Ken and carla, an unmarried couple, have been living together for the past three years. they have made numerous decisions together such as splitting their finances, getting a dog, and buying furniture. eventually, without making a conscious decision or commitment, the couple slide into marriage. in this scenario, the couple experiences the friction effectb separation effectc cohabitation effectd inertia effect

C) Cohabitation effect.

Explanation:

In this scenario, the couple experiences the cohabitation effect because in this theory it is said that the chances of getting married increase due to constraints to stay together like the financial investments or social pressure. Also, according to some statistics cohabiting couples are at a higher risk for divorce.

x = 7

step-by-step explanation:

equating the expression for area to the given area

2x² - 7x - 4 = 45 ( subtract 45 from both sides )

2x² - 7x - 49 = 0 ← in standard form

to factor 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 × - 49 = - 98 and sum = - 7

the factors are - 14 and + 7

use these factors to split the middle term

2x² - 14x + 7x - 49 = 0 ( factor the first/second and third/fourth terms )

2x(x - 7) + 7(x - 7) = 0 ← factor out (x - 7)

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

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

2x + 7 = 0 ⇒ 2x = - 7 ⇒ x = -

thus the positive value for x is x = 7

it is a part of john locke's natural rights popular during the age of enlightenment that people had inalienable rights to life, liberty and property. this was reflected by thomas jefferson in his declaration of independence as rights to life,liberty and the pursuit of happiness.

another line in the declaration of independence is that people have certain rights just because they are human. humans are capable of obeying the three natural rights john locke mentioned making them governable by these laws and therefore entitled to these rights as well.