All categories

4 years ago

Need help of simplifying each sum or difference

Mathematics

1 answer:

dimaraw [331]4 years ago

6 0

First you need to get a common denominator. The first two problems already have a common denominator, so you just have to find the sum and difference of the two problems, respectively.

6.) (9y-3)/(y^2-5)

8.) 3/xy^3

Two find a common denominator, find the smallest value that has BOTH denominators as factors.

10.) 8x^3*y^3 is the common denominator

Answer: 2/(8*x^3*y^3)

12.) Factor x^2 + 4x + 4 to get (x+2)(x+2)

Therefore, x+2 is already part of x^2 + 4x + 4

(x+4)/(x^2+4x+4)

14.) Factor both denominators..

4(y+2) and y(y+2)

So the common denominator would be 4y(y+2)

The first fraction is missing a "y" so multiply the numerator by y to get y^2

The second fraction is missing a "4" so multiply the numerator by 4 to get 4

(y^2 - 4)/(4y(y+2))

So can factor the numerator to get (y+2)(y-2). There if a (y+2) on top and bottom so they cancel out.

Answer: (y-2)/4y

You might be interested in

Jen has 3 bags of pears. If Jen gives the same number of pears to 4 friends. How many pears will each friend get

NISA [10]

Answer:

Each friend will get 3 pears.

Step-by-step explanation:

The question is incomplete and the complete question is:

Jen has 3 bags of pears. Each bag has 5 pears. If Jen gives the same number of pears to 4 friends, how many pears will each friend get?

Now, to find the number of pears each of the 4 friends get:

So, as given:

Number of bags of pears = 3.

Number of pears each bag has = 5.

Thus:

Total number of pears = $3\times 5=15.$

Total number of friends = 4.

So, to get the number of pears each get we divide total number of pears by total number of friends:

$15\div 4$

$=3.75.$

Thus, if Jen gives same number pears to 4 friends 3 pears each will get.

Therefore, each friend will get 3 pears.

6 0

3 years ago

Anne and Andy sell pizza by the slice. Anne made 7 pizzas, and sold 5/12 of each pizza. Andy made 5 pizzas, and sild 7/12 of eac

gulaghasi [49]

Answer:

No, they both sold equal amount of pizza

Step-by-step explanation:

In this question, we are concerned with knowing who sold more pizza between Anne and Andy.

Let’s have what each individual sold then make a comparison.

Anne made 7 and sold 5/12 of each. Total of what was sold by Anne would be 7 * 5/12 = 35/12

Andy made 5 and sold 7/12 of each. Total sold by Andy would be 5 * 7/12 = 35/12

Looking at the answers we can see that they are equal to same 35/12. This means they both sold equal amount of pizza

6 0

3 years ago

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?

Andrew [12]

Answer:

$3x + 13y = 14$

$6x + 11y = -2$

Step-by-step explanation:

See Attachment for complete question

To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;

Given that

$(x,y) = (-4,2)$

Testing Option A

$3x + 13y = 14$

$6x + 11y = -2$

Substitute $x = -4$ and $y = 2$ in $3x + 13y = 14$

$3(-4) + 13(2) = 14$

Open Brackets

$-12 + 26 = 14$

$14 = 14$

Substitute $x = -4$ and $y = 2$ in $6x + 11y = -2$

$6(-4) + 11(2) = -2$

Open Brackets

$-24 + 22 = 2$

$2 = 2$

In both cases, the expression on the right hand side equates to that on the left hand side;

Hence, there's no need to check for other options.

8 0

4 years ago

Please help i dont understand this

nlexa [21]

Answer:

Equation is 7x^2 – 5x + 2

comparing with a,b and c

a = 7

b= –5

c = 2

3 0

3 years ago

Plz help! ASAP! What is the expression shown below

astra-53 [7]

we are given

$\frac{1}{2} (\frac{3}{2} x+6x+1)-3x$

step-1: Simplify expression inside parenthesis

we will combine like terms

so, firstly we will take common denominator

$\frac{1}{2} (\frac{3}{2} x+\frac{2*6}{1*2}x+1)-3x$

$\frac{1}{2} (\frac{3x+12x}{2} +1)-3x$

$\frac{1}{2} (\frac{15x}{2} +1)-3x$

step-2: Distribute 1/2 inside

$=\frac{1}{2} *\frac{15x}{2} +1*\frac{1}{2}-3x$

$=\frac{15x}{4} +\frac{1}{2} -3x$

step-3: Combine like terms

$=\frac{15x}{4}+3x +\frac{1}{2}$

We can find common denominator

$=\frac{15x}{4}-\frac{4*3x}{4*1} +\frac{1}{2}$

$=\frac{15x}{4}-\frac{12x}{4} +\frac{1}{2}$

$=\frac{15x-12x}{4} +\frac{1}{2}$

$=\frac{3x}{4} +\frac{1}{2}$

we can also write it as in mixed form

$=\frac{3}{4}x +\frac{1}{2}$

so, we will get

$\frac{1}{2} (\frac{3}{2} x+6x+1)-3x=\frac{3}{4}x +\frac{1}{2}$

option-C.............Answer

5 0

4 years ago