x is the temperature and y is the number of swimmers. If there are 80 swimmers, then y = 80 instead of x = 80
This is how Corey should have solved
y = 1.505*x - 88.21
80 = 1.505*x - 88.21 <--- replace y with 80
1.505*x - 88.21 = 80
1.505*x = 80 + 88.21 <--- add 88.21 to both sides
1.505*x = 168.21
x = 168.21/1.505 <--- divide both sides by 1.505
x = 111.767
x = 111.8
If there are 80 swimmers at the pool, then the possible outside temperature is roughly 111.8 degrees F. This temperature seems awfully large, so it's possible that Corey's regression equation has limited scope; in other words, it isn't too useful if x is outside a given interval.
5x + 8y = -29
7x - 2y = -67 ..... multiply both sides by 4
5x + 8y = -29
28x - 8y = -268
33x + 0y = -297
x = -9
(-9, 2)
Answer:
Slope: 7/4 Equation: y = 7/4x
Step-by-step explanation:
To find the slope check how much the line goes up when it goes to the right by 1. You can see in the picture that every time it goes to the right 8, it goes up by 14, so the slope is 14/8 = 7/4.
Since it goes through the point (0, 0) and the slope is 7/4, you know the equation would just be y = 7/4x
We know that:
A = 1440
H = 32
So you need to work backwards to find base.
1440 / 32 = 45
We can check our work:
32 x 45 = 1440
B = 45
Answer:
The maximum volume of the fuel is:

Step-by-step explanation:
The volume of the cylinder is given by:


If the tank can be filled to 85% of its capacity, the maximum volume of the fuel will be:


I hope it helps you!