The inverse function of the given function is
A function g is the inverse of a function f, if and only if the values of y= f(x), x = g(y).
From the formula given:
Let's substitute x with y;
Solve for y;
Learn more about solving inverse functions here:
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Answer:
1)
2)
Step-by-step explanation:
1)
Subtract 15 from both sides
Divide both sides by 2
this shows that 10 is the right answer
2)
Add 3 to both sides
Divide both sides by 7
this shows that 3 is the right answer
Hope this helps
Answer:
3 Liters of the 85% Solution
Step-by-step explanation:
You have to draw your buckets. I can't on computer so imagine the fraction bar is the bottom of the buckets.
Then we multiply the top of the buckets with the bottom:
85x+330=65x+390
Now we simplify and solve
20x=60
x=3
You need 3 liters of the 85% solution!
Answer:
Step-by-step explanation:
The slope of a graph is also known as its gradient, which is the steepness of the graph.
If we are given two points on the line, we can find the slope by taking rise/ run, which is the ratio of the change in y-coordinate against the change in the x-coordinate. This can also be written as a formula:
☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
In this question, we are given the equation of the line. This equation is already in the slope-intercept form (y= mx +c) since the coefficient of y is 1 and all the other terms are on the other side of the equal sign. In the slope-intercept form, m is the slope while c is the y-intercept.
m= ⅘ since the coefficient of x is ⅘ in the given equation (when the equation is in the slope-intercept form).