Answer:
(x - 8)(2x + 3)
Step-by-step explanation:
To factor a polynomial of the form
ax² + bx + c,
follow these steps:
1) Multiply ac together.
2) Find 2 factors of ac that add to b. Call these factors p and q.
3) Break up the middle term of the polynomial into px + qx.
4) Factor by grouping.
Now let's follow the steps above with your problem.
You are given the polynomial
2x² - 13x - 24,
so a = 2, b = -13, and c = -24
1) Find ac.ac is the product 2(-24) = -48
2) Now we need to find 2 factors of -48 that add to b, -13.
I know that 48 = 3 × 16, so if we use -16 and 3 for the two numbers, we have
-16 + 3 = -13
and -16 × 3 = -48.
3) Now we break up the middle term of the polynomial, -13x, into -16x + 3x.
The polynomial is now
2x² - 16x + 3x - 24
4) We factor the polynomial by grouping. To factor by grouping, you factor a common factor out of the first 2 terms and factor out a common factor out of the last two terms.
2x² - 16x + 3x - 24 =
= 2x(x - 8) + 3(x - 8)
We now see the common factor of x - 8, so we factor that out.
= (x - 8)(2x + 3)
Answer: (x - 8)(2x + 3)
Answer: 
Step-by-step explanation:
It is important to remember the following:
In this case you can observe in the figure that "x" is an Angle formed by two chords, therefore, you can find its value applying the formula.
Therefore, the value of "x" is this:
Answer:
See below
Step-by-step explanation:
The formula for calculating percent is
% = (cost of item/total cost) × 100 %
% = (cost of item/1875) × 100 %
% = (cost of item/18.75) %
You can use the same formula to calculate the percent for each item in the budget. For example,
Housing: % = 420/18.75 = 22 %
You can do this for each budget item and get the table below.
Hi!
Given:
Multiply both sides by 
<em>Notice the sign was flipped. This is because when you multiply or divide by a negative number, you must always flip the sign!</em>
<u>Now, for the graph:</u>
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For < or > signs, it should be an open circle. For 
or 
signs, it should be closed.
Since 
is less than 6, it should go to the left. Since it's a < symbol, it should be open. Therefore your answer is B.
(looks like you were right!!)
752/12 = 62.66 and since she can't sell a portion of a 12 pack, she sold 62 whole packages and had 2/3 of one remaining, 2/3 of 12 is 8 remaining.
