Answer:
The value of the polynomial function at P(1) and P(-2) is 24 and 0 respectively.
Step-by-step explanation:
We are given with the following polynomial function below;

Now, we have to calculate the value of P(x) at x = 1 and x = -2.
For this, we will substitute the value of x in the given polynomial and find it's value.
<u>At x = 1;</u>



P(1) = 30 - 6
P(1) = 24
<u>At x = -2;</u>



P(-2) = 156 - 156
P(-2) = 0
Hence, the value of the polynomial function at P(1) and P(-2) is 24 and 0 respectively.
Answer:
644
Step-by-step explanation:
SA=[2×(5×20 + 5×6 + 20×6)] +
[2×(4×12 + 4×6 + 12×6)] -
[ 2× 12×6]
= [2×(250)]+[2×(144)] - [144]
= 500+288-144
= 644 cm²
Answer:
Step-by-step explanation:
Option A. All the real values of x where x < -1
Procedure
Solve the inequality:
(x -3)(x+1)>0
That happens in two cases.
1) When both factors >0
x-3>0 and x+1>0
x>3 and x >-1
The intersection is x >3
2) When both factors <0
x-3<0 and x+1<0
x<3 and x<-1
the intersection is x<-1.
We have obtained that the function is positive for the intervals x < -1 and x > 3. But in one of those intervals the function is decresing and in the other is increasing.
You can recognize that the function given is a parabola and, because the coefficient of the quadratic term is positive, the parabola opens upward. Then the function is decreasing in the first interval and increasing in the second interval.
I find that turning the fractions into decimals helps in this situation.
9/16 = 0.5625
8/15 = 0.5333
so 9/16 is greater then 8/15