Answer:
A.
Step-by-step explanation:
We have x in exponent, so it is an exponential function.
Exponent is negative, so is is an exponential decay.
Answer:
We will need about 3.3 gallons of red paint.
Step-by-step explanation:
Let
- w = amount of white paint
The amount of red paint is half the amount of white paint.
r = 1/2 w
w = 2r [1]
We need to make a total of 10 gallons. Then,
r + w = 10 [2]
Replacing [1] in [2]
r + (2r) = 10
3r = 10
r = 3.3
We will need about 3.3 gallons of red paint.
Answer:
5/5
Step-by-step explanation:
5/5 because 9/5 equals 1.8 and that's over 1. If you have 5/5 it's 1 because your just saying 5 out of 5.
First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)
To find the zeros, you set the equation equal to 0 and solve for x
x^3+2x^2-8x=0
x(x^2+2x-8)=0
x(x+4)(x-2)=0
x=0 x=-4 x=2
So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)
And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.
Plugging in a -5 gets us -35
-1 gets us 9
1 gets us -5
3 gets us 21
So now you know end behavior, zeroes, and signs of intervals
Hope this helps<span />
If Keith is represented by x, and Joe is three less than Keith, Troy is represented by x-3.
Then, we know that Joe exercises for twice the amount of time as Troy, we multiply the expression for Joe by two.
Keith = x
Troy = x-3
Joe = 2(x-3)