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andriy [413]
3 years ago
5

Which of the following is the factored form of the given equation?

Mathematics
2 answers:
ozzi3 years ago
5 0
6x^2 + 2x - 8 = 0
2(3x^2 + x - 4) = 0
2(3x + 4)(x - 1) = 0 <===
Marizza181 [45]3 years ago
3 0

Answer:

The correct option is 1.

Step-by-step explanation:

The given equation is

6x^2+2x-8=0

Taking out the common factor.

2(3x^2+x-4)=0

Middle term can be written as 4x-3x, to find the factored form of the given equation.

2(3x^2+4x-3x-4)=0

2(x(3x+4)-(3x+4))=0

2(3x+4)(x-1)=0

The factored form of the given equation is 2(3x+4)(x-1)=0. Therefore the correct option is 1.

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How do u make 33 and one third a fraction
Alina [70]
33 and one third as a fraction would be either 33 1/3 or 100/3
8 0
3 years ago
Read 2 more answers
19) In the xy-plane, what is the y-intercept of the graph of the equation<br> y=3(x-1)(x+2)?
Dahasolnce [82]

Answer:

- 6

Step-by-step explanation:

Given

y = 3(x - 1)(x + 2) ← expand factors using FOIL

  = 3(x² + x - 2) ← distribute by 3

  = 3x² + 3x - 6

To find the y- intercept let x = 0, thus

y = 3(0)² + 3(0) - 6 = 0 + 0 - 6 = - 6

Thus y- intercept = - 6 ⇒ (0, - 6 )

3 0
3 years ago
Dvds are for $24 each,felipe write the expression 4 times 24 to find the costin dollars of buying 4 dvds, how can i rewrite feli
Karo-lina-s [1.5K]
The distributive property states that:

a(b+c)=ab+bc.

or more generally: a(b+c+d)=ab+av+ad.



This is a very useful tool to perform multiplication.

For example, if we want to multiply 7 by 234, we can proceed as follows:

7*234=7(200+30+4)=7*200+7*30+7*4=1400+210+28=1610+28=1638


back to our problem,

4 * 24 = 4(20+4)=4*20+4*4=80+16=96  ($)

So, instead of multiplying 4 by 24, we multiplied 4 by 20 and 4, which is easier, and then added these together.


Answer:  

4 * 24 = 4(20+4)        [=4*20+4*4=80+16=96 ($)]

5 0
2 years ago
Write the coordinate of the intercept
Basile [38]

Answer:

m = 2/3

y-intercept: 2

Explanation:

First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.

This equation should be in the form: Ax + By = C (Standard form)

y = -Ax/B + C/B : y = mx + b (Slope intercept form)

2(6y - 4x) = 24 → 12y - 8x = 24

→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>

<u>8</u>x <u>- 12</u>y = <u>-24</u>

| | |

A B C

Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.

8x - 12y = -24

-8x -8x

(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)

-12y = -8x - 24

×-1 ×-1 ×-1

(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)

12y = 8x + 24

(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)

8 0
2 years ago
What is the volume of the following triangular prism?
Firdavs [7]

Answer:

Step-by-step explanation:

In order to calculate the volume of a triangular prism you need 2 things:

The triangles area and the prism's height.

Any prism's volume can be calculated by multiplying its base area with its height.

The Area of a triangle can be calculated in different ways.

The most used and "normal" way is:

(width * height) / 2

Another way is by using herons formula, which looks like this:

a, b, c = different sides of the triangle (length)

s = (a + b + c) / 2

a = \sqrt{s (s-a)(s-b)(s-c)}

When you have the prism's base area (b_{a}) you just have to multiply:

b_{a}*h=V

(V = volume)

If you have any questions, just ask them in the comments below.

Have a good day! (●'◡'●)

7 0
2 years ago
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