Write each of these statements in the form "if p, then q" in english. [hint: refer to the list of common ways to express conditional statements provided in this section.] a) it is necessary to wash the boss’s car to get promoted. b) winds from the south imply a spring thaw.

a) If you wash boss's car then you will get promoted.

b) If there are winds from the south then there will be the spring thaw.

Explanation:

To convert a general statement in if then.Just analyse the sentence carefully find the cause and the effect in the statement and place the cause in the if and the effect in then.

Here are the converted statements.

If you wash boss's car then you will get promoted.

cause = washing   and effect =promotion

If there are winds from the south then there will be the spring thaw.

cause = winds from south  and effect spring thaw.

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

answer; night terrors;