he first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically are shown in the table. Which represents the solution(s) of this system of equations?
2 answers:
Question:
Which represents the solution(s) of this system of equations?
Answer:
(-3,-1)
Answer:
The solutions are -3 and -1
Step-by-step explanation:
∵ y = -x² - 2x + 8
∵ y = 2x + 11
∴ -x² - 2x + 8 = 2x + 11
∴ -x² - 2x - 2x + 8 - 11 = 0
∴ -x² - 4x - 3 = 0 ⇒ divide both sides by -1
∴ x² + 4x + 3 = 0
∴ (x + 3)(x + 1) = 0
∴ x + 3 = 0 ⇒ x = -3
∴ x + 1 = 0 ⇒ x = -1
∴ The solutions are -3 and -1
You might be interested in
Answer:
1. 16.62d + 26 = m 2. $152.34
Step-by-step explanation:
For the first part of the question you put the unknown variable multiplied by 16.62. Then add 26 which equals an unknown variable. For the second part, I multiplied 16.62 by 7 and added 26.
Hi there , solution is in the figure attached with...hope it helps u
Answer:
I do not get the question or is there one?
Step-by-step explanation:
Answer:
Yeah.it is right
Step-by-step explanation: