<span>Y is directly proportional to x^2. It could be represented by the expression:
y </span>α x^2
We can make it into an equality by inserting the proportionality constant, k.
y = kx^2
k would be constant for any value of y with a corresponding value of x. We solve the problem by this concept as follows:
y1/(x1)^2 = y2/(x2)^2
10/(x1)^2 = y2/(x1/2)^2
10/4 = y2
Therefore, when the value of x is halved, y is equal to 10/4.
Answer:
The cost to rent each chair and each table are $1.5 and $8.75 respectively
Step-by-step explanation:
Let x represent 1 chair
Let y represent 1 table
Therefore
3x + 2y = 22 ------------(1)
5x + 6y = 60 ------------(2)
Multiply (1) by 5 and (2) by 3
15x + 10y = 110 ----------(3)
15x + 18y = 180 ------------(4)
Subtract (3) from (4)
8y = 70
Divide through by 8
y = $8.75
Substitute y = 8.75 in (1)
3x + 2y = 22
3x + 2(8.75) = 22
3x + 17.5 = 22
Collect like terms
3x = 22 - 17.5
3x = 4.5
Divide through by 3
x =$1.5
Answer:
The area of this rectangle is 72x^5
Step-by-step explanation:
A = l ∙ w
Let, l = length
Let, w = width
Step 1: Substitute the length and width for the two given values
1. A = (12x³)(6x²)
Step 2: Multiply
1. A = 72x^5
Answer:
I'm not sure what 15y3 is, but I'll take a guess.
If the only numbers are 15, 3, and -40, then the greatest common factor is 1.
If the only numbers are 15 and 3, then it's three.
If the only numbers are 15 and -40, it would be 5.
Answer:
4/1 or 4
Step-by-step explanation:
