Answer:
Step-by-step explanation:
To find the inverse function switch variables out and solve for y
If
y=(x+3)/x swap variables to get
(y+3)/y=x then solve for y
y+3=yx
y-yx+3=0
y-yx=-3
y(1-x)=-3
y=-3/(1-x)
y=3/(x-1)
Answer:
A true
Step-by-step explanation:
Rectangles have parallel sides and 90 degree angles.
Squares have parallel sides and 90 degree angles and equal length sides
Square are a subset of rectangles
All squares are rectangles
Answer:
y = -3x - 12
Step-by-step explanation:
Lines that are parallel have the same gradient.
Therefore using the point (-2,-6) you can make your own equation.
-6 will be y, -2 will be x
All you have to do is find the y-intercept which is C in <em>y</em><em>=</em><em>mx</em><em>+</em><em>c</em>
-6 = -3(-2) + c
-6 = 6 + c
-12 = c
Therefore;
<u>y = -3x - 12</u>
Answer:
1. C
2. D
Step-by-step explanation:
1.
Pattern A is adding by 2's (1 -> 3, 4 -> 6, 7 -> 9 and so on).
Pattern B is multiplying by 2's (2 -> 4, 3 -> 6, 4 -> 8 and so on).
2.
If 0.25 gallons of paint = 24 ft^2, then 1 gallon will equal?
Set up an equation:
Variable x = area of ft^2 for 1 gallon of paint
0.25/24 = 1/x
Cross multiply
0.25 × x = 24 × 1
0.25x = 24
To make calculations easier, you can convert the decimal into a fraction: 0.25 = 1/4
1/4x = 24
Multiply both sides by 4
1x = 96
x = 96 ft^2
Check your work:
0.25/24 = 1/96
0.25 × 96 = 24 × 1
24 = 24
Correct
The x axis of the point is being translated three units to the left (going from 6 to 3)
The y axis of the point is being translated 2 units down (going from 4 to 2)