Answer:
f^-1(x) = (x+20) / 12
Step-by-step explanation:
f(x) = 4(3x-5)
Let y be the image of f.
y = 4(3x-5)
y = 12x-20
y+20 = 12x
x = (y+20) / 12
f^-1(y) = (y+20) / 12, so
f^-1(x) = (x+20) / 12
Substitute y = 15x to the equation y = 25 + 12.5x:
15x = 25 + 12.5x <em>subtract 12.5x from both sides</em>
2.5x = 25 <em>divide both sides by 2.5</em>
x = 10
Substitute the value of x to the equation y = 15x:
y = (15)(10)
y = 150
<h3>
Answer: x = 10 and y = 150</h3>
Answer:
Step-by-step explanation:
Formula for straight lines:
where m = slope, b = constant
Given:
y-intercept = -3 (0, -3)
m = ⅛
Substitute into formula to find b.
Substitute b into original formula
Answer: (5/3, -13/3)
Step-by-step explanation:
Answer:
<u><em>14</em></u>
<u><em></em></u>
Step-by-step explanation:
<u><em> Expression: Negative × Negative + Positive </em></u>
<em><u>Product: Positive </u></em>
<u><em>Answer: (-3 × -2) + 8 .</em></u>
<em> 6 + 8 = 14</em>
<em> 14</em>
