what is the least common denominator of the rational expressions below? 1/x^2-4/3x^2+15

Answer:

same denominator as 12

2 x 2/ 6 x 2 + 1 x 3/ 4 x 3

4 +3/ 12

= 7/12

Answer:

Answer:

x>9/5

Step-by-step explanation:

2/3x-1/5(+1/5)>1(+1/5)

[add 1/5 on both sides]

2/3x (÷3/2)>6/5 (÷3/2)

[flip 2/3 to 3/2 so that they cancel out]

x>9/5

Answer:

y = 42

Step-by-step explanation:

Since QT is a midsegment then it is half of RS , that is

QT = [tex]\frac{1}{2}[/tex] RS, substitute values

y = [tex]\frac{1}{2}[/tex] (y + 42) ← multiply both sides by 2 to clear the fraction

2y = y + 42 ( subtract y from both sides )

y = 42

Answer: 3/8q^3 + 9

Step-by-step explanation:

1. combine like terms 5/8q^3 - 1/4q^3, need to make denominator the same to subtract so multiply 2/2 by 1/4q^3, 5/8q^3 - 2/8q^3 = 3/8q^3

2. final answer is : 3/8q^3 + 9

Answer:

4

Step-by-step explanation:hrllo sdkksfdjg jdskl fg

Answer:

Reflection only and rotation then translation I believe

Step-by-step explanation:

Simplify 2(x-6)

2x+2•-6

2x-12

4x+10=2(×-6)=2x-12

you have to distribute if I'm not wrong 2(3y+6)-30 (-4-y)

2x3y= 6y 2×6=12 -30×-4=120 -30×-y=30y

6y+12+120+30y

Answer:

14 units²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 4 , so

A = [tex]\frac{1}{2}[/tex] × 7 × 4 = [tex]\frac{1}{2}[/tex] × 28 = 14 units²

Answer:

Its would be E

Step-by-step explanation:

1.5x + 3 = -2x + 3    -1.5x = -2x   0.5x = 0  x = 0

Which is 0,3 and it’s only one solution.

The equation that gives the solution together with y = -1.5x + 3 is

y = -2x + 3

Option E is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 - 9 is an equation.

We have,

y = -1.5x + 3 ____(1)

y = -2x + 3 ____(2)

From (1 ) and (2) we get,

-2x + 3 = -1.5x + 3

-2x + 1.5x = 3 - 3

-0.5x = 0

x = 0

Now,

y = -2x + 3

y = 0 + 3

y = 3

Thus,

The solution is (0, 3).

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To shift a graph to the left you add to the x value

The answer would be B. g(x)=[1/2]×+3

The equation of g(x) = [1/2]x + 3 which is correct option (B)

A translation of a graph is a shifting of the graph either horizontally or vertically parallel to the axis.

If g(x) was translated three units to the left to create f(x)= [1/2]x, then

g(x) - 3 = f(x)

g(x) = f(x) + 3 = [1/2]x + 3

So g(x) = [1/2]x + 3

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Answer:

Step-by-step explanation:

Change the 40% to a decimal, which is 40/100 or also equivalent to 2/5

Then divide the number of teachers by the percentage/decimal of teachers

20/(2/5) = 100/2 = 50 total teachers

The total number of teachers in the school is 50 teachers

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

Let the total number of teachers in the school be = A

The percentage of teachers in the school who teach English = 40 %

The total number of English teachers = 20 teachers

So the percentage equation is ,

To calculate the total number of teachers

40 percentage of total teachers = 20 English teachers

So ,

( 40 / 100 ) x A = 20

Multiply by 100 on both sides , we get

40A = 2000

Divide by 40 on both sides , we get

A = 50

Therefore , the value of A is 50

Hence , the total number of teachers in the school is 50 teachers

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amos real_g975    :)  but a go ahead an add me

Answer:

40% = 72

divide both sides by 40 to find 1%

1% = 1.8

now multiply by 100 to find total amount earned

100% = 180

total earned $180

Answer:

Holly will still pay 86% of the original price.

Step-by-step explanation:

Given

To determine

What percent of the original price will still pay.

All we need is to subtract the percentage of discount from 100.

i.e.

100 - Discount = 100 - 14 = 86%

The amount left over would be what remains of the original price after Holly gets 14 % off a shirt.

Thus, Holly will still pay 86% of the original price.

Answer:

20 answers possible.

Step-by-step explanation:

5(4) is 20, since there are 5 true or false questions, and 4 answers per question, there will be a total of 20 questions.

Answer:

The car will be worth £14,430.27 in 4 years.

Step-by-step explanation:

Average annual value lost: £1,186.37

First year depreciation: £489.00

Total depreciation: £1,869.73

Total depreciation percentage: 11.47%

Value of vehicle at end of ownership period: £14,430.27

HOPE THIS HELPS!!!

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Answer:

Exact Form-9+√69÷6

Decimal form-2.88443731

Step-by-step explanation:

Answer:

2.4 or 2 2/5 bottles of water

Answer:

The answer is 60 m^3

Step-by-step explanation:

l x b x h

= 6 x 4 x 2 1/2

= 24 x 5/2

= 120/2

= 60 m^3 Ans

Answer:

with what lol?

Step-by-step explanation:

Answer:

with what

Step-by-step explanation: ican help

Answer:

( 1, 5 )

x = 1

y = 1

Step-by-step explanation:

y = x + 4

2x + 3y = 17

Since they gave us the value of "y" we can use that and substitute it into the equation to find what "x" is.

2x + 3y = 17

2x + 3 ( x + 4 ) = 17

Distributive Property

2x + 3 * x + 3 * 4 = 17

2x + 3x + 12 = 17

Combine Like Terms ( 2x and 3x)

5x + 12 = 17

Subtract 12 on both sides of the equation

5x + 12 - 12 = 17 - 12

5x = 5

Divide by 5 on both sides to isolate the variable

5x/5 = 5/5

x = 1

Now that we have what "x" is, we can substitute that into one of the equations to get the value of "y"

y = x + 4

y = 1 + 4

y = 5

x = 1

y = 5

( x, y )

( 1, 5 )

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

x=  −241 /4

Step-by-step explanation:

Answer:

Step-by-step explanation:

you have a right triangle,

a^2+b^2=c^2

10^2=4^2+b^2

100=16+b^2

100-16=b^2

84=b^2

b=9.16

Answer:

i think an right angle

Step-by-step explanation:

Answer:

1/3 square meters

Step-by-step explanation:

Area = length x width

2/3 x 1/2 = 2/6 = 1/3