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juin [17]
3 years ago
13

What is the positive solution of x^2 – 36 = 5x

Mathematics
2 answers:
Radda [10]3 years ago
6 0

Answer: 9

Step-by-step explanation:

The equation x^2 - 36 = 5x is a quadratic equation and can be solved thus: x^2 - 36 = 5x x^2 - 5x - 36 = 0 x^2 + 4x - 9x - 36 = 0 x(x + 4) - 9(x + 4) = 0 (x - 9)(x + 4) = 0 x - 9 = 0 or x + 4 = 0 x = 9 or x = -4 Therefore, the positive solution of x^2 - 36 = 5x? is 9.

Cloud [144]3 years ago
5 0

Answer:

x=9, x=-4(rejected)

Step-by-step explanation:

rearrange the equation given then equate it to 0.

do the factorisation cross method. since the question asking for positive value then automatically the negative value will be rejected.

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The town of Madison has a population of 25000 The population is increasing by a factor of 1.12 each year.
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P(t) = 25,000*1.12^t

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N Example 3, the points are(0,3500) and (5,1750). Write an equation that represents the distance y (in feet) remaining after x m
Cerrena [4.2K]

Answer:

<h2>The time needed is 10 months.</h2>

Step-by-step explanation:

The given points are (0, 3500) and (5, 1750).

First, we use the formula below to find the slope of the line

m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }=\frac{1750-3500}{5-0}=\frac{-1750}{5}=-350

Which means the function is deacrasing with a ratio of 350 feet per month.

Now, we use the slope and one point to find the equation

y-y_{1} =m(x-x_{1} )\\y-1750=-350(x-5)\\y=-350x+1750+1750\\y=-350x+3500

This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.

0=-350x+3500\\-3500=-350x\\x=\frac{-3500}{-350}\\ x=10

Therefore, the time needed is 10 months.

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3 years ago
Triangle ptg has side lengths of 18 27 cm and 13 cm what type of triangle is it
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