Answer:
(-2,-36)
Step-by-step explanation:
<u>1) Find the zeros of the parabola</u>
The zero-product property states that any value, when multiplied by 0 will equal 0. Therefore, to make y=0, either (x-4)=0 OR (x+8)=0.
Therefore, x=4 and x=-8.
<u>2) Find the x-coordinate of the vertex</u>
To do this, we take the average of our zeros.
Therefore, the x-coordinate of the vertex is -2.
<u>3) Find the y-coordinate of the vertex</u>
Plug the x-coordinate back into the original equation
Therefore, the y-coordinate of the vertex is -36.
Therefore, the vertex of the parabola is (-2,-36).
I hope this helps!
As long as the mass of the chip is evenly distributed on each side, whatever times you flip the chip,
The probability will always be 50%
First add 7d to both sides:
-22 = 11d
Now divide by 11 both sides
-2 = d
You can work on either side of the equation, I used the right side for the variables because it was easier to add to positive numbers than dealing with negative numbers on the left side:
-7d -4d = 22
-11d =22
d = -2
either way you get the same answer :)
The amount of gas consumed by first and second car were 20 gallons and 15 gallons respectively.
<em><u>Explanation</u></em>
Suppose, 
gallons of gas were consumed by the first car.
As the total gas consumption in one week is 35 gallons, so the amount of gas consumed by second car will be: 
gallons.
The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas.
So, the <u>distance traveled by the first car</u> in gallons of gas 
miles and the <u>distance traveled by the second car</u> in gallons of gas 
miles.
Given that, the two cars went a <u>combined total of 925 miles</u>. So, the equation will be.....
So, the amount of gas consumed by the first car is 20 gallons and the amount of gas consumed by the second car is: (35 - 20) = 15 gallons.
