and
use the second expression to calculate the left-hand side of the first equation:
Add 10 to both sides if this equation to get
and divide both sides by 2
this proves that x = 17, give the two initial equations
57 students choose to attend one of three after school activities: football, tennis or running.
1 answer:
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Answer:
5
Step-by-step explanation:
First figure out the equation:
We know this is a linear equation because it appears to have a constant slope
Its y-intercept is where it passes in the y-axis, so it's -8
Furthermore, you should also figure out the slope. Notice that the y value increments by 3 every 1 x-value. Rise/Run is 3/1 = 3. Thus, the slope is 3
So your equation is g(x) = 3x - 8
Now we find our inverse function, which is just swapping the x-y values.
Thus, inverse of g(x) ==> y = 3x - 8 ==> x = 3y - 8 ==> x+8 = 3y ==>
Plug in 7 for x and you get 5
Answer:
The length of Mai's bike ride was 2.1 times the length of Noah's ride.
Step-by-step explanation:
Mai biked 5 1/4 miles today
So he biked, in miles:
Noah biked 2 1/2 miles.
So, in miles, he biked:
How many times the length of Noah’s bike ride was Mai’s bike ride?
We divide the Mai distance by Noah's distance. In a division of fractions, we multiply the numerator by the inverse of the denominator. So
The length of Mai's bike ride was 2.1 times the length of Noah's ride.