Answer:
x = 5
Step-by-step explanation:
The equation of a line is given by :
y=2x+2.5
Where
y is cost and x is number of tickets
Put y = $12.5 in the above equation
So,
12.5=2x+2.5
10 = 2x
x = 5
So, he can purchase 5 tickets.
Answer: B (slope and y-intercept)
Step-by-step explanation:
They charge $0.10 per meter, so that would be represented as y=0.10x. There is an additional fee of $25 which is the +25. The full equation is y=0.10x+25.
0.10x is the slope, and 25 is the y-intercept. Hope this helps!
Answer:
512ft³
Step-by-step explanation:
A rectangular prism is made up of 32 cubes, each measuring 1 /4 of a foot per side. What is the volume of the rectangular prism?
Since we have 32 cubes with each side = 1/4 foot
= 32 × 1/4 foot
= 8
Hence, the volume of the rectangular prism = 8 × 8 × 8
= 512ft³
Answer:
g(x) = x+1
Step-by-step explanation:
Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...
h(x) = f(x+1) = f(g(x))
so
g(x) = x+1
_____
More formally, you can apply the inverse of the function f(x) to the equation ...
h(x) = f(g(x))
f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied
f^-1(h(x)) = g(x) . . . . . . . . . simplified
Now f^-1(x) can be found by solving for y in ...
x = f(y)
x = ∛(y+2) . . . . . . . . . definition of f(y)
x^3 = y+2 . . . . . . . . . cube both sides
x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides
So, f^-1(h(x)) is ...
f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2
g(x) = x+1
