Answer:
Step-by-step explanation:
Part A)
For equation f(x) = 2x² - 5x + 3, to find x intercepts let y=0 then solve x,
2x² - 5x + 3 = 0 -> (2x + 1)(x -3) = 0 , can find x - intercepts from here
x = ____ and ____
Part B)
To find if vertex is a max or min, compare to equation y = ax² + bx +c
if a > 0 then parabola opens up and vertex is a minimum.
if a < 0 then parabola opens down and vertex is a maximum,
thus vertex is a minimum in this problem
to solve vertex set x = -b / 2a = 5 / 2(2) = 5/4
solve for y value
.... vertex is then at point ( 5/4 , y value found)
Part C)
Can plot the intercepts and vertex points
Answer: c) SAS Postulate
<u>Step-by-step explanation:</u>
DP = PC Sides are congruent
∠ADP ≡ ∠BCP Angles are congruent (angles are <u>between</u> the sides)
AD = BC Sides are congruent
To finish the proof, we can state that ΔADP ≡ ΔBCP by the Side-Angle-Side (SAS) Postulate
3x^2-4 should be your answer, if you combine the like terms, the x^2 and the 2x^2, and the +3 and -7
The new pyramid has a volume that is 8 times the volume of the original pyramid