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3 years ago

Solve for x. Write both solutions, separated by a comma. 9x^2-6x-8=0 please help me

Mathematics

1 answer:

krek1111 [17]3 years ago

3 0

Answer:

(-0.667,0), & (1.333,0)

Step-by-step explanation:

The equation creates two parallel lines on a graph that both have x-intercepts of (-0.667,0) & (1.333,0). So x = (-0.667,0), (1.333,0).

Hopefully this helps & gets brainliest.

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X^3-8/x-2<br> simplify and I need an explanation please

Sergeu [11.5K]

Answer: $x^2+2x+4$

Step-by-step explanation:

The expression given in the exercise is:

$\frac{x^3-8}{x-2}$

If you descompose the number 8 into its prime factors, you get that:

$8=2*2*2=2^3$

Therefore, you can rewrite the numerator of the expression as following:

$=\frac{(x^3-2^3)}{(x-2)}$

For this exercise you need to remember that for a Difference of cubes:

$a^3-b^3=(a-b)(a^2+ab+b^2)$

Then, applying this, you get:

$=\frac{(x-2)(x^2+2x+2^2)}{(x-2)}=\frac{(x-2)(x^2+2x+4)}{(x-2)}$

Now, it is necessary to remember the following:

$\frac{a}{a}=1$

Knowing the above, you can say that:

$\frac{(x-2)}{(x-2)}=1$

Therefore applying this, you get that the simplified expression is:

$=x^2+2x+4$

8 0

3 years ago

What is the reciprocal of -2 3/8

Juliette [100K]

So the answer is 8/19

7 0

3 years ago

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I need help on this problem

Alex787 [66]

x= temperature increase

1) 74+x

2)74+13=87

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4 years ago

Can someone help me with these kind of fractions<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20of%20%5Cfrac%7B2%

elena-s [515]

Answer:

$\frac{2}{6}$ or $\frac{1}{3}$

Step-by-step explanation:

To find a fraction of a fraction simply multiply the numerators and denominators into another fraction:

$\frac{1}{2}*\frac{2}{3} = \frac{2}{6} = \frac{1}{3}$

4 0

2 years ago

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The sum of two numbers is 20 and the difference is 12. What are the numbers?

svetlana [45]

Answer:

1) A system of two linear equations to represent this problem

x+y=20 and x-y=12

2) The numbers are x=16 and y=4

Step-by-step explanation:

Let x and y be the two numbers

Given that the sum of the two numbers is 20

That is $x+y=20\hfill (1)$

and the difference is 12

That is $x-y=12\hfill (2)$

1) A system of two linear equations to represent this problem

$x+y=20\hfill (1)$

$x-y=12\hfill (2)$

2). Noe Solve the system to find the 2 numbers:

Adding the equations (1) and (2) we get

$x+y=20$

$x-y=12$

_____________

2x=32

$x=\frac{32}{2}$

Therfore x=16

Now substitute x=16 in equation (1) we get

$16+y=20$

$y=20-16$

Therefore y=4

Therefore the numbers are x=16 and y=4

4 0

3 years ago