Answer:
y = 5x2 + 10x - 15
We want this in format y = a(x-h)2 + k
where the vertex will be at (h,k)
y = 5(x2+2x) - 15
Complete the square on x2+2x
y = 5(x2+2x+1) - 15 - 5
We subtract 5 at the end because we are actually adding 5(1) = 5
so we need to remove it also to keep the total equal
y = 5(x+1)2 - 20
The vertex is at (-1,-20)
A. They are both proportional because they have the same ratio.
b. The two graphs are the same because they have a constant rate of change (50), but they have different y-intercepts.
Curt because if his time was 8/9 of Ian's time then that means he ran the mile in a fraction of Ian's time, so he finished the mile quicker. Curt ran faster.
First we will change them on the same denominator which will be 12. If we do something to the denominator we must do the same to the numerator so :
For 1/3 we get 4/12 because (1/3)*4 = 4/12
And for 2/3 we get 8/12 because (2/3)*4 = 8/12
So 1/3 is the smaller fraction, 7/12 is in the middle and 2/3 is the bigger fraction.
Answer:
x=8
Step-by-step explanation:
First multiply 30 and 16 to find out how many ounces are in the 30 lb. bag of dog food.
30 x 16=480
Since the 3 dogs eat 20 ounces of food, we can make a equation.
3(20x)=480
20 x 3=60
60x=480
x=8
<u>Final answer</u>
8 days
