Answer:
6/13
Step-by-step explanation:
Answer:
m = -1; b = 2
Step-by-step explanation:
the first step in solving this equation is to find the slope
so we use the equation (y2-y1)/(x2-x1)
so with this the equation is
(4 - 3)/(-2 + 1)
then it would be 1/-1
that is -1
so the function so far is f(x) = -x + b
to find the b you would plug in the coordinates
we can plug in the first set
3 = 1 + b
b = 2
so the m is -1 and the b is 2
Answer:
(f • g)(x) = -6x² - 24x
Step-by-step explanation:
The expression (f • g)(x) can be written in an expanded form, f(x) • g(x).
(f • g)(x) <----- Original expression
f(x) • g(x) <----- Rewritten expression
(- 6 x) • (x + 4) <----- Insert functions
-6x² - 24x <----- Multiply -6x and x, and multiply -6x and 4
Answer:
Step-by-step explanation:
Last year
Ratio of the number of middle school students to number of high school students = 1 : 8
Total ratio = 9
Middle school = 1
High school = 8
Total students in the band = x
Middle school = 1/9x
High school = 8/9x
Total = 1/9x + 8/9x
This year
Ratio of the number of middle school students to number of high school students = 2 : 7
Total ratio = 9
Middle school = 2
High school = 7
Total students = x
Middle school = 2/9x
High school = 7/9x
Total = 2/9x + 7/9x
If there are 18 middle school students in the band this year
2/9x = 18
x = 18÷2/9
= 18 × 9/2
= 81
x = 81
Last year:
1/9x + 8/9x
= 1/9 * 81 + 8/9 * 81
= 9 + 72
= 81
This year
2/9x + 7/9x
2/9*81 + 7/9*81
= 18 + 63
=81
Change in middle school =this year - last year
= 18 - 9
= 9 (increase)
Change in high school = this year - last year
= 63 - 72
= -9 (decrease)
Answer:
See attachment for graph
Step-by-step explanation:
<em>See comment for correct question</em>
Given
Required
The corresponding points on 
On the graph, we have:
First, we solve for b in
Using laws of logarithm, the equivalent of the above is:
implies that:
Rewrite as:
So, the equation becomes:
Using the same values of x, we have:
<em>See attachment for graph</em>
