MATHEMATICS HIGH SCHOOL

If 2x2+13x-7=0 then x could be equal to which of the following

Answers

Answer 1

Answer:

Answer:

x = - 7, x = $(1)/(2)$

Step-by-step explanation:

Given

2x² + 13x - 7 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 7 = - 14 and sum = + 13

The factors are + 14 and - 1

Use these factors to split the x- term

2x² + 14x - x - 7 = 0 ( factor the first/second and third/fourth terms )

2x(x + 7) - 1(x + 7) = 0 ← factor out (x + 7) from each term

(x + 7)(2x - 1) = 0

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = $(1)/(2)$

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What is the constant term for 4x-2y+3

Answers

Answer:

Step-by-step explanation:

3 is the constant term.

Constant term is the term without any variables

Answer:

Step-by-step explanation:

The constant number is the number that has no variable and just a number.

How to factor: b^2-6b+8

Answers

This is an easy trinomial. You need to find two numbers that add up to -6 and multiply together to equal 8. Those numbers are -2 and -4. It would simplify to (b-2)(b-4)

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.