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Veseljchak [2.6K]
3 years ago
8

How do I solve 12x^2-89x-56 factor by grouping

Mathematics
1 answer:
Alex777 [14]3 years ago
7 0
Use ac method

multiply 12 and -56
-672
now find what 2 factors of -672 add to -89
answer is -96 and 7

expand the middle term like that
12x²-96x+7x-56
group
(12x²-96x)+(7x-56)
factor
12x(x-8)+7(x-8)
undistribute the (x-8)
(x-8)(12x+7) is answer
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What is the domain and range of the function y = 2x2 - 4x - 10?
11111nata11111 [884]

Answer:

Step-by-step explanation:

The domain of all polynomials is all real numbers.  To find the range, let's solve that quadratic for its vertex.  We will do this by completing the square.  To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out.  That gives us:

2(x^2-2x)=10

The second rule is to take half the linear term, square it, and add it to both sides.  Our linear term is 2 (from the -2x).  Half of 2 is 1, and 1 squared is 1.  So we add 1 into the parenthesis on the left.  BUT we cannot ignore the 2 sitting out front of the parenthesis.  It is a multiplier.  That means that we didn't just add in a 1, we added in a 2 * 1 = 2.  So we add 2 to the right as well, giving us now:

2(x^2-2x+1)=10+2

The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form.  Completing the square gives us a perfect square binomial on the left.

x^2-2x+1=(x-1)^2 and on the right we will just add 10 and 2:

2(x-1)^2=12

Now we move the 12 back over by subtracting and set the quadratic back to equal y:

2(x-1)^2-12=y

From this vertex form we can see that the vertex of the parabola sits at (1,-12).  This tells us that the absolute lowest point of the parabola (since it is positive it opens upwards) is -12.  Therefore, the range is R={y|y ≥ -12}

4 0
3 years ago
I would apreciate an answer <3.
zheka24 [161]
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3 0
2 years ago
Read 2 more answers
Factor the expression 26x + 13
bogdanovich [222]
Answer
Factor 13 out of 26x+13
= 13( 2x+1)
6 0
3 years ago
The perimeter of parallelogram WXYZ is 2 square roots of 26+ units
lord [1]
The formula for solving perimeter of a parallelogram is P=2(a+b) where "a" is for the altitude and "b" for the base. From the give figure, we can determine both a and b values as enumerated below,
a=5
b=4
We can solve for P as shown below,
P=2(5+4)
P=18 unit.
Therefore, the perimeter is equal to 18. 


I hope this helps, have a great day, and God bless.
Brainliest is always appreciated :)
8 0
3 years ago
Which is most likely the correlation coefficient for the set
Vanyuwa [196]

Answer:-.21

Step-by-step explanation:

6 0
3 years ago
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