Answer:
29.71
Step-by-step explanation:
8+6+5pi
14+15.71
29.71
15.71 is approx 5pi
Answer:
Proof below.
Step-by-step explanation:
<u>Quadratic Formula</u>

<u>Given quadratic equation</u>:

<u>Define the variables</u>:
<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:







Therefore, the exact solutions to the given <u>quadratic equation</u> are:

Learn more about the quadratic formula here:
brainly.com/question/28105589
brainly.com/question/27953354
Answer:
D. x2 + x - 20.
Step-by-step explanation:
(x – 4)(x + 5).
= x(x + 5) -4(x + 5).
= x2 + 5x – 4x – 20.
= x2 + x - 20.
Answer:
- y= -12
- x = 7
- q = -1
- x = 24
Step-by-step explanation:
1. ..............................................
- 6(y + 7) = 2(y - 3)
- 6y + 42 = 2y - 6
- 6y - 2y = -6 - 42
- 4y = -48
- y = -12
2...............................................
- 3x + 2(x - 5) = 25
- 3x + 2x - 10 = 25
- 5x = 25 + 10
- 5x = 35
- x = 7
3 . ..............................................
- 10q + 3q + 5 = 2(q - 3)
- 13q + 5 = 2q - 6
- 13q - 2q = -6 - 5
- 11q = -11
- q = -1
4. ..............................................
- 1/3(x + 6) = 2/3(x - 9)
- 3*1/3(x+6) = 3*2/3(x - 9)
- x + 6 = 2(x - 9)
- x + 6 = 2x - 18
- 2x - x = 6 + 18
- x = 24
Answer:
Step-by-step explanation:
f(x) = (x + 3)(x - 2) has two zeros: One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).
The axis of symmetry is a vertical line located halfway between -3 and 2:
x = -1/2.
The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).
With this information we can eliminate the last two possible answers. Note that the x-intercepts of the first graph are -3 and 2, Thus, the first graph is the correct one.