Answer:
x = - 3 is extraneous
Step-by-step explanation:
Given
- 1 = x ( add 1 to both sides )
= x + 1 ( square both sides )
x + 7 = (x + 1)² ← distribute right side
x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )
0 = x² + x - 6 ← in standard form
0 = (x + 3)(x - 2) ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = - 3 :
- 1 =
- 1 = 2 - 1 = 1 ≠ - 3
x = 2 :
- 1 =
- 1 = 3 - 1 = 2
x = 2 is a solution and x = - 3 is extraneous
Answer:
domain:{-2, infinity) range:(negative infinity , positive infinity)
Step-by-step explanation:
Domain is all x points and range is all y points.
<h2>y = 252</h2>
Step-by-step explanation:
To find the value of y when z = 14 we must first find the relationship between them
The statement
y varies directly as z is written as
y = kz
where k is the constant of proportionality
when y = 180
z = 10
180 = 10k
Divide both sides by 10
k = 18
The formula for the variation is
y = 18z
When z = 14
y = 18(14)
<h3>y = 252</h3>
Hope this helps you
Ricky is not necessarily correct, as inductive reasoning does not yield certain truths.
Answer: C 17.55
Explanation:
Popcorn: $7.75
Soda: $5.15
Bag of Candy: $4.65
7.75 + 5.15 = 12.90 + 4.65 = 17.55
Hope this helps! :) (could you give me brainliest I need help ranking up loll)