Step-by-step explanation:
a) Let y = f(x) = 3x - 2x^2
f(-2) = 3(-2) - 2(-2)^2 = p
= -6 - 8
= -14
= p
f(2.5) = 3(2.5) - 2(2.5)^2 = q
= 7.5 - 12.5
= -5
= q
b) graphing
c) From the graph, you should be able to verify the following:
i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1
ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2
iii) the maximum occurs at
f(0.75) = 1.125
d) the equation for the line of symmetry is x = 0.75
Answer:
Three acute angles.
Explanation:
There are always three acute angles in an acute triangle.
Answer:
I’m confused on what you want me to do but that is false
Step-by-step explanation:
Answer:
1 solution.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define equation</u>
9(z + 8) = -9z - 72
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 9: 9x + 72 = -9z - 72
- Add 9z to both sides: 18z + 72 = -72
- Subtract 72 on both sides: 18z = -144
- Divide 18 on both sides: z = -8
Here we see that we will get only 1 solution for <em>z</em>.
Answer:
Original number we'll call "x".
2x + 14 = 17.2
x = 1.6
Step-by-step explanation:
