We first want to subtract 19 from both sides and lastly subtract 17 minus 19 and we get our answer.
19 + -2 = 17 is true and correct since if u add 19 plus negative two u can just do 19 minus two and still receive 17.
x = -2.
The answer to the first question is C. 37 mpg
The answer to the second question is C. 128.16
The equation is
.
We are looking for a function with a vertex above the x-axis and a function that opens upward (has coefficient a > 0).
The first function opens downward and intersects the x-axis. The second function has a vertex below the x-axis. The third function satisfies our requirements. The fourth function has a vertex on the x-axis.
We can solve this algebraically with the knowledge that the real solutions of a quadratic are its x-intercepts. If there are no x-intercepts (because it lies entirely above or below the x-axis), then there are no real solutions. This is true when the discriminant
. You can see that from the quadratic formula. This holds true for both answers A and C, so to find the correct one, we remember that when the coefficient a of the
term is positive, the graph opens upwards, so we choose
C.
Answer:
(x - 2)(x² + 2x + 4)
Step-by-step explanation:
A difference of cubes factors in general as
• a³ - b³ = (a - b)(a² + ab + b² )
note 8 = 2³ = 8 ⇒ b = 2 , with a = x
Hence
x³ - 8
= x³ - 2³
= (x - 2)(x² + 2x + 2²) = (x - 2)(x² + 2x + 4)