Simplify the following rational expression and express in expanded form.

Answer : ( 1, - 4 )

Explanation : y=x - 5

y —3х – у = -3

Step 1 : Consider the first eqaution. Subtract X from both sides.

y - x = -5

Step 2 : Consider the second eqaution. Combine y and -y to get 0 .

-3x = -3

Step 3 : Divide both sides by -3

x = -3 / -3

Step 4 : Divide -3 by -3 to get 1

x = 1

Step 5 : Consider the first eqaution. Insert the known values of variables into the equation.

y - 1 = -5

Step 6 : Add one to both sides.

y = -5 + 1

Step 7 : Add negative 5 and one to get negative 4 .

y = -4

Therefore, the answer is ( 1, - 4 )

Answer:

where did Ross come from? is that just misplaced or what. or am I reading it all wrong

Answer:

$42.00

Step-by-step explanation:

Interest = principle x rate x time

Interest = 300 x .07 x 2

Interest = 42

The domain of √ X  2 is X ≥ 4. The range is all real numbers.

Here is the proof, In order for the square root to be defined, the radicand (the value inside the square root symbol) must be greater than or equal to zero. In this case, the radicand is X - 2, so we must have X - 2 ≥ 0, which is equivalent to X ≥ 4. Therefore, the domain of √ X - 2 is all values of X that are greater than or equal to 4. The range of √ X - 2 is all real numbers because the square root of any non-negative value is a real number.

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The rate of change for the graph, when x=0 and x=1 is 2 units.

What is average rate of change?

This expression represents the average rate of change of the function f(x) over the range a<=x<=b, is less than or equal to x, and is less than or equal to b -

[f(b)-f(a)]/b-a

​

The rate of change of graph is determined by the formula -

[f(b)-f(a)]/b-a

[f(1)-f(0)]/1-0

Here, in the graph it can be clearly seen that f(0)=-1 and f(1)=1.

Plugging in the values -

[1-(-1)]/1

(1+1)/1

2

Therefore, the rate of change is 2 units.

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Answer:

x = 2x

x + 20 = 2x + 20

And,

1.5(x + 20) = 2x + 20

x = 20 i.e. Alexis

And, Jelani be 40

Step-by-step explanation:

Given that

Jelani has twice as much as Alexis

And, both can added $20

Jelani will have 1.5 times as much on his pass on Alexis

We need to write an equation also the amount does Jelani and Alexis have

So,

Let us assume the alexis be x

And, Jelani be 2x

Now

x = 2x

x + 20 = 2x + 20

And,

1.5(x + 20) = 2x + 20

1.5x + 30 = 2x + 20

-0.5x = -10

x = 20 i.e. Alexis

And, Jelani be 40

Answer:

39 inch

Step-by-step explanation:

Answer:

H=39.0625

Step-by-step explanation:

D=32in

R=1/2d=32/2=16

Volume of cylinder:pi r^2h

V=pir^2h

10000pi=16^2hpi

256h=10000

h=39.0625

Answer: 3x-y=8

Step-by-step explanation:

Answer:

kkuguftfhbnkmom ugvtvtv uvbuub

Answer:

A

Step-by-step explanation:

i got the same answer and got ir right

Answer:

$3424

Step-by-step explanation:

42800 x .08

.08 = 8%

Answer:

$821.2

Step-by-step explanation:

cause 2.65 percentage of 800 dollars is 800/100=8*2.65=21.2dollars.+800 =$821.2

Answer:

123456789123345

Step-by-step explanation:

Step-by-step explanation:

1. 60 apples

2. 60-4=56

3. 56+200=256

200/60

60/4

60+60=120

120+60=180

I think either 13.

FG cannot be multiplied because it is not a numerical value.

Multiplication is a mathematical operation that involves multiplying two numerical values together to produce a single numerical result. In order for multiplication to be possible, both values must be numerical values. FG is not a numerical value, which means that it cannot be multiplied. In order for FG to be multiplied, it would need to be replaced with a numerical value, such as a number or an expression that can be evaluated to a number. Without a numerical value, multiplication is not possible. Multiplying numerical values is done by taking the product of the two values, meaning that the result of the multiplication is the sum of each value multiplied by itself the number of times the other value is. For example, if you were to multiply 3 and 4, the result would be 12 because 3 multiplied by itself 4 times is 12, and 4 multiplied by itself 3 times is also 12. Without numerical values, this operation cannot be performed.

