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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).

You might be interested in
(04.05 MC)
nika2105 [10]

Answer:

D

Step-by-step explanation:

Plug in and see.

Check A: Lets plug in (0,3) into y<2/3 x+2.

3<2/3 (0)+2

3<2 is not true so not A

Check C: Lets plug in (3,5) into y<2/3 x+2.

5<2/3 (3)+2

5<2+2

5<4 is not true so not C

Check B: Lets plug in (-3,1) into y<2/3 x+2.

1<2/3 (-3)+2

1<0 is not true so not B

Check D: Lets plug in (1,2) into y<2/3 x+2.

2<2/3 (1)+2

2<2/3+2 is true so D

6 0
3 years ago
-3/4 + (-3/4)<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%203%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B%20-%203%7D%7B4%7D%20
nika2105 [10]

Firstly, since these two fractions have the same denominator, add the numerators up: \frac{-6}{4}

While it appears that the answer is -6/4, you can further simplify it by dividing the numerator and denominator by 2: -\frac{6}{4}\div\frac{2}{2}=-\frac{3}{2}

<u>Your answer is -\frac{3}{2}</u>

3 0
3 years ago
ANSWER FOR BRAINLEST (BEST TO EXPLAIN WILL GET IT)
lina2011 [118]

Answer:

-7g+13

Step-by-step explanation:

b) because combining like terms results in:

g-8g=7g

and

15-2= 13

5 0
2 years ago
please show on graph (with x and y coordinates) state where the function x^4-36x^2 is non-negative, increasing, concave up​
babunello [35]

Answer:

y'' =12x^2 -72=0

And solving we got:

x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}

We can find the sings of the second derivate on the following intervals:

(-\infty Concave up

x=-\sqrt{6}, y =-180 inflection point

(-\sqrt{6} Concave down

x=\sqrt{6}, y=-180 inflection point

(\sqrt{6} Concave up

Step-by-step explanation:

For this case we have the following function:

y= x^4 -36x^2

We can find the first derivate and we got:

y' = 4x^3 -72x

In order to find the concavity we can find the second derivate and we got:

y'' = 12x^2 -72

We can set up this derivate equal to 0 and we got:

y'' =12x^2 -72=0

And solving we got:

x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}

We can find the sings of the second derivate on the following intervals:

(-\infty Concave up

x=-\sqrt{6}, y =-180 inflection point

(-\sqrt{6} Concave down

x=\sqrt{6}, y=-180 inflection point

(\sqrt{6} Concave up

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7By%5E2%7D%7B36%7D%20-1" id="TexFormula1" title="\frac{y^2}{36} -1" alt="\frac{y^2}{36
liraira [26]

Answer:

that's my answer

Step-by-step explanation:

i hope it helps

5 0
3 years ago
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