Answer:
3pf² - 21p²f + 6pf - 42p²
= 3pf² + 6pf - 21p²f - 42p²
= 3pf(f +2) - 21p²(f + 2)
= (3pf - 21p²)(f +0 2)
Answer: (3pf - 21p²)(f + 2)
Step-by-step explanation:
Answer:
6 cups
Step-by-step explanation:
3/9 = 2/w
Cross multiply.
3w = 18
w = 6 cups of water
Answer:
14
Step-by-step explanation:
if you plug in 9 for x in the equation x+5, you get 9+5
9+5=14
Two angle that form a linear pair are supplementary meaning they add to equal 180° (straight line).
make the bigger angle = x
then smaller angle = x - 30°
x + x - 30 = 180
2x - 30 = 180
2x = 180 + 30
2x = 210
x = 210/2
x = 105
The question is to find the smaller angle which was: x - 30
105 - 30 = 75°
Answer:
the vertex is at (2, 8) and the axis of symmetry is x = 2
Step-by-step explanation:
In h(x)=−2x2+8x please use the symbol " ^ " to indicate exponentiation:
h(x)=−2x^2+8x
This is a quadratic equation with coefficients a = -2, b = 8 and c = 0.
The axis of symmetry equation is x = -b/ (2a).
-8
Here, with a = -2 and b = 8, the axis of symmetry is x = --------- = 2
2(-2)
To find the y-coordinate of the vertex, substitute 2 for x in h(x)=−2x^2+8x, obtaining
h(2) = -2(2)^2 + 8(2) = -2(4) + 16 = 8
In summary, the vertex is at (2, 8) and the axis of symmetry is x = 2.
