The first one is <span>Equivalent and the second is nonequivalent</span>
9514 1404 393
Answer:
(C) Step 1: 15x − 20 = 1; Step 2: 15x = 21
Step-by-step explanation:
The first step is to eliminate the parentheses, using the distributive property.
5(3x − 4) = 1
15x -20 = 1
The second step is to add 20 to both sides of the equation.
15x = 21
This pair of steps is shown in the 3rd choice.
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<em>Comment on the answers</em>
The distributive property seems to be applied incorrectly a lot of the time. Here, you can choose the correct answer by looking at the result of properly applying the distributive property: 5(3x-4) = 15x-20. Only the correct choice has this as the first step.
Since grades are out of 100, you can just subtract 75 from 90 which is 15. the percent of increase in the student's grade is 15%
Answer:
y=7x+3
Step-by-step explanation:
Hi there!
We are given the equation y=7x-5 and we want to find the equation of the line that is parallel to it, and contains the point (4,31)
First, let's find the slope of y=7x-5, since parallel lines have the same slopes
The line y=7x-5 is written slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since 7 is in the place of where m is, the slope of the line is 7
It's also the slope of the line parallel to it.
We can substitute 7 as m into the formula y=mx+b for our new line:
y=7x+b
Now we need to find b
Since the equation will pass through the point (4, 31), we can use it to solve for b; substitute 31 as y and 4 as x
31=7(4)+b
Multiply
31=28+b
Subtract 28 from both sides
3=b
Substitute 3 as b
y=7x+3
Hope this helps!
