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ASHA 777 [7]
3 years ago
9

How to factor by grouping

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
6 0
Step1: group the first two terms together 
next step 2:factor out a GFC from each separate binomical
next step 3: factor out the common binomial
Kamila [148]3 years ago
4 0
Put parenthesis:
(2x+16)+(xy+8y)

Find the greatest common factor in between the two terms in each parenthesis:
2(x+8)+y(x+8)

Since the thing in the parenthesis are now the same, you can change their order:
(y+2)(x+8)

The answer is (x+8)(y+2)

Hope this helped!
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Find the average rate of change, in simplest form,<br> of the function over the interval 3 ≤ x ≤ 5
gavmur [86]
The answer to your question that you’re trying to figure out is [3,5]
3 0
1 year ago
Im confusedd, please help??
spayn [35]

Answer:  three sets of value show 3 consecutive increases and they could be the intensities during fourth, fifth, and six visits:

  • 66%, 69%, 72%;
  • 63%, 65%, 67%, and
  • 67%, 72%, 77%

Explanation:


1) The program recommends a constant intensity for 3 visits, which is what the table shows:

Day        Intensisty

1             63%

2            equal ⇒ 63%

3            equal ⇒ 63%


2) Hence, you have to determine the valid sets that meet the recommendation for the fourth, fifth, and six visits, which are the next three.


2) For the next three visits, the program recommensd increasing intensities.


There are three options that show 3 consecutive increases; they are:

  • 66%, 69%, 72%;
  • 63%, 65%, 67%, and
  • 67%, 72%, 77%

Therefore, those are the choices that apply.

4 0
3 years ago
X + 3 = y <br><br> solve for x
alexira [117]
Subtract 3 from each side to isolate the x and you get x=y-3
5 0
2 years ago
Question 1 (1 point)
olga55 [171]

Answer:

1) 2y^{2}+4y-9

2) 18x^{5}y^{4}z

3) 6x^{5}-12x^{4}+9x^{3}

4) 40

5) x^{3}-7x^{2}+3x+36


Step-by-step explanation:

1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

(y^{2}-3y-5)-(-y^{2}-7y+4)=y^{2}-3y-5+y^{2}+7y-4=2y^{2}+4y-9

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

(6xy^{3}z)(3x^{2}yx^{2})=18x^{5}y^{4}z

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

-3x^{3}(-2x^{2}+4x-3)=6x^{5}-12x^{4}+9x^{3}

4) (4a+5)^{2} is a square of a sum, then, by definition you have:

(a+b)^{2}=a^{2}+2ab+b^{2}

Then:

(4a+5)^{2}=(4a)^{2}+2(4a)(5)+5^{2}=16a^{2}+40a+25

The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40

5)  Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:

(x-4)(x^{2}-3x-9)=x^{3}-3x^{2}-9x-4x^{2}+12x+36=x^{3}-7x^{2}+3x+36

6 0
3 years ago
Amanda invests 5000 in a cd at an annual rate of 2%. What will her investment be worth at the end of three years?
Nookie1986 [14]
The equations would be 5000(1+0.02)^3 and the answer is $5306.04
3 0
2 years ago
Read 2 more answers
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