Answer:
-2
Step-by-step explanation:
Equation of slope intercept form
y = (slope × x) + y intercept
Answer:
Yes, each x-value has a unique y-value.
Step-by-step explanation:
This is a function because each x-value has its own y-value. If this is not the case then it is not a function, because then, two points with the same x-value and different y-values would fail the VLT.
Your graph does not have overlaps and each x-value has a unique y-value
VLT
The vertical line test (VLT) is a <u>simple method that mathematicians made because</u><u> they were lazy</u><u> to make a table of values and find duplicates. </u>
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- Passing the VLT means that if you drew a vertical line anywhere on the graph, it would only go through one point.
- Failing the VLT would mean that the vertical line
A quick way to check if it is a function is by looking for duplicates of x-values and check that the duplicates have the same y-value.
-Chetan K
Images/Examples
Answer: 44%
Step-by-step explanation:
For a circle of radius R, the area is written as:
A = pi*R^2
Where pi = 3.14
If we increase the radius by 20%, the new radius will be:
R´ = R + 0.20*R = 1.20*R
The new area will be:
A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2
= 1.44*pi*R^2
And pi*R^2 = A, the original area, then_
A´ = 1.44*A = A + 0.44*A
This means that the percentage in which the area increased is:
0.44*100% = 44%
74% means 0.74
"of" means "times"
So, 128 = 0.74 times (the number)
Divide each side of this equation by 0.74 :
128/0.74 = the number
<em>172.973</em> (rounded) = the number
Answer:
124
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180:
m<R + m<S + m<T = 180
11x + 3 + x + 15 + 2x + 8 = 180 add like terms
14x + 26 = 180 subtract 26 from both sides
14x = 154 divide both sides by 14
x = 11 to find m<R replace x with 11
11*11 + 3 = 124