Answer:
f(m) = 75-8m
Step-by-step explanation:
She began with $75. After the first movie, she had $67 remaining; this means she spent
75-67 = $8
After the second movie, she had $59 remaining; she spent
67-59 = $8
After the third movie, she had $51 remaining; she spent
59-51 = $8
Each movie costs $8. Letting m represent the number of movies, this gives us 8m.
Since she is spending money, we subtract this from the original amount, $75; this gives us
f(m) = 75-8m
Answer:
Volume = 803.84 cubic inches
Step-by-step explanation:
Volume = πr²h
= 3.14 x 8 x 8 x 4
= 3.14 x 256
= 803.84 cubic inches

is a parabola (looks like the letter U).
The letter a represents the coefficient of

and it controls two things (1) how wide or narrow the parabola is and (2) whether it is concave up (like a U) or concave down (like an up-side-down).
The absolute value of a (the number without the sign) controls how wide or narrow it is. If the absolute value is a fraction less than 1 the graph gets wider. The smaller the absolute value of the fraction the wider the graph gets.
If the absolute value of a is greater than 1 the graph gets narrower (it gets skinnier). The bigger the absolute value the narrower the graph.
So, if all the graphs look like a U (concave up) then the one with the smallest a is the one that is the widest.
The a also controls whether the graph is concave up or concave down. If a is negative
If a is negative the graph is concave down so any graph that is concave down has a smaller value of a than any graph that is concave up. However, if the graph is concave down the one with the smallest a would be the most narrow one.
So to find the one with the smallest a...
If they are all concave up (like a U) pick the widest one
and
If they are not all concave up pick the narrowest one that is concave down (looks like an upside down U)
KU and UM are equal to each other.
KU = 3x + 3
UM = 4x - 4
3x + 3 = 4x - 4
3x = 4x - 7
-x = -7
x = 7
If you plug that into either one of the equations, you get 24.
3(7) + 3
24
So depending on your question, x is 7, KU is 24, and UM is 24.