Answer: Yes, y does vary directly with x.
Constant of variation = 1/4
The function rule is y = (1/4)x
=========================================================
Explanation:
Let's assume that y does vary directly with x.
If that's the case, then we have an equation in the form y = kx, where k is the constant of variation.
Solving for k gets us k = y/x
For each row, divide the y value over the x value
- row one: k = y/x = 14/56 = 0.25
- row two: k = y/x = 20/80 = 0.25
- row three: k = y/x = 22/88 = 0.25
Each row yields the value k = 0.25 and it fully confirms y does vary directly with x.
So y = kx becomes y = 0.25x as the function rule, which is equivalent to y = (1/4)x
First solve the equation by dividing 5 on both sides...
Y = 5\2x + 2
Now we want perpendicular and the line to flip across the axis so the answer is....
Y = -2\5 + 2
Answer:
I think-
1. 11
2. 0.7
3. 67.89
4. 13
Step-by-step explanation:
I'm not 100% sure tho
Answer:
Step-by-step explanation:
Here are the steps to follow when solving absolute value inequalities:
Isolate the absolute value expression on the left side of the inequality.
If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.
If your problem has a greater than sign (your problem now says that an absolute value is greater than a number), then set up an "or" compound inequality that looks like this:
(quantity inside absolute value) < -(number on other side)
OR
(quantity inside absolute value) > (number on other side)
The same setup is used for a ³ sign.
If your absolute value is less than a number, then set up a three-part compound inequality that looks like this:
-(number on other side) < (quantity inside absolute value) < (number on other side)
The same setup is used for a £ sign
Answer: 12
Step-by-step explanation:
Given:
A = 452
r = √A/3
Step 1: Substitute 452sqf for A
r = √452/3
Step 2: Solve
452 ÷ 3 = 150.66∞
√150.66∞ = 12.27∞
12.27∞ rounded to the nearest integer equal 12
