9514 1404 393
Answer:
(d) y = -2x +8
Step-by-step explanation:
The parallel line will have the same x-coefficient, eliminating choices B and C. If it goes through point (4, 0), then (x, y) = (4, 0) will satisfy the equation.
A: 0 = -2(4) +4 = -4 . . . . . not true
D: 0 = -2(4) +8 . . . . . . . . true
The equation you're looking for is ...
y = -2x +8
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<em>Additional comment</em>
Since you know the slope is -2 and a point on the line is (4, 0), you can use the point-slope form of the equation for a line as a starting point.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For m = -2, and (h, k) = (4, 0), the equation becomes ...
y -0 = -2(x -4)
Simplified to slope-intercept form, this is ...
y = -2x +8
Answer:
Both are inverse pairs
Step-by-step explanation:
Question 11
(a) Rename g(x) as y
(b) Solve for x :
(c) Multiply each side by ⅝
(d) Switch x and y
(e) Rename y as the inverse function
(f) Compare with your function
f(x) and g(x) are inverse functions.
The graphs of inverse functions are reflections of each other across the line y = x.
In the first diagram, the graph of ƒ(x) (blue) is the reflection of g(x) (red) about the line y = x (black)
Question 12
h(x)= x - 2
(a) Rename h(x) as y
y = x - 2
(b) Solve for x:
x = y + 2
(c) Switch x and y
y = x + 2
(e) Rename y as the inverse function
h⁻¹(x) = x + 2
(f) Compare with your function
f(x) = x + 2
f(x) = h⁻¹(x)
h(x) and ƒ(x) are inverse functions.
The graph of h(x) (blue) reflects ƒ(x) (red) across the line y = x (black).
Answer: 13
Step-by-step explanation:
5+2x
When x=4
5+2(4)
5+8
= 13
If you take 31*5 that equals = 155 ways! <span />