7:
Parallel lines have the same slope
y = -3x + b
Plug in the x and y values from the point
5 = -3(-4) + b
5 = 12 + b
-7 = b
Answer to 7: y = -3x -7
8:
Perpendicular lines have opposite reciprocal slopes
y = -2x + b
Plug in x and y from the point
-6 = -2(7) + b
-6 = -14 + b
8 = b
Answer to 8: y = -2x + 8
Hmm... well, here ya go.
1.50 ÷ 0.05 = 30
So, the total is $30
As for the tax rate, including the total, it would be $31.50.
Hope I helped.
Answer:
-15
Step-by-step explanation:
start from the inside and go out.
So first plug in -3 into g(x)
g(-3) = -3 - 7 = -10
then plug in -10 into f(x)
f(-10) = 2(-10) + 5 = -15
so f(g(x)) = -15
<u>1/3; 2/7; 2/9</u>
Lets find least common multiple
The least common multiple is 63
1/3 --> 21/63
2/7 --> 18/63
2/9 --> 14/63
As you can see I am correct, but I found the LCM by multiplying 1/3 by 21 to get to 63 and the numerator as well
To find the intersecting point, you have to put the two formulas equal to each other
First isolate the same variable, in this case y
So y=x-4
Now we can say
2x + 7 = x - 4
Now solve for x
X= 3
Now fill this in in either one of the formulas
Y= 2 (3) + 7
Y= 13
So they’ll intersect at (3,13)
