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Sergio [31]
3 years ago
13

According to the synthetic division below, which of the following statements are true

Mathematics
1 answer:
Art [367]3 years ago
8 0

Answer:

B and D

Step-by-step explanation:

The polynomial x² + 6x - 8 ( from values in first row )

is being evaluated at x = - 5 thus the factor is (x + 5)

If (x + 5) is a factor the remainder = 0

Hence (x + 5) is not a factor since remainder = 12 ≠ 0

When the polynomial is evaluated at x = 5  it's value is 12

The remainder theorem states that f(h) = remainder, hence

f(- 5) = 12 ← remainder

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Which statement correctly describes the end behavior of y = 3x8 + 5x2 +2x - 1
zmey [24]

Answer:

C)  The graph rises to the left and rises to the right.

Step-by-step explanation:

The highest expone tis even and it's coefficient is positive

therefor

The graph rises to the left and rises to the right.

5 0
2 years ago
Please help me answer this <br><br> Explain you’re answer <br><br> Will give braisnlt
lions [1.4K]
B the answer is B - hope this helps you out
7 0
3 years ago
Read 2 more answers
Pearl's Biking Company manufactures and sells bikes. Each bike costs £40 to make, and the company's fixed costs are £5000. In ad
____ [38]

Answer:

R(x) =300·x - 2·x²

C(x) = £5000 + £40 × x

The break even points are 23.47 and 106.53 or 23 and 107 bikes

Step-by-step explanation:

Given that the price function P(x) = 300 -2·x

Cost per bike = £40

The revenue function R(x) is given by  bike price × total number of bikes manufactured and sold

∴ R(x)  = P(x)×x = (300 - 2·x)×x = 300·x - 2·x²

The company's cost function, C(x) is Fixed cost + cost to produce each bike × total number of bikes produced

∴ C(x) = £5000 + £40 × x

The break even point is given by the relation;

Total revenue - total cost = 0

That is, break even point is R(x) - C(x) = 0

300·x - 2·x² - (5000 + 40·x) = 0

-2·x²+260·x-5000 = 0 or 2·x²- 260·x + 5000 = 0

Factorizing, we have;

(x - (65 -5√69))(x - (65 +5√69))

Solving gives x = 23.47 or 106.53

Therefore, the break even points are 23.47 and 106.53.

That is the company is profitable when they produce less than 23 bikes or more than 107 bikes.

3 0
3 years ago
Calculate the percent of change: 50 pounds to 35 pounds.
Vladimir [108]
30 percent change is the answer
7 0
3 years ago
Solve 5(7)5x = 60. Round your answer to the nearest thousandth.<br> X
solong [7]

5(7)5x=60

35*5x=60

175x=60

x=60/175

x= 0.342

Enjoy and your answer is 0.342

5 0
3 years ago
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