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3 years ago

Explain the steps involved in adding two rational expressions

Mathematics

2 answers:

stepan [7]3 years ago

8 0

Factor the denominators of each expression to find the LCD.

Rename each expression, if needed, by multiplying by a form of one to get the LCD.

Add the numerators, keeping the denominators the same.

If possible, simplify by factoring the numerator and dividing out common factors from both the numerator and denominator.

HACTEHA [7]3 years ago

5 0

In adding two rational expressions, we must sum up only the like terms. By that we mean to say that we can only do the operations to expressions with the same variables and the same exponents in each variables. We also take note of the signs of the numerical coefficient to better know whether to add them up or subtract.

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Emily Runs 10 ft./s Jake runs 334 feet and 26 seconds Katie runs 1 mile in 596 seconds and Stephanie runs 580 feet in one minute

shutvik [7]

Jake runs fastest

Step-by-step explanation:

The given is:

Emily Runs 10 ft./s
Jake runs 334 feet in 26 seconds
Katie runs 1 mile in 596 seconds
Stephanie runs 580 feet in one minute

We need to find who runs fastest

To solve the problem we must to find the unit rate of each one in feet per second

∵ Jake runs 334 feet and 26 seconds

- To find the unite rate divide 334 feet by 26 seconds

∴ Jake's rate = 334 ÷ 26 = 12.85 ft./s

∵ Katie runs 1 mile in 596 seconds

- Change the mile to feet

∵ 1 mile = 5280 feet

∴ Katie runs 5280 feet in 596 seconds

- To find the unite rate divide 5280 feet by 596 seconds

∴ Katie's rate = 5280 ÷ 596 = 8.86 ft./s

∵ Stephanie runs 580 feet in one minute

- Change the minute to seconds

∵ 1 minute = 60 second

∴ Stephanie runs 580 feet in 60 seconds

- To find the unite rate divide 580 feet by 60 seconds

∴ Stephanie's rate = 580 ÷ 60 = 9.67 ft./s

∵ Emily's rate is 10 ft./s

∵ Jake's rate is 12.85 ft./s

∵ Katie's rate is 8.86 ft./s

∵ Stephanie's rate is 9.67 ft./s

- The fastest one who has the greatest rate

∵ Jake's rate is the greatest

∴ Jake runs the fastest

Jake runs fastest

Learn more:

You can learn more about the word problems in brainly.com/question/1634276

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6 0

3 years ago

write equation that has base of 3 stretched vertically by factor of 2/3 reflected in y axis, asymptote of y=2 and passes through

madam [21]

The exponential equation is $y = \frac23(3)^{-x+0.74} + 2$

<h3>How to determine the equation?</h3>

An exponential function is represented as:

$y = b^x$

The base is 3.

So, we have:

$y = 3^x$

It is stretched vertically by 2/3.

So, we have:

$y = \frac23(3)^x$

When reflected over the y-axis, we have:

$y = \frac23(3)^{-x}$

An asymptote of y = 2, makes the function becomes

$y = \frac23(3)^{-x} + 2$

Lastly, it passes through the point (0, 3.5).

So, we have:

$y = \frac23(3)^{-x+h} + 2$

This gives

$3.5 = \frac23(3)^{-0+h} + 2$

$3.5 = \frac23(3)^{h} + 2$

Subtract 2 from both sides

$1.5 = \frac23(3)^{h}$

Multiply by 3/2

$2.25 = (3)^{h}$

Take the logarithm of both sides

log(2.25) = h * log(3)

Solve for h

h = 0.74

Substitute h = 0.74 in $y = \frac23(3)^{-x+h} + 2$

$y = \frac23(3)^{-x+0.74} + 2$

Hence, the exponential equation is $y = \frac23(3)^{-x+0.74} + 2$

Read more about exponential equation at

brainly.com/question/23729449

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3 0

2 years ago

What is 82,199 rounded to the thousands

Talja [164]

Answer:

82.20

Step-by-step explanation:

8 0

3 years ago

What is the speed of a car that is traveling 150 miles in 3 hours? Show your work

Ira Lisetskai [31]

Answer:

$speed = \frac{distance}{time} \\ speed = \frac{150}{3} \\ = 50 \: miles \: per \: hour$

6 0

3 years ago

Read 2 more answers

You make a scale model of a building using the scale factor 1 in = 10 ft. If the building is 65 feet tall, how tall is the scale

gavmur [86]

Answer:

6.59 inches

Step-by-step explanation:

65/10

6 0

3 years ago