Answer: Yes, y does vary directly with x.
Constant of variation = 1/4
The function rule is y = (1/4)x
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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
Answer:
f(x)=|x−13|+11
To find the x
coordinate of the vertex, set the inside of the absolute value x−13 equal to 0. In this case, x−13=0
.
x−13=0
Add 13
to both sides of the equation.
x=13
Replace the variable x
with 13
in the expression.
y=|(13)−13|+11
Simplify |(13)−13|+11
.The absolute value vertex is (13,11)
hope this helps ;)
I can’t really help you I’m sorry I don’t really know the answer but I do need points thank you byeAdios
Answer:
Step-by-step explanation:
The answer is D. Easy way to tell, the less than or equal to sign indicates a solid line in the graph. Equal=solid line. Also when you solve for y, the slope of the line (-2/3)is negative, indicating a line sloping downward.
First convert the rate into a decimal.
8/100=0.08
Next put all those numbers 15,000, 0.08, and 6 into the equation A=P(1+(rt)).
This is how you do it.
A=15,000(1+(0.08*6))
A=15,000(1+0.48)
A=15,000(1.48)
A=22,200
