Answer: b) (x - 2)(x + 1)(x + 3)
<u>Step-by-step explanation:</u>
Look at the graph to find the x-intercepts (where the graph crosses the x-axis).
x = 2 x = -1 and x = -3
Now rearrange each of those equation so they are equal to zero:
x - 2 = 0 x + 1 = 0 and x + 3 = 0
Next, combine them (using multiplication):
(x - 2) (x + 1) (x + 3) = 0
Lastly, evaluate the sign of the a-value (coefficient of the polynomial):
Since the right side of the graph goes to POSITIVE infinity, then the a-value is positive.
Answer:
a. 53.68
b. 53.53
Step-by-step explanation:
a. Step 1: Approximate the value for
:
Since
is close to
(which is 8), this value can be approximated as a number that is less than but very close to 8. I chose 7.9.
The expression becomes 6(7.9)+2π
Step 2: Approximate the value for 2π
Since π is approximately 3.14, 2π is approximately 6.28.
The expression becomes 6(7.9)+6.28
Step 3: Use order of operations
6(7.9)+6.28=47.4+6.28=53.68
b. Step 4: If allowed, use a calculator to check how close your approximation is to the actual value
![6\sqrt{62} +2\pi =53.5272](https://tex.z-dn.net/?f=6%5Csqrt%7B62%7D%20%2B2%5Cpi%20%3D53.5272)
The approximation 53.68 is decently close to the actual value, so no minor math errors were made.
Answer:
![201.06](https://tex.z-dn.net/?f=201.06)
Step-by-step explanation:
V=π
h/3=π·42·12
3≈201.06193
Answer: it's x,w I believe
Step-by-step explanation: I'm pretty sure they both have the same vertex