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Margaret [11]
3 years ago
6

Completely factor each of the given polynomials. If a polynomial cannot be factored, write "not factorable."

Mathematics
1 answer:
Art [367]3 years ago
6 0
4x^2+23x+15=0
Δ=23^2-4*4*15=529-240=289

x1= (-23+17)/8=-6/8= -3/4
x2= (-23-17)/8=-5

4x^2+23x+15= 4(x+3/4)(x+5)=(4x+3)(x+5)
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Two numbers multiply to be -7 and add to be -6. What are the numbers?<br><br> Example; 2,3
rewona [7]

<u>Given</u>:

Let the two numbers be x and y.

Two numbers multiply to be -7 and add to be -6.

This can be written in equation as,

xy=-7 and

x+y=-6

<u>Value of the two numbers:</u>

Let us determine the value of the two numbers using substitution method.

Substituting y=-6-x in the equation xy=-7, we get;

x(-6-x)=-7

Simplifying, we get;

       -6x-x^2=-7

   x^2+6x-7=0

(x+7)(x-1)=0

x=-7, 1

Thus, the values of x are x = 1,-7

When x = 1 , the equation x+y=-6 becomes y=-7

When x = -7, the equation x+y=-6 becomes y=1

Therefore, the two numbers are 1 and -7

3 0
3 years ago
Rational numbers with distribute property
Svetradugi [14.3K]

I'm not sure what this means. If you have choices you should list them.

(1/2)*(1/4 + 1/6) is an example of what should be given. There are two ways to solve this.

1. Use the distributive property.

1/2*1/4 + 1/2* 1/6

1/8 + 1/12 Which can be added using the LCD of 24

3/24 + 2/24 = 5/24

Method 2

Add what is inside the brackets first.

1/2 ( 1/4 + 1/6)

1/2(3/12 + 2/12 = 5/12

Now multiply by 1/2

1/2(5/12) = 5*1/(12 * 2) = 5 / 24 Same answer.

4 0
3 years ago
What’s the slope for these two lines
Leni [432]

Answer:

answer in comments

Step-by-step explanation:

4 0
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Vary hard 11th grade test paper
8_murik_8 [283]
Omg thx for the points ;)
4 0
3 years ago
Which equation could have been used to create this graph?
pishuonlain [190]
B. The y-intercept is 0 so it can't be C or D and the slope is 5/1. How I remember this is rise/run. Hope this helps!
3 0
3 years ago
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