Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Expanding by FOIL (First Inside Outside Last)
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define equation</u>
y = -(x - 3)² + 8
<u>Step 2: Rewrite</u>
- Expand [FOIL]: y = -(x² - 6x + 9) + 8
- Distribute -1: y = -x² + 6x - 9 + 8
- Combine like terms: y = -x² + 6x - 1
(a) Without solving the equation we can't determine whether its true or false.
(b) If x = 3
4x + 1 = 2x + 5
4(3) + 1 = 2(3) + 5
12 + 1 = 15 + 5
13 = 20
No, if x = 3, the equation will not be true.
(c) 4x + 1 = 2x + 5
4x - 2x = 5 - 1
2x = 4
x = 4/2
x = 2
This shows that x = 2 makes the equation true.
Answer:
0.10
Step-by-step explanation:
Solution given:
Over here
of means multiplication.
so
0.2 of 0.5=0.2*0.5=0.10
Answer:
2
Step-by-step explanation:
2+2 = 4
4/2 = 2
here's your solution,
A (5, 4) and B (5,-2) = 6 units
E (-2,-1) and F (-2,-5) = 4 units
C (-4,1) and D (1,1) = 5 units
G (3,-5) and H (6,-5) = 3 units