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Cloud [144]
2 years ago
12

Number of learners in a class of 45 if x are absent ​

Mathematics
1 answer:
GalinKa [24]2 years ago
7 0

Answer:

45 - x

Step-by-step explanation:

Number of learners is number in class minus those absent , that is

number of learners = 45 - x

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When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F
aleksandr82 [10.1K]

Let x be the unknown number. So, three times that number means 3x, and the square of the number is x^2

We have to sum 528 and three times the number, so we have 528+3x

Then, we have to subtract this number from x^2, so we have

x^2-(3x+528)

The result is 120, so the equation is

x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0

This is a quadratic equation, i.e. an equation like ax^2+bx+c=0. These equation can be solved - assuming they have a solution - with the following formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

If you plug the values from your equation, you have

x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}

So, the two solutions would be

x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27

x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24

But we know that x is positive, so we only accept the solution x = 27

6 0
3 years ago
I need help anyone know
kaheart [24]

Answer:

yes ur correct its nonlinear lol

Step-by-step explanation:

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3 years ago
What is the absolute value of 0
Ainat [17]
The absolute value of zero is zero
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Find the missing side. Round your answer to the nearest tenth.
nikdorinn [45]

Answer:

sin\left(90\right)/x=sin\left(25\right)/16

x = 37.85

Step-by-step explanation:

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2 years ago
Marilyn gets $7 a week for doing chores. She wants to buy a $38 book. How many weeks does she need to do chores?
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Answer:

5

Step-by-step explanation:

5 0
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