let "a number" = x
a number is divided by 3 => x/3
14 is added to the quotient => (x/3) + 14
The result is 33 => " = 33"
Solve for x
(x/3) + 14 = 33
Isolate the x. Note the equal sign. What you do to one side you do the other.
Subtract 14 from both sides
(x/3) + 14 (-14) = 33 (-14)
x/3 = 19
Isolate the x. Multiply 3 to both sides
x/3(3) = 19(3)
x = 19(3)
x = 57
57 is your original number
hope this helps
Answer: see image
<u>Step-by-step explanation:</u>
Draw the line y = 1. Count how many units away the point is from that line. Move that point the same number of units in the opposite direction to create the reflection.
J is 2 units above y = 1. The new point is 2 units below y = 1. → (3, -1)
K is 3 units above y = 1. The new point is 3 units below y = 1. → (6, -2)
L is 5 units above y = 1. The new point is 5 units below y = 1. → (3, -4)
M is 3 units above y = 1. The new point is 3 units below y = 1. → (0, -2)
Answer:
Step-by-step explanation:
The slope of negative one means it is the opposite of a positive graph and the overall value is decreasing. The origin is (0,0)
Answer:
f−1(x)=x5+45
Step-by-step explanation:
Answer:
(3, 2)
Step-by-step explanation:
Given the 2 equations
y = 2x - 4 → (1)
3x + y = 11 → (2)
Substitute y = 2x - 4 into (2)
3x + 2x - 4 = 11
5x - 4 = 11 ( add 4 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Substitute x = 3 into (1) for corresponding value of y
y = (2 × 3) - 4 = 6 - 4 = 2
Solution is (3, 2)