Answer:
y = ⅔x - 5
Step-by-step explanation:
The line that is parallel to 2x - 3y = 24, would have the same slope as the line, 2x - 3y = 24.
Rewrite;
2x - 3y = 24
-3y = -2x + 24
Divide both sides by -3
y = ⅔x - 8
Thus, the slope of 2x - 3y = 24 is ⅔.
Therefore the line that is parallel to 2x - 3y = 24, will have a slope (m) of ⅔.
Using point-slope form, we can generate an equation that passes through (-3, -7) and is parallel to 2x - 3y = 24.
Thus, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)
Therefore:
y - (-7) = ⅔(x - (-3))
y + 7 = ⅔(x + 3)
Rewrite in slope-intercept form.
Multiply both sides by 3
3(y + 7) = 2(x + 3)
3y + 21 = 2x + 6
3y = 2x + 6 - 21
3y = 2x - 15
Divide both sides by 3
y = ⅔x - 5
Answer:
can be expressed as decimal: 0.025
s= 1.025* $250
= $256.25
after 8 years
s= $250* 1.025^8
~$304.6
earned $54.6
Step-by-step explanation:
2 and a half is equivilant to 2.5
because it is a % (out of 100) move the decimal 2 places down
2.5-->0.25-->0.025
so can be expressed as decimal: 0.025
interest after 1 year is:
original amount of money * (interest rate+1.0)
+1 because you are adding on to 100%. you already have 100%. if it was just the interest rate, the amount of money would go down.
so
s= 1.025* $250
=1.025* 250
=256.25
interest after 8 years,
that means you have to take the original, and multiply it by the interest rate, then the new original multiply by intrest rate a total of 8 times
to do this use an exponent, because exponents base the total off the total before them. if that makes any sense srry
s= $250* 1.025^8
~$304.6 (I used calculator)
to get her earnings, subtract the new amount of money with her original amount of money
304.6-250
=54.6
$54.6
hope this helps
How to use techniques of adding the additive inverse and multiplying by the Students use algebra to solve equations (of the form px + q = r and p(x + q) = r where p pay with a $10 bill and receive no change, then how much did each bottle of a. If Allen buys 4 uniform shirts at one time, he gets a $10 discount so that the
Answer:
x^2 -2x+1
Step-by-step explanation:
(x - 1 )(x - 1)
FOIL
first: x*x = x^2
Outer: -1x
inner: -1x
Last: -1*-1 = 1
Add these together
x^2 -1x-1x+1
x^2 -2x+1