To find the x value of the vertex we do:
x =
if your quadratic function is in the form ax² + bx + c = y
x =
x =
Now we plug this x into the equation and solve for y.
y =
y =
y =
y =
y =
y =
Your vertex (if my math is correct) is at
Answer:
(p - 7)(2p - 5)
Step-by-step explanation:
Answer:
(simplified)
(in terms of pi)
Step-by-step explanation:
Since the salsa jar is basically a cylinder, to solve this we are using the formula for the volume of a cylinder:
where
Is the volume of the cylinder (salsa jar)
is the radius of the cylinder (salsa jar)
is the height of the cylinder (salsa jar)
We know from our problem that height of the full salsa jar is 10 centimeters; we also know that that there are only 4 centimeters of salsa left in the salsa jar. So, to find the the height of the missing salsa, we just need to subtract the height of the salsa from the height of the full salsa jar: 
. Since the radius of the salsa jar never changes, 
.
Now we can replace the values in our volume formula to find how much salsa is missing from the jar:
We can conclude that there are 471.24 cubic centimeters missing from the jar, or in terms of pi: 
.
120 miles divided by 25 = 4.8
4.8 x 4 = 19.2 inches
The best way to find the answer is to solve for x. To start you would add 38 and 39, getting 77, then subtract that from 180 to get the last angle in the triangle, 103. Finally, you would subtract 103 from 180, getting 77, to get x. The only thing you need to do now is to look at all of the answers and figure out which one makes sense for the answer you got. You know it can't be x<77 because it doesn't have the or equal to sign. You know it can't be x>103 because 77 is lower than 103. You know it can't be x<39 because 77 is greater than 39, so the answer has to be x > 38.
