Subtract 3 from each side to isolate the x and you get x=y-3
Answer:
The table should measure diagonally about 41.23 inches.
Step-by-step explanation:
To find the diagonal of a rectangle we use the formula :
+
= 
A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.
+
= 
1024 + 676 = 
1700 = 
The square root of 1700 is (rounded to the hundreth's place) = 41.23
All it's asking is: How many cubic inches are there in 22 gallons ? And it already GAVE us the conversion factor !
The conversion factor is . . . . . 1 gallon = 231 cubic inches
Multiply each side by 22: 22 gallons = 22 x (231 cubic inches)
22 x 231 = 5,082
22 gallons = 5,082 cubic inches
If you empty a full 22-gallon tank out through that flow meter, the meter will register 5,082 cubic inches when the tank is empty.
Answer:
<em>The coordinates of the vertex are (-1,-4).</em>
Step-by-step explanation:
<u>Equation of the Quadratic Function
</u>
The vertex form of the quadratic function has the following equation:

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
We are given the function:

We must transform the equation above by completing squares:
The first two terms can be completed to be the square of a binomial. Recall the identity:

Thus if we add and subtract 1:

Operating:

The trinomial in parentheses is a perfect square:

Adding 4:

Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).
The coordinates of the vertex are (-1,-4).
Answer: Slope:
6
y-intercept:
0
Step-by-step explanation:
Hope this helps!
I am joyous to assist anytime.
~Jarvis