The Average test score start = 100%
It increases by 10%:
100% = 1
10% = 0.10
1 x 0.10 = 0.1
1 + 0.1 = 1.1
It increases by another 15%
1.1 x 0.15 = 0.165
1.1 + 0.165 = 1.265
Remember to move the place value digit to the right two spaces to make it a percentage
126.5% increase is your answer
hope this helps
Direct variation is y = kx, where k is the constant of variation.
But now it says y varies directly with x2 (or 2x), so now the x in the equation is 2x.
The equation is y = k(2x)
Now you find k.
y = 96 when x = 4.
(96) = k(2*4)
96 = k(8)
k = 12
The equation is now y = 12(2x)
To find the value of y when x=2, plug 2 into the equation you made.
y = 12(2*2)
y = 48
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Now it's with a "quadratic variation," which is the same thing except x is squared.
The equation is y = kx^2
But y varies directly with x2 (same thing as 2x), so now it's y = k(2x)^2.
Now you find k by substituting y and x values that were given.
y = 180 when x = 6
(180) = k(2*6)^2
180 = k(12)^2
180 = k(144)
k = 1.25
k, 1.25, is the constant of variation.
Answer:
Step-by-step explanation:
The vertical displacement function is 
, where 
is measured in meters and 
in seconds. Ball hits the ground when 
. That is:
Whose roots can be found by using the General Formula for Second-Order Polynomials:
Solutions of this polynomial are:
Only the first root is physically consistent.
Answer:
Step-by-step explanation:
Let b= number of people per bus
10b + 5 > 450
10b > 445
b > 44.5
Minimum per bus is 45 students
In (4, 1) 4 represents x, and 1 represents y
y = 3x + 1
1 = 3(4)+1
1 = 12 + 1
1 ≠ 13 ← sides are not equal so (4, 1) is not a solution to y=3x+1
