Answer:
You would have 1/6 of your money remaining.
Step-by-step explanation:
Let's write an equation for this.
1 - (2/3 + 1/6)
First, let's multiply the numerator and denominator of 2/3. You get 4/6!
1 - (2/3 + 1/6)
1 - (4/6 + 1/6)
Next, let's add 4/6 and 1/6. You get 5/6!
1 - (4/6 + 1/6)
1 - 5/6
Finally, let's turn 1 into 6/6 and do 6/6 - 5/6!
1 - 5/6
6/6 - 5/6
1/6
You would have 1/6 of your money remaining.
4 + b/2 = 9
b/2 = 9 - 4
b/2 = 5
2(b/2) = 5(2)
b = 10
hope this helps :)
Answer:
f(x) = x^3 - x^2 -2x
Step-by-step explanation:
If x = a is a zero of a polynomial, then x-a is a factor of the polynomial. Given the factors of a polynomial, the polynomial can be obtained by multiplying the factors.
The factors of the given polynomial are;
x - 2
x + 1
x
Multiplying the first two factors;
(x-2)(x+1) = x^2 + x -2x -2
= x^2 -x -2
We finally multiply this result by x to obtain our polynomial;
f(x) = x ( x^2 -x -2)
= x^3 - x^2 -2x
which is a cubic polynomial since it has 3 roots.
Answer:
73 mph
Step-by-step explanation:
The question seems to be incomplete because the model is missing, I found a similar question with the addition of the model, so if we can solve it (see attached image).
We have that the model would be:
y = 43.81 - 0.395 * x
We need to solve for x, if y = 15
Replacing:
15 = 43.81 - 0.395 * x
Solving for x we have:
0.395 * x = 43.81 - 15
0.395 * x = 28.81
x = 28.81 / 0.395
x = 72.9
We are asked to round to the nearest number therefore x = 73.
The car will average 15 miles per gallon at the speed of 73 miles per hour.
