Answer:
f(x) = -3x + 4
Second option
Step-by-step explanation:
In function notation, the <u>"y" variable is isolated and replaced with "f(x)"</u>.
Isolate "y" by keeping "y" on the left and moving everything else to the right. To move something, do its reverse operation to both sides.
9x + 3y = 12
9x + 3y - 9x = 12 - 9x Do -9x on both sides
3y = -9x + 12
3y/3 = -9x/3 + 12/3 Divide by 3 on both sides
y = -3x + 4 Change to function notation
f(x) = -3x + 4 Answer
ANSWER
Perpendicular bisector
<u>EXPLANATION</u>
The perpendicular bisector of a line divides the line into two equal parts.
It forms a locus of points that are equidistant from the two given points.
Therefore the set of all points that are equidistant from two given points in a plane is the perpendicular bisector of the line joining the two points.
Represent the number of days by x. With this representation, the variable cost of the rental is 31.67x. The total cost is the sum of the fixed and variable costs. This value should not be more than $500. The equation below shows the relationship.
130 + 31.67x ≤ 500
Solving for x gives x ≤ 11.68
Thus, the maximum number of days to rent the car is only 11 days.
Answer:
One solution.
Step-by-step explanation:
Step 1: Write equation
5(x + 2) - 3 = 3x - 8x + 7
Step 2: Solve for <em>x</em>
<u>Distribute 5:</u> 5x + 10 - 3 = 3x - 8x + 7
<u>Combine like terms:</u> 5x + 7 = -5x + 7
<u>Add 5x to both sides:</u> 10x + 7 = 7
<u>Subtract 7 on both sides:</u> 10x = 0
<u>Divide both sides by 10:</u> x = 0
Step 3: Check
<em>Plug in x to verify if it's a solution.</em>
5(0 + 2) - 3 = 3(0) - 8(0) + 7
5(2) - 3 = 7
10 - 3 = 7
7 = 7
Answer:
9.8
Step-by-step explanation:
