Parallel lines have the same slope.
We have the line y = 3/4x + 1.
Then the equation of a parallel line is y = 3/4x + b.
The line passes through the point (4, -2). Put the coordinates of the point to the equation of a line:
-2 = 3/4(4) + b
-2 = 3 + b <em>subtract 3 from both sides</em>
-5 = b
<h3>Answer: y = 3/4x - 5</h3>
Answer:
a) f g(x) = x³ - 5 x² + x -5
b) g(f(x) = x³ - 5 x² + x -5
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that f(x) = x² + 1 and g(x) = x-5
a)
f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26
<u><em>Step(ii):-</em></u>
a) f g(x) = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5
b) g(f(x) = g(x) f(x) = (x-5) (x²+1) = x³ - 5 x² + x -5
Answer:
7/5
Step-by-step explanation:
rewrite as an equation ..
3 4/5 \ x = 2 5/7
times x to both sides
2 5/7x= 3 4/5
divide 2 5/7 from both sides
x=7/5
The total cost for this item is $18.19.
To find the sales tax of something, you move the decimal two places to the left on the percent. Then you multiply the items cost and the tax together, which gets you $1.19. Add the original amount with 1.19 and you get 18.19.