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iris [78.8K]
2 years ago
13

Simplify: x^2-49

Mathematics
2 answers:
rosijanka [135]2 years ago
7 0
You want to use the reverse FOIL method to break up the equation. (front, outer, inner, last) When you do this, you can simplify the equation down to (x+8)*(x-7). That is equivalent to x^2+8x-7x-56 or x^2+x-56. 
Softa [21]2 years ago
5 0
For x^2-49
this is a diffarence of two perfect squares.  I suggest that this is memorised.
a^2-b^2=(a-b)(a+b)
so x^2-7^2=(x-7)(x+7)

so to solve x^2+x-56 you want to find out what two numbers add to 1 and multiply to make -56
since -56 is negative we know that the two number are difarent signs so that eliminatess answers B and D.
if we try answer C -8+7=-1 so the answer is not C because we want +1 not -1
then we see that 8+(-7)=1 so the answer is A
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Question 2 (essay worth 10 points)
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The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R) is {JPR, JRP, PJR, PRJ, RJP, RPJ}.

<h3>What is permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Minni is arranging 3 different music CDs in a row on a shelf.

Three CDs are a jazz cd (j), a pop cd (p), and a rock cd (r).

The sample space means all the possible ways to arrange the CDs.

Total arramgement = 3! = 3×2×1 = 6

The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R) is:

{JPR, JRP, PJR, PRJ, RJP, RPJ}

Thus, the sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R) is {JPR, JRP, PJR, PRJ, RJP, RPJ}.

Learn more about permutation and combination here:

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We know that the equation 'y = 3x + ?' intersects the point (1, -2). This means that when x = 1, y = -2 in out equation above. To solve this just plug in the x and y values to get '?'.

y = 3x + ?\\-2 = 3(1) + ?\\-5 = ?

Now that we know '?' is -5, we write it back into slope intercept form, so our final answer is y = 3x - 5

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