You always start in the center, or the origin, the horizontal movement (left and right) is the first value or the x, then the vertical movement, up and down, is the y. So since b is 3 to the right and zero up or down it’s (3, 0)
Answer:
C. Both f(x) and its inverse function intersect at point (2, 2).
Step-by-step explanation:
First of all, let's begin defining f(x) = y.
Since the linear function f(x) intersects at
• 6 on the y-axis; and
• 3 on the x-axis;
we can deduce the following equation:
6x + 3y = 6(3)
6x + 3y = 18
3y = -6x + 18
y = -6x/3 + 18/3
y = -2x + 6
f(x) = -2x + 6
Then, we'd want to find the inverse of f(x), which is f`¹(x).
f(x) = -2x + 6
y = -2x + 6
Interchange the variable y to x and vice versa.
x = -2y + 6
2y = -x + 6
y = (-1/2)x + 3
f`¹(x) = (-1/2)x + 3
Since both f(x) and its inverse function are equal to y, set them both as equal.
f(x) = f`¹(x)
-2x + 6 = (-1/2)x + 3
-2x + (1/2)x = 3 - 6
(-3/2)x = -3
x = 2
Substitute x = 2 into y = -2x + 6.
y = -2(2) + 6
y = -4 + 6
y = 2
Now that we know x = 2 and y = 2, then the intersection point of (x, y) must be (2, 2).
I hope this helps! Sorry if my English didn't really help with giving a clearer explanation.
$9.24
3.785 liters in a gallon
Divide it by the total cost
Step 1: Find the circumference of the circle
C = 2pi * r
C = 2pi * 6
C = 12pi cm
Step 2: Multiply by the central angle over the whole
---We do this because we are only finding a part of the whole circumference. That part is determined by the central angle.
12pi x 30/360
12pi x 1/12
ARC = 1pi cm
Hope this helps!
Answer:
A, 120.
Step-by-step explanation:
x-15+75=180
x+60=180
x=120.
