Answer:
The end result is -1/(x + 1)
Step-by-step explanation:
In order to find the answer to this, we first need to factor the denominator. Since it is a quadratic, we try to find number that multiply to the last term (8) and add to the middle term (9). In this case, the numbers 8 and 1 would work. This allows us to use those numbers in parenthesis along with x as a fully factored form.
x^2 + 9x + 8 = (x + 1)(x + 8)
Now that we have this factored we can take the original equation and factor a -1 out of the top.
(-1)(x + 8)/(x + 1)(x + 8)
Since there is an (x + 8) on the top and bottom, we can cancel those.
-1/(x + 1)
Answer:
2,100 miles
Step-by-step explanation:
<u>Step 1-</u> Find the miles the car can travel per gallon
630 miles/ 15 gallons=42 miles per gallon
<u>Step 2-</u> Multiply the miles per gallon by the number of gallons being used
42x50=2,100 miles
Answer:
-1/3
Step-by-step explanation:
Use the formula, (y2 - y1)/(x2 - x1). In this case, there is a negative slope.
Start from point, (1, 9) and go to point (4, 8).
Use the formula:
(y2 - y1)/(x2 - x1)
Y2 = 8
Y1 = 4
X2 = 9
X1 = 1
(8 - 9)/(4 - 1) = -1/3
Therefore, the slope is -1/3
Given:
grapes = 2 1/2 pounds
apples = 1 1/4 times as many pounds as grapes.
For easier computation, let us convert these fractions into numbers with decimal places.
2 1/2 pounds = 2.50 pounds
1 1/4 times = 1.25
Apples = 2.50 pounds * 1.25 = 3.125 pounds of apples.
Or we still use fractions. We need to convert the mixed fractions into improper fractions.
2 1/2 = 5/2
1 1/4 = 5/4
5/2 * 5/4 = 5*5 / 2*4 = 25/8 is simplified to 3 1/8 pounds
