Wright a simple equation :)
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The annual number of cases can be modeled using a quadratic equation y = 14x2 – 9x + 1. the variable x represents the number of years after 2008. the variable y represents the number of pertussis cases in year x. according to the equation, in what year can the county be expected to have 2,619 cases of pertussis?
For an instance, the measure of the angle is represented by y, and the measure of its complement is represented by x. We should write the expression for the problem.
⇒ We can express "eight less" as -8
⇒ We can express "six times its complement" as 6x
The first equation will be
y = 6x - 8
In the second equation, we will describe about the complementary angles. If they add up, the result is 90°. The second equation will be
x + y = 90
Using substitution method, we will find the value of x
x + y = 90
x + 6x - 8 = 90
7x - 8 = 90
7x = 90 - 8
7x = 82
x = 82/7
Using substitution method, we find the value of y
y = 6x - 8
y = 6(82/7) - 8
y = 492/7 - 8
y =
y =
y = 62.3
to the near whole number
y = 62
The measurement of the angle is 62°
⇒ We can express "eight less" as -8
⇒ We can express "six times its complement" as 6x
The first equation will be
y = 6x - 8
In the second equation, we will describe about the complementary angles. If they add up, the result is 90°. The second equation will be
x + y = 90
Using substitution method, we will find the value of x
x + y = 90
x + 6x - 8 = 90
7x - 8 = 90
7x = 90 - 8
7x = 82
x = 82/7
Using substitution method, we find the value of y
y = 6x - 8
y = 6(82/7) - 8
y = 492/7 - 8
y =
y =
y = 62.3
to the near whole number
y = 62
The measurement of the angle is 62°