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almond37 [142]
2 years ago
13

Write the expression 5x(x+9) -7(x+9) in complete factored form.​

Mathematics
2 answers:
tia_tia [17]2 years ago
6 0
5x^2 + 45 - 7x - 63 which simplifies to 5x^2 -7x -18?
sdas [7]2 years ago
3 0
<h3>Answer:</h3>

(5x-7)(x-9)

<h3>Step-by-step explanation:</h3>

Factoring is the inverse of the distributive property. This means that we want to find the factors, not the product.

Partial Factoring

The expression we are given has already been factored to an extent. Both terms are split into 2 different factors. This was done by factoring out the greatest common factor (GCF) from both terms. In the first term, the GCF was 5x, and in the second, the GCF was -7.

Complete Factoring

Even though it was partially factored, we can factor it more. When given the situation:

  • a(x + y) - b(x + y)

The expression can be factored into:

  • (a - b)(x + y)

You can add (subtract in this case because 7 is negative) the values from outside the parentheses together. This term can then be multiplied by the value within the parentheses.

Thus, 5x(x+9) -7(x+9) can be factored into:

  • (5x-7)(x-9)

Remember this trick only works when both terms share a factor like (x-9).

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Adrian has a points card for a movie theater.
ANEK [815]

Answer: v ≥ 6

This means that Adrian needs to do at least 6 visits.

Step-by-step explanation:

First, we know that he gets 20 points just for signing up, so he starts with 20 points.

Now, if he makes v visits, knowing that he gets 2.5 points per visit, he will have a total of:

20 + 2.5*v

points.

And he needs to get at least 35 points, then the total number of points must be such that:

points ≥ 35

and we know that:

points = 20 + 2.5*v

then we have the inequality:

20 + 2.5*v  ≥ 35

Now we can solve this for v, so we need to isolate v in one side of the equation:

2.5*v ≥ 35 - 20 = 15

2.5*v ≥ 15

v ≥ 15/2.5 = 6

v ≥ 6

So he needs to make at least 6 visits.

6 0
3 years ago
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notsponge [240]

Answer:

yes

Step-by-step explanation:

7 0
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Answer:

58

Step-by-step explanation:

All three angles of a triangle have to add up to 180. Given this we can do the following problem:

180-34-88 = 58

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