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2 years ago

Divide -2^3-5x^2+4x+2 by x+2

Mathematics

2 answers:

aleksklad [387]2 years ago

6 0

The answer is 5. have a nice day

salantis [7]2 years ago

4 0

Answer:

Answer: 5

Step-by-step explanation:

÷-2÷3-5×÷2+4×+2 ×+2 = 5.1666667

thats is correck keep safe and good luck

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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

If the cube has a side length of 12 inches, what is the surface area of the cube?

Ne4ueva [31]

The equation for surface area on a cube is 6 * L^2, where L is side length. Essentially, six squares of equal size
12^2=144
6 * 144=864
I hope you found this both helpful and explanatory

8 0

3 years ago

What is 8 4/5 - 1 2/4

Alexus [3.1K]

Answer:

8 $\frac{4}{5}$ - 1 $\frac{2}{4}$ = $7 \frac{3}{10}$

Step-by-step explanation:

Convert the mixed number to improper fractions, then find the LCD ( least common denominator ) and combine.

You can write your answer in -

Exact Form :

$\frac{73}{10}$

Decimal Form :

7.3

Hope this helps!

Davinia.

3 0

3 years ago

Ms.Rochelle wants to put her 29 students into groups of 6.how many groups of 6 can she make if she puts any remaining students i

just olya [345]

7 groups 6 groups of 4 and 1 group of five.

Step-by-step explanation:

I took 29 dots and split them up into 6 groups and had a remander or 5.

7 0

3 years ago

Quick! Need the answer, will give brainiest

Zinaida [17]

Your selection is correct.

A good way to solve these problems is to first figure out the system if the functions were regular equalities. Then, to determine which direction the inequality sign goes, ask whether the graph is shaded above or below y. For above, that means y is greater than... below, less than. A solid line means greater/less than or equal to.

3 0

3 years ago

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