Answer:
g^-1(x) = (x - 5)/-6
Step-by-step explanation:
g^-1(x) refers to an inverse function. To find any inverse function, we must replace g(x) with x and x with g(x). We can then solve for the new g(x) and that would be the composite function.
g(x) = -6x + 5 ------> Swap x and g(x)
x = -6g(x) + 5 -----> Subtract 5 from both sides
x - 5 = -6g(x) ------> Divide by -6
(x - 5)/-6 = g(x)
Answer:
633.58
Step-by-step explanation:
2890 miles / 13 mpg = 222.31 gallons used
222.31 gallons * 2.85 per gallon = 633.58
All you would have to do is plug in 5 for t since that is the time; then you would see that the height of the object after 5 seconds is 886 ft. Hope this helped!
Answer:
B and D
Step-by-step explanation:
Length of a wire = 23 cm
Given that :
▪︎The wire was cut into two pieces.
▪︎The longer piece of wire is 7 cm longer than the shorter piece of wire.
Let the shorter piece of wire be x.
Then, the longer piece of wire = x+7
An equation that can be derived from these statements :
▪︎x + x + 7 = 23
Let us solve this equation :
Thus, the value of x = 8.
Which means :
Length of the shorter piece of wire = 8 cm
Length of the longer piece of wire = 8 + 7 = 15 cm
Since the length of the two wires add up to form 23 cm(8+15=23), we can conclude that we have found out the correct measures of each wire.
Therefore, the length of the shorter piece of wire = <u>8 cm</u>