Answer:
The slope of f(x) is 1.5
Step-by-step explanation:
step 1
Find the slope of the linear function that has an x-intercept of 2/3 and a y-intercept of -1
so
we have the points
(2/3,0) and (0,-1)
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the slope of the function graphed
take the points
(0,-1) and (3,6) approximately
substitute in the formula
step 3
we know that
f(x) represents the function with the smaller slope
The smaller slope is 1.5
therefore
The slope of f(x) is 1.5
Answer:
y=mx+b sdi c xc xx cx cx cxc xc 87
Step-by-step explanation:
Answer:
She went on the slide 8 times and on the roller coaster 4 times
Step-by-step explanation:
We convert each statements to a mathematical equation.
Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.
Mathematically, R + S = 12. ........(i)
Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.
To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.
Mathematically, 25R + 10S = 180 .......(ii)
Here we now have two equations that we can solve simultaneously.
From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:
25(12 - s) + 10s = 180
300 - 25s + 10s = 180
300 - 25s + 10s = 180
300 - 15s = 180
15s = 300 - 180
15s = 120
S = 120/15
S = 8
S = 8 , and R = 12 - S = 12 - 8 = 4
Answer:
4/16
Step-by-step explanation:
Answer:
g(q) = 
Step-by-step explanation:
Given
- 7q + 12r = 3q - 4r
Rearrange making r the subject
Add 7q to both sides
12r = 10q - 4r ( add 4r to both sides )
16r = 10q ( divide both sides by 16 )
r = 
= , thus
g(q) =
