Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).Use complete sentences to explain how the remainder theorem is used to determine whether your linear binomial is a factor of your polynomial function

Answers

Answer 1

Answer: lets create both equations and :

f(x) = 5x^2 + 1

linear binomial form: x - 4

according to the remainder theorem, x - 4 is a divisor of f(x) if and only if f(4) = 0
f(4) = 5*16 + 1 = 81

hence x - 4 is not a divisor of f(x)

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Sunglass World marks up its designer sunglasses 220%. The manufacturer charged Sunglass World $14.33 for a specific brand and model. What is the selling price of that pair of sunglasses at Sunglass World?

Answers

To answer the question above, multiply the mark up percentage of Sunglass World which is 220% to the manufacturer price, $14.33. The result of the multiplication is $31.526. Thus, the sunglasses will be sold at a price of $31.526 at the store.

The selling price is $31.53

42 decreased by the product of 12 and a number is 6.

Answers

42 - 12x = 6
Solve for 6

12x = 36

x = 3

Factor the trinomial in to 2 sets of parentheses
12a squared minus 13a minus 35

Answers

it can't be factored because there are no 2 numbers that when you multiply you get 35 and when you add you get 13.

What is the answer to 9/8= g+1/2

Answers

9/8=g+1/2
Making g the subject of the formula
g=9/8-1/2
g=9/8-4/8
g=5/8

$9/8=g+1/2$

$g=9/8-1/2$

$g=9/8-4/8$

$g=5/8$

$Decimal Form: 0.625$

G purchased a family income policy at age 40. the policy has a 20-year rider period. if g were to die at age 50, how long would g's family receive an income?

Answers

Rider period is the period which is offered by the insurer to the policy holder in which the policy would be revived and the benefits pertaining to the policy. In the current scenario, the policy has 20 years of rider policy and is taken when the holder is 40 years old. At the age of 50 years, half of the rider period is consumed and thus the family will wait for the remaining half of the rider period to access the benefits.

Therefore, g's family will receive income for 10 years.

Final answer:

If G, who bought a family income policy with a 20 years rider at age 40, dies at age 50, his family would continue to receive income for another 10 years, which is the remaining period of the policy.

Explanation:

The question refers to a family income policy, which is a type of life insurance. In this situation, G bought a policy at the age of 40 which includes a term life insurance policy and a decreasing term rider of 20 years. If G were to die at age 50, the remaining term of the rider would dictate how much longer the family receives income. As G has held the policy for 10 years, there would be another 10 years remaining on the policy. Therefore, G's family would continue to receive an income for an additional 10 years after G's death.

Learn more about Family Income Policy here:

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the scale on the a map is 1 inch = 2 1/2 miles the distance between two streets on the map is 1 3/4 what is the actual distance between these streets