<h3>
Answer: b = 4 and c = 7.</h3>
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Explanation:
Comparing y = x^2+bx+c to y = ax^2+bx+c, we see that a = 1.
The vertex given is (-2,3). In general, the vertex is (h,k). So h = -2 and k = 3.
Plug those three values into the vertex form below
y = a(x-h)^2 + k
y = 1(x-(-2))^2 + 3
y = (x+2)^2 + 3
Then expand everything out and simplify
y = x^2+4x+4 + 3
y = x^2+4x+7
We see that b = 4 and c = 7.
Answer:
14 in^3.
Step-by-step explanation:
The volume = volume of the bottom prism + volume of the top pyramid
= area of base * height of the prism + 1/3 * area of base * height of the pyramid
= 2 * 1.5 * 4 + 1/3 * (2*1.5) * 2
= 3*4 + 1/3 * 6
= 14 in^3.
Answer:
A is your answer.
Step-by-step explanation:
Answer:
If the slope is 3/5, then we should count 3 squares up and 5 squares to the right.
Step-by-step explanation:
You can find the slope with rise/run.
Answer:
The mileage of the car is 30 miles per gallon
Step-by-step explanation:
Here, we are interested in calculating the gas mileage of the car.
The gas mileage refers to the number of kilometers the car can travel on a particular amount of fuel.
The full capacity of the car tank is 15 gallon
Now after traveling 300 miles, it stops for gas and 10 gallons of fuel are added to make the car full again.
What this means is that the car used up a total of 10 gallons of fuel for the 300 miles
Thus, the gas mileage of the car is that it used 10 gallons to travel a total of 300 miles
Expressing this as a ratio, we have 300 miles/10 gallons = 30 miles/ gallon
This means that on a gallon of fuel, the car can travel 30 miles
