Answer:
Andrew has been in the book club for 18 months.
Step-by-step explanation:
The number of books already read by Andrew = 13 books
He reads 1 book each month after joining the book club.
Number of books he has read after joining the club = 31 books
Number of books read after joining the Club
= Total books Read - Books read beforehand
= 31 books - 13 books
= 18 books
So, the number of books Andrew read within the club = 18 books
Now, as Andrew read 1 book per month
⇒ Andrew reads 18 books in 18 x ( 1 Month) = 18 Months
Hence, Andrew has been in the book club for 18 months.
The y-intercept is the y value of an equation on a graph or cordinate grid For example y=mx+b, b would be the y-intercept. Another example, y=2x-2, -2 would be the y-intercept and you would place a point on -2 and go up 2 right 1 because of the slope 2. I hope this helps you to better understand the y-intercept.
Answer:
f[g(3)] = 100
g[f(5)] = 138
g{f[g(-4)]} = -982
Step-by-step explanation:
f(x) = 4x - 3
g(x) = 8x + 2
a. f[g(3)]
First find g(3) by putting x = 3 in g(x) function
g(3) = 8(3) + 2 = 24 +2 = 26
now put this g(3) = 26 as x in f(x)
f(g(3)) = f(26) = 4(26) - 4 = 104 - 4 = 100
b. g[f(5)]
First lets find f(5)
f(x) = 4x - 3
put x = 5 above
f(5) = 4(5) - 3 = 20 - 3 = 17
put this f(5) = 17 as x in g(x)
g(f(5)) = g(17) = 8(17) + 2 = 138
c.g{f[g(-4)]}
First lets solve the inner most function
g(-4) = 8(-4) +2 = -30
put g(-4) = -30 in f(x) to find f(g(-4))
f(g(-4)) = f(-30) = 4(-30) - 3 = -123
put f(g(-4)) = -123 as x in g(x) to find our complete result
g{f[g(-4)]} = g(-123) = 8(-123) + 2 = -982
Answer:
The answer is y=40x because where the line hits a center point on you divide, for example in the picture the line is hitting (1.5,60) so you divide 60 by 1.5 and get 40 :)
Answer:
26 units
Step-by-step explanation:
Pythagoras' Theorem: 
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given
Substitute the given values into the formula and solve for c:
Since length is <u>positive</u>, c = 26 only
