Rewrite as equivalent rational expressions with denominator (c- 9) (c+9)(c + 6):
Answers
Answer:
Step-by-step explanation:
as (c + 9)(c - 9) = c² - 81
and (c - 9)(c + 6) = c² - 3c - 54
8(c + 6) = 8c + 48
(c² - 81)(c + 6) (c - 9)(c + 9)(c + 6)
10c(c + 9) = 10c² + 90c
(c² - 3c - 54)(c + 9) (c - 9)(c + 9)(c + 6)
The equivalent rational expressions with denominator (c- 9) (c+9)(c + 6) are;
1. 8 / (c² - 81) = 8 / (c + 9) (c - 9)
2. 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expressions are,
1. 8 / (c² - 81)
2. 10c / (c² - 3c - 54)
Now,
Solve the expressions for the denominator (c- 9) (c+9)(c + 6) as;
1. 8 / (c² - 81) = 8 / (c² - 9²)
= 8 / (c + 9) (c - 9)
Thus, 8 / (c² - 81) = 8 / (c + 9) (c - 9)
2. 10c / (c² - 3c - 54) = 10c / (c² - (9- 6)c - 54)
= 10c / (c² - 9c + 6c - 54)
= 10c / [c(c-9) + 6(c - 9)]
= 10c / (c + 6) (c - 9)
Thus, 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)
Therefore, The equivalent rational expressions with denominator (c- 9) (c+9)(c + 6) are;
1. 8 / (c² - 81) = 8 / (c + 9) (c - 9)
2. 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)
Learn more about the mathematical expression visit:
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What is 3 4/5÷(−1 1/10)?
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Step-by-step explanation:
divide 7.02 by .39
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Step-by-step explanation:
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Drag each relation to the correct location on the table. Classify the relations according to whether or not they are functions.
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Step-by-step explanation:
∵ MP is a straight line.
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100 POINTS ANSWER PLZ
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Answer:
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Step-by-step explanation:
Answer:
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Ms. McCullough bought a bunch of bananas. If she ate 2/8
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Answer:
1/2
Step-by-step explanation:
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Where is the blue point on the number line ?
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
one period is 5, so -5×4 = -20
In a right triangle, the measures of the legs are 8 and x + 6,
and the measure of the hypotenuse is x + 8. Find the value of x.
Answers
See the attached image for the steps.
x = 9.
Identities used :-
(a + b)² = a² + 2ab + b²
Theory used :-
Pythagorean theorem (Hypotenuse² = Base² + Altitude²).
______
RainbowSalt2222 ☔
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Answers
Answer:
Pythagorean Theorem. The Pythagorean theorem states that in any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs of the right triangle. This same relationship is often used in the construction industry and is referred to as the 3-4-5 Rule.
Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicated that 35% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. a. How many business owners in the survey plan to provide a holiday gift to their employees this year
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The business owners that would provide a holiday gift to their employees this year is 21.
Percentage are a measure of frequency. It is the fraction of an amount that is usually expressed as a number out of hundred.
In order to determine the business owners that would provide a holiday gift to their employees this year, multiply the percentage of business owners that indicated they plan to give gifts by the total number of people surveyed.
35% x 60
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What is 162 multiplied by 0.967
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The answer would be 156.654
Answer:
Remove the decimals and multiply normally.
162 x 967
156654
Put back in the decimals. In this case, move the decimal point back three spaces from the end.
156.654
:)
Tutori
A decade ago, the average class size at Belmont Middle School was 30 students. Now it is
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PLS HELP
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Answer:
42 studentsStep-by-step explanation:
Initial class size = 30 students
Class size now is 40% larger:
30 + 40% = 30 + 30*40/100 = 30 + 12 = 42First let's find larged amount
[tex]\\ \sf\longmapsto 40\%\:of\:30[/tex]
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Answers
Answer:
20:12
brainlest if it helped
Step-by-step explanation:
Answer:
20:12
Step-by-step explanation:
if you multiply 5:3 by 4, they'll end up with 20:12.
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Answers
Answer:
According to the National Weather Service, if you see a 40 percent chance of rain, "there is a 40 percent chance that rain will occur at any given point in the area."
