80 = 16 customers per hour

service rate: μ = 2 × (60/5) = 24 customers/hour

Utilization factor is given as;

Φ = δ/μ

So, Φ = 16/24 ≈ 0.67

A) the probability that an arriving customer will wait in line is;

16/24 x 100% ≈ 67%

B) probability that both windows are idle is;

P(x=0) = 1 - 0.67 = 0.33

C) The average number of customers in the post office will be;

L_s = Φ/(1 - Φ)

L_s = 0.67/(1 - 0.67)

L_s = 0.67/0.33

L_s ≈ 2 customers

Thus, the average length of the waiting line is;

L_w = L_s - Φ

L_w = 2 - 0.67

L_w = 1.33

D) this part demands that we find the utilization factor with only one window.

Thus;

arrival rate: δ = 20 x 0.80 = 16 customers per hour

And

service rate: μ = 1 × (60/5) = 12 customers/hour

Thus, Utilization factor = 16/12 = 1.33

Thus, it would not be possible to offer a reasonable service with only one window

3 0
3 years ago
To estimate the mean score μ of those who took the Medical College Admission Test on your campus, you will obtain the scores of
chubhunter [2.5K]
<span>Standard deviation for mean of n objects = (square root n) x s.d. for one 
object. 

So you need (2.8/0.5)^2 or around 32.</span>
4 0
3 years ago
A gallon of orange juice costs $5.50 per gallon. What is the cost per cup of orange juice? What is the cost per fluid ounce of o
I am Lyosha [343]

Answer:

27.5

Step-by-step explanation:

5x5.50=27.5

5 0
3 years ago
Is y = 0(x-4)2 + 3 a quadratic function? Explain?​
Misha Larkins [42]

Answer:

No

Step-by-step explanation:

I hope the picture helps

5 0
3 years ago
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