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2 years ago

May someone help me with this factor equation?

Mathematics

1 answer:

raketka [301]2 years ago

6 0

Answer:

$\frac{x^2+8x+9}{(x+3)(x-1)}$

Step-by-step explanation:

$\frac{2x}{x^2+2x-3}$ + $\frac{x+3}{x-1}$ ← factor the denominator of first fraction

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

Before adding we require the denominators to be the same

Multiply numerator/denominator of second fraction by (x + 3)

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

Add the numerators leaving the common denominator ( LCD = (x + 3)(x - 1) )

= $\frac{2x+(x+3)(x+3)}{(x+3)(x-1)}$ ← expand factors on numerator using FOIL

= $\frac{2x+x^2+6x+9}{(x+3)(x-1)}$

= $\frac{x^2+8x+9}{(x+3)(x-1)}$

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A group of 500 transistors is known to contain one defective unit. What is the probability that a transistor selected at random

sergejj [24]

The answer is 1/500 because it will always be the probability of the event occurring/total events

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3 years ago

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Given: 2x + 11 = 15 Prove: x = 2 Statements Reason 1. 2x + 11 = 15 1. Given 2. 2x = 4 2. 3. X = 2 3. Division Property of Equali

wariber [46]

Answer:

Statements Reasons

1. 2x + 11 = 15 1. Given

2. 2x = 4 2. Subtraction Property of Equality

3. X = 2 3. Division Property of Equality

Step-by-step explanation:

An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.

Begin your proof listing the any information given to you. List as the reason - Given.

Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.

Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.

Statements Reasons

1. 2x + 11 = 15 1. Given

2. 2x = 4 2. Subtraction Property of Equality

3. X = 2 3. Division Property of Equality

6 0

3 years ago

Read 2 more answers

X/4+10=1 pls help me!

andrew11 [14]

Answer:

x=-36

Step-by-step explanation:

x/4+10=1

x/4= -9

x= -36

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3 years ago

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Water evaporates from a pond at aa rate of 0.005 inches per hour. What is the change in the water level of the pond after 24 hou

Eduardwww [97]

Answer:

Water level after 24 hours will be $\frac{3}{25}\ inches$ .

Step-by-step explanation:

Given:

Evaporate rate of water= 0.005 inches per hour.

We need to find the level of water after 24 hours.

now we know the in 1 hour the water evaporates from a pool at a rate of 0.005 inches.

So To find the water level after 24 hrs we will multiply the evaporation rate with total number of hours which is 24 and the divide by 1 hour we get.

Framing in equation form we get;

water level after 24 hrs = $\frac{24 \times 0.005}1 = 0.12\ inches$

Now to convert the number in rational form we have to multiply and divide the number by 100 we get;

$\frac{0.12\times 100}{100} = \frac{12}{100}=\frac{3}{25}\ inches$

Hence Water level after 24 hours will be $\frac{3}{25}\ inches$ .

5 0

3 years ago

Cv0627

kari74 [83]

Answer:

dr. potter provides 54 vaccinations TOTAL (including both measles and polio).

p+m=54

since there are 4 doses of polio and of measles, you have to use a variable to distinguish how many doses were given for measles and polio out of 142 given doses.

4p+2m=142

p+m=54

4p+2m=142

^^system of equation

p+m=54

4p+2m=142

p=54-m

4p+2m=142

(substitute 54-m to the equation)

4(54-m)+2m=142

m=37

(collect like terms, then substitute the value of m into the first equation)

p=54-37

p=17

(m, p)=(37, 17)

Step-by-step explanation:

i hope this helps, sorry for the wait

5 0

3 years ago