Answer:
Option d) (3,3)
Step-by-step explanation:
A function f(x) and its inverse f^(-1) (x) are symmetrical with respect the right line y=x, then their point of intersection is when they cross the right line y=x. In the attached graph we draw the right line y=x, and the function f(x) crooses this line at the point (3,3), then this point is their intersection point.
Since it is perpendicular to y=3x-1, the slope must be a negative reciprocal.
there the slope of the perpendicular line is
So now we have,
To find b, we use the point that the line passes through and substitute it to the y and x values.
which would give us b=5/3
Therefore, the equation of the line is
Alternate Interior angles
Let
x-----> the purchase price of the house
we know that
1) Marika paid of the purchase price of the house with a loan
2) Marika paid the remaining of the purchase price with her savings
3) represent the of the purchase price
so
Solve for x
Divide by both sides
therefore
<u>the answer is</u>
the purchase price of the house is
Answer:
$6.03
Step-by-step explanation:
The question is asking us how much each pair of socks cost. With the information we are given, we know that there are 5 pairs and that they all cost the same amount. If the total were just the 5 socks, we could easily divide the total by 5 to get the price of each pair but that's not the case. The soccer ball is included in the final cost. To overcome this, we just have to subtract the soccer ball's cost ($45) from the total.
So we subtract $45 from $75.15, giving us $30.15, the total amount of all the socks. However we need to find out how much each pair costs and there are 5 of them, so we divide 30.15 by 5. This gives us the answer, $6.03.
Each pair of socks cost $6.03.
Simpler Explanation:
- $75.15 - $45 = $30.15
- $30.15 / 5 = $6.03
The answer is $6.03