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3 years ago

PLEASE HELP ASAP!!(SHOW ALL STEPS) Determine the factors x2y + 3x2 + 3y + 9

Mathematics

2 answers:

krok68 [10]3 years ago

8 0

Answer:

(y+3) (x^2+3)

Step-by-step explanation:

x^2y + 3x^2 + 3y + 9

I will factor by grouping

Taking the first two terms I can factor out x^2

Taking the last two terms I can factor out 3

x^2y + 3x^2 + 3y + 9

x^2(y+3) + 3(y+3)

Now I can factor out (y+3)

(y+3) (x^2+3)

Since(x^2+3) and (y+3) cannot be factored , this is completely factored

Mars2501 [29]3 years ago

6 0

Answer:

(y+3) (x^2+3)

x^2y + 3x^2 + 3y + 9

grouping

x^2y + 3x^2 + 3y + 9

x^2(y+3) + 3(y+3)

(y+3) (x^2+3)

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What is the unit rate for 0.75

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Answer:

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Step-by-step explanation:

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3 years ago

If O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6 , find the values of x and y for which LMNO must be a paralle

posledela

Answer:

$x=12\\y=\frac{13}{3}$

Step-by-step explanation:

For it to be a parallelogram, opposite sides have to be of same length.

OL = NM, and
ON = LM

Using the expressions given, we can make 2 equations:

Equation 1:

$OL=NM\\3y-6=x-5\\-x+3y=1$

Equation 2:

$ON=LM\\8x-8=7x+4\\$

Solving equation 2, we have x:

$8x-8=7x+4\\8x-7x=4+8\\x=12$

Plugging this value of x into equation 1, we can solve for y:

$-x+3y=1\\-(12)+3y=1\\-12+3y=1\\3y=13\\y=\frac{13}{3}$

So,

$x=12\\y=\frac{13}{3}$

7 0

3 years ago

birute deposite $500 In a savings account with a simple interest rate of 1.3% . how could you use this information to find the i

vladimir2022 [97]

Money Birute deposited in a savings account = $500

Rate of simple interest per annum = 1.3%

▪︎We need to find the interest she will earn in 4 years.

We know that :

$\tt \: \color{hotpink}simple \: interest \color{plum}= \frac{principal \times rate \times time}{100}$

In this case :

Principal = $500

Rate = 1.3%

Time = 4 years

Which means :

The simple interest she will earn in 4 years :

$= \tt \frac{500 \times 1.3 \times 4}{100}$

$= \tt \frac{2600}{100}$

$\color{plum} = \tt\bold{\$26}$

Thus, the simple interest she will earn in 4 years = $26

Amount = Principal + Interest

Amount she will gain after 4 years :

$=\tt 500 + 26$

$\color{plum} = \tt\bold{\$526}$

Thus, the amount she will gain after 4 years = $526

Amount change in her account = 526 - 500 = 26

We know that :

$\tt \: \color{hotpink}percentage \: of \: change\color{plum} = \frac{change}{original \: price} \times 100$

Which means :

Percentage of change in her savings account :

$=\tt \frac{26}{500} \times 100$

$=\tt \frac{26 \times 100}{500}$

$= \tt\frac{2600}{500}$

$\color{plum} = \bold{\tt\bold{5.2\%}}$

<h2>○=> Therefore :</h2>

▪︎Simple interest after 4 years = $26

▪︎Money she will earn after 4 years = $526

▪︎Percentage of change in her savings account = 5.2%

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2 years ago