For half a year Kyle's phone bill would come up to be $170
Answer:
Using trigonometric ratio:
From the given statement:
and sin < 0
⇒
lies in the 3rd quadrant.
then;
Using trigonometry identities:
Substitute the given values we have;
Since, sin < 0
⇒
now, find 
:
Substitute the given values we have;
Therefore, the exact value of:
(a)
(b)
Answer:
x=0 x=3 x=-2
Step-by-step explanation:
p(x)= 3x^3 – 3x^2– 18x
Factor out the greatest common factor, 3x
p(x)= 3x (x^2 – x– 6)
Factor inside the parentheses
What 2 numbers multiplies to -6 and adds to -1
-3*2 = -6
-3+2 = -1
p(x)= 3x (x-3)(x+2)
Setting the function equal to zero to find the zeros
0 = 3x (x-3)(x+2)
Using the zero product property
3x = 0 x-3 =0 x+2 =0
x=0 x=3 x=-2
Answer:
D) h(3)-h(0)/3
Step-by-step explanation:
The average rate of change is found by subtracting the output values (finding the amount of change in the output values) and dividing it by the change in the input values.
The height in the 3rd second would be given by h(3). The original height would be given by h(0). The change in output values would be given by h(3)-h(0).
The change in input values is found by subtracting the two input values, in this case 3 and 0; 3-0 = 3.
This gives us
h(3)-h(0)/3
Because the denominators are same, you can just add the numerators.
