I'm in a hurry to get home.
My car is almost out of gas.
I pull into a gas station.
I have $10 in my pocket.
Gas is selling for $2.36⁹ per gallon.
How many gallons can I buy.
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Even better:
My car gets 25 miles to the gallon.
How many miles can I buy ?
Answer:
P(x) = 
- 7x² + 12
Step-by-step explanation:
Given zeros x = 2, x = - 2, x = 
, x = -
Then the factors are (x - 2), (x + 2), (x - ), (x + )
and the polynomial is the product of the factors, that is
P(x) = (x - 2)(x + 2)(x - )(x + ) ← expand in pairs using FOIL
= (x² - 4)(x² - 3) ← distribute
= - 3x² - 4x² + 12 ← collect like terms
= - 7x² + 12
Answer:
1/10 as a percent is 10%
1/5 as a percent is 20%
Step-by-step explanation:
You need to multiply the bottom numbers to 100 because usually all percentages are out of 100. The result is the top number.
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
D, because there are several students that are in your school. There would be many different answers.
