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!
Answer:
32.25%
Step-by-step explanation:
The equation of variation is z = ky/√x
When y is increased by 15%, we have value of y = 1.15y.
To keep z constant √x must = 1.15 so x must be 1.15^2 = 1.3225.
Therefore x must be increased by 0.3225 or 32.25%.
Answer:
666 2/3
Step-by-step explanation:
45 % * x = 300
.45 x = 300
x = 300 / .45 = 666 2/3
