Under the affordable care act, the individual mandate: a. offers all americans health care directly from government facilities. b. requires all states to offer citizens publicly funded health insurance. c. requires all americans to purchase health insurance. d. offers all americans health insurance policies provided by the federal government.

C. requires all Americans to purchase health insurance.

The Affordable Care Act (ACA), also known as Obamacare, is a federal statute signed into law by President Barack Obama on 2010.

The individual mandate contained in the Act requires all individuals to buy insurance or pay a penalty if not covered by an employer sponsored health plan, Medicaid, Medicare or other insurance programs. The mandate was designed to avoid healthy people delaying insurance until they were sick. This in turn causes premiums to rise, motivating even more people to drop their coverage.

The individual mandate was repealed starting in 2019 via the Tax Cuts and Jobs Act of 2017.

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

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