Step-by-step explanation:
log <base a> b = x
means
a^x = b
So
3^2 = x^2+7x+21
x^2 + 7x + 21 - 9 = 0
x^2 + 7x + 12 = 0
(x+3)(x+4)
x = -3 or -4
Answer: Volume = 97.6
Step-by-step explanation:
Volume of the cone first
V = 1/3 h π r²
<u>h = 0.7</u>
<u>r = 2</u>
V = 1/3 × 0.7 × 2² × 3.14
V = 1/3 × 0.7 × 4 × 3.14
V = 1/3 × 8.792
V = 2.93
Then find the volume of the cylinder if the cone was there.
V = π r² h
<u>r = 2</u>
<u>h = 8 </u>
V = 3.14 × 2² × 8
V = 3.14 × 4 × 8
V = 3.14 × 32
V = 100.48
Now you subtract the volume of the cone from the cylinder.
100.48 - 2.93 = 97.55
Rounded to the nearest tenth is 97.6
Hope this was helpful, I know it is a lot to look at but I tried my best.
Also, can I get brainliest? I worked really hard on this.
An exponential decay function is a function that decreases in quantity. Hope this helps
30x-12-8x+40
22x-12+40
22x +28
Answer:
2x^2- 8x
Step-by-step explanation:
2x(x-4)
distribute; multiply parenthesis by 2 x
2x * x-2x *4
calculate products
2x^2- 8x
