Answer:
slope: ; y-intercept: 1
Step-by-step explanation:
First, you must rearrange the function into y = mx + b form:
2x + x = 4(y - 1)
Simplify both sides:
3x = 4y - 4
Subtract 3x and 4y from both sides:
-4y = -3x - 4
Divide both sides by -4:
y = + 1
Now that it is in y = mx + b form, you can find the slope and y-intercept. In y = mx + b form, m is the slope and b is the y-intercept. Therefore:
m = = slope
b = 1 = y-intercept
2^m=2^n take the natural log of both sides
m*ln2=n*ln2 divide both sides by ln2
m=n
Answer:
Option C.
Step-by-step explanation:
As we can see from the graph, we have plotted the different points.
If the line drawn through the scatter plots, shows the relationship between the length x and mass f(x) then the function will be in the form of
f(x) = mx + b
where m = slope of the line that fits the best
b = y-intercept of the line
Since the plotted line passes through two pints (1, 1) and (10, 94).
Then the slope m =
m =
m =
m = 10.3
Now we place the coordinates (1, 1) in the equation to find the value of y-intercept b.
1 = 10.3 + b
b = 1 - 10.3
b = -9.3 ≈ 9
So the function will be f(x) = 10.3x - 9
Option C is the answer.
Answer:
2.5$ per pound
Step-by-step explanation:
The cost of 4 pounds of cherries cost 10$
So to khow the price of 1 pound we must divide 10 by 4.
● 10/4 = 2.5
So 1 pound costs 2.5$