Step-by-step explanation:
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A weather forecaster has a 60% chance of predicting the weather correctly today.
If she is correct, then the probability of being correct the next day is 80%.
If she is wrong, the chance of predicting incorrectly the next day is increased by 25% that she was wrong the previous day.
Let the chance of predicting the weather correctly today be A.
Let the chance of predicting the weather correctly the next day be B.
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More about the chain rule of probability link is given below.
brainly.com/question/1210781
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Answers
Answer:
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Please help! Only answer if correct.
Answers
After driving x miles, the first plan costs
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Answers
Answer:
20
Step-by-step explanation:
A common denominator is a number that is a multiple of both denominators.
To find it just write the multiplication table of the numbers and find a number that appears in both of them.
In this case, we have 4 and 5:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40
5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Since it only asks for a common denominator, it can be 20, 40, 60, 80... Although it's usually smarter to pick the lower number.
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Answer:
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Answers
Answer:
[tex]\sqrt[3]{15}[/tex]
Step-by-step explanation:
15^(1/3) in radical form is [tex]\sqrt[3]{15}[/tex]
To express 15^(1/3) in radical form, we have to first understand what radical form is. It is the expression in a form whereby there exists no fraction and or square roots again. And thus, we have to eliminate the power in this question.
15^(1/3) = 15 which when simplified further, we get [tex]\sqrt[3]{15}[/tex]
Have the best day ever! :D
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Answer:
No
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Divide total earned by number of hours:
10.26/3 = $3.42
She earned $3.42 per hour
Determine the intercepts of the line.
Do not round your answers.
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y-intercept:
r-intercept:
Answers
Answer:
x intercept: (3/2, 0), y intercept: (0, -3)
Step-by-step explanation:
It takes Shawn 4 more hours to stain a deck than Michelle. Together it takes them 4.8 hours to complete the work. How long would it take Shawn to stain the deck by himself?
Answers
Answer:
4.4 hours
Step-by-step explanation:
It would take Shawn 4.4 hours, as this would give a time of .4 hours to Michelle, totaling 4.8 hours
will give 25 points if right
Answers
Answer:
1/6
Step-by-step explanation:
When the equation is in the form "y = mx + b", m is the slope. This linear line has a slope of 1/6 and a y-intercept of -1/2.
Plot the image of quadrilateral ABCD under a reflection across line L
Answers
Step-by-step explanation:
The coordinates of the reflection of a point (x, y), across the y-axis is the point (-x, y)
Please find attached the plot of the image of quadrilateral ABCD under a reflection of the line l
Method:
The coordinates of the vertices of the given quadrilateral ABCD are as follows
A(-2 0), B(-3, 4), C(0, 4), and D(-1, 1)
Due to its orientation, the line l can be taken as being equivalent to the y-axis
The coordinates of the image of (x, y) following a reflection across the y-axis is (-x, y)
Therefore, for the image of the quadrilateral ABCD following a reflection across the y-axis to give the quadrilateral A'B'C'D', the coordinates of A'B'C'D' are;
A(-2 0), reflected across the y-axis gives the image A'(2, 0)
B(-3, 4), reflected across the y-axis gives the image B'(3, 4)
C(0, 4), reflected across the y-axis gives the image C'(0, 4)
D(-1, 1), reflected across the y-axis gives the image D'(1, 1)
The coordinates with which the image of the of the quadrilateral ABCD can be plotted are therefore;
A'(2, 0), B'(3, 4), C'(0, 4), and D'(-1, 1)
The plot of the quadrilateral ABCD and the image A'B'C'D' can be created using MS Excel presented in the attached graph
Learn more about transformations here:
brainly.com/question/21388875
laminiaduo7 and 1 more users found this answer helpful
What is 64 minutes (1 hour and 4 minutes) as mixed number? I'm pretty sure its something like this:
[tex]1 \frac{?}{?} [/tex]
but I don't know for sure
Answers
Answer: 1 4/60
Step-by-step explanation
64 is greater then 60 . 60 = 1 hour so 64 minutes = 1 whole 4 over 60
Answer:
1 1/15.
Step-by-step explanation:
1 4/60
= 1 1/15.
