Answer:
As we know:
Direct variation => y = k*x, k is constant ( y/x = k = constant)
Inverse variation => y = k/x, k is constant (y*x = k = constant)
X - 1 2 5 10
Y - 6 12 30 60
Check the first 2 pair of X, Y:
(the remaining pair of value would show the same tendency)
X1 x Y1 = 1 x 6 = 6
X2 x Y2 = 2 x 12 = 24
=> X x Y is not a constant
=> Not an inverse variation.
=> B and D is incorrect
Otherwise, we have:
Y1/X1 = 6/1 = 6
Y2/X2 = 12/2 = 6
=> Y/X = 6
=> A direct variation with k = 6
=> y = 6x
=> Option C is correct
Hope this helps!
:)
The inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10
<h3>Graph of Inequality</h3>
From the question, we are to determine the inequality that represents the graph
First, we will assume the inequality is a straight line and we will determine the equation of the line
From the graph, we have two points on the line
(0, -2) and (5, -1)
Using the formula for the equation of a line with two given point
(y - y₁)/(x -x₁) = (y₂ - y₁)/ (x₂ - x₁)
x₁ = 0
y₁ = -2
x₂ = 5
y₂ = -1
Thus,
(y - -2)/(x - 0) = (-1 - -2)/ (5 - 0)
(y +2)/(x - 0) = (-1 + 2)/ (5 - 0)
(y +2)/(x ) = 1/ 5
5(y + 2) =1(x)
5y + 10 = x
5y = x - 10
y = 1/5(x) - 2
y = x/5 - 2
Now,
Since the solution is below the line and the line is dotted
The inequality becomes
y < x/5 -2
OR
5y < x - 10
Hence, the inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10
Learn more on Graph of Inequality here: brainly.com/question/17106134
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Answer:
9
Step-by-step explanation:
they said that m=6 which you can plug in into the problem, now that you know what 'm' is. It will look like this:
6/2 + 6 = ?
6 divided by 2 = 3 so it'll look like this
3 + 6 = 9
<u><em>Answer:</em></u>
Scott will need 168 ft² of pavers to cover his patio
<u><em>Explanation:</em></u>
Scott wants to cover a trapezoid-shaped patio
<u>This means that:</u>
To get the number of square feet of pavers he'll need, we need to get the area of his patio
<u>Area of trapezium id calculated as follows:</u>
<u>We are given that:</u>
base₁ = 11 ft
base₂ = 13 ft
height = 14 ft
<u>We now substitute with the givens to get the area as follows:</u>
<u>This means that:</u>
Scott will need 168 ft² of pavers to cover his patio
Hope this helps :)
Muliply 65 and 0.12 and get 7.8
Subtract 65-7.8 to get marked down price
57.2 is the price after markdown