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Answer:

im sorry what exsactly is the question?

Step-by-step explanation:

Answer:

each book cost=222-15=207/9=22.88 dollar

Answer:

f(3) = 2

Step-by-step explanation:

See the attached graph.  f(3) = ____ is asking us to find the value of the function, f, at the point x = 3.  At x = 3, the value of y is 2.

The number of green and black marbles will be 15 and 20 black marbles respectively.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

We have the following information:

5 red marbles

6 blue marbles

3 green marbles

4 black marbles

2 yellow marbles

Total marble = 20 marbles

The number of green marbles:

= 3/20 × 100

= 15

The black marbles will be:

= 4/20 × 100

= 20

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Answer:

To find the diameter divide the circumference by pi

10÷3.14

=3.2 mm

Answer:

C) {6+√43, 6-√43}

Step-by-step explanation:

Applying,

x = [-b±√(b²-4ac)]/2a.................... Equation 1

From the question,

Given: a = 1, b = -12, c = 7

Substitute these values into equation 1

x = [-(-12)±√(-12²+4×1×7)]/2×1

x = [12±√(144+28)]/2

x = [12±√172]/2

either,

x = (12-√172)/2

x = (12-2√43)2

x = (6+√43)

or

x = (12+√172)/2

x = (12+2√43)/2

x = (6+√43)

Hence,

The right answer is C). {6+√43, 6-√43}

The factory can make 744 quarts of ice cream per day.

To find out how many quarts of ice cream could be made in 48 hours, we can use the principle of proportionality. Since the factory makes 310 quarts of ice cream in 10 hours, we can set up a proportion:

310 quarts / 10 hours = x quarts / 48 hours

To solve for x, we can cross multiply:

310 quarts * 48 hours = 10 hours * x quarts

x = (310 quarts * 48 hours) / 10 hours = 1480 quarts

So the factory could make 1480 quarts of ice cream in 48 hours.

To find the rate per day, we need to divide the number of quarts made per hour by the number of hours in a day. Since there are 24 hours in a day, we can calculate the rate per day as:

rate per day = (310 quarts / 10 hours) * 24 hours = (31 quarts/hour) * 24 hours = 744 quarts/day

So the factory can make 744 quarts of ice cream per day.

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The length AB of the roof is 3.20 m.

What is the Pythagorean theorem.

The Pythagorean theorem is one that can be used to determine the value of the unknown side of a right triangle when given two of its sides.

The theorem states that;

/Hyp/^2 = /Adj/^2 + /Opp/^2

Considering the given picture of the shed, draw a perpendicular to B from a point C on parallel line A. So that the length of AB can be referred to as the hypotenuse of triangle ABC.

Now applying the Pythagorean theorem, we have;

/Hyp/^2 = /Adj/^2 + /Opp/^2

/AB/^2 = /2/^2 + /2.5/^2

            = 4 + 6.25

/AB/^2 = 10.25

AB = (10.25)^ 1/2

AB = 3.20

Thus, the length of AB of the roof is 3.20 m.

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Answer:

18/4x36/x

18x=4x36

18x=144

x=144/18

x=8

Answer:

x = 8

Step-by-step explanation:

Given

y = kx ← k is the constant of variation

To find k use the condition y = 18, x = 4 , then

18 = 4k ( divide both sides by 4 )

4.5 = k

y = 4.5x ← equation of variation

When y = 36, then

36 = 4.5x ( divide both sides by 4.5 )

8 = x

Answer:

5

Step-by-step explanation:

Answer: 0.0370 (Italic part repeats forever)

Step-by-step explanation:

Answer: 0.037...

Step-by-step explanation:

Answer:

Step-by-step explanation:

set 1 is the work, then 60 works finish 1/21 per day. [tex]\frac{1}{21*60}[/tex] is the work for per workers. so, the days for 70 workers is [tex]\frac{21*60}{70}=18[/tex] days.

it will spend 18 days to complete