Answer:
B.
Step-by-step explanation:
y = x^2 - x - 12
y = (x-4)×(x+3) that means x it either 4 or -3
y = x + 3
for x = 4 ➡ y = 3+4 ➡7
for x = -3 ➡ y = -3 + 3➡0
(the answer key is most probably faulty there's no way for y to be 0 in both scenarios)
4) -1/2(y-x)
Multiply -1/2 to y and x
-1/2y+ 1/2x
5) a(8+2b-6)
Multiply a to the equation in parentheses
8a+2ab-6a
Add like terms which are 8a and -6a
2ab+2a
6) -2.5(-3+4n+8)
Multiply-2.5 to the equation in the parentheses
7.5-10n-20
Add like terms which are 7.5 and -20
-10n-12.5
Answer:
C
Step-by-Step explanation:
To answer this question, we let x be the the consulting fee of Iris. With this representation, the value for the hourly rate is equal to 11x. The equation that would allow us to relate the consulting services fee, hourly fee and total value given that she worked for 7 hours would then be equal to,
x + (7)(11x) = 470
Simplifying the left-hand side of the equation,
78x = 470
Dividing the equation by 78 will give us an answer of 6.
Hence,
<em> x = $6 (Consulting services fee)</em>
<em> 11x = 11($6) = $66 (hourly rate)</em>
Answer: B
Work:
Since the general formula of an arithmetic sequence is f(n) = (the first term) + (common difference)*(n-1), you just plug in what was given to you in the problem to that equation. The first term is -20 and the common difference is +15 since the the increase from one term to the next is 15. Doing so produces the equation f(n) = -20 + 15(n-1), which is choice B.
