Method 1:
Convert the mixed number to the improper fraction:

Make the product:

<em>canceled 2</em>

Method 2:


<em>use the distributive property a(b + c) = ab + ac</em>

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
143 seats
because 2920 seats/20 sections=143 seats in each section
Answer:
x-intercepts = (x ≈ -0.87), (x ≈ 6.87)
Step-by-step explanation:
let x = 0, in equation for x-intercepts
solve for x using the
quadratic formula
x = <u>−6 ± √ 36 + 24 </u>
2x
= <u>−6 ± √60</u>
−2x
= <u>−6 ± 2 √ 15</u>
−2 = 3 ± √15