Formulate a step-by-step explanation (in words) on how to simplify (x^2+2x-8)/(x^2+7x+12). Be sure to write a sentence for each step (use correct mathematical language). Which step did you find most difficult to explain and why?
Answers
Answer:
see attached
Step-by-step explanation:
kindly go through the work i have done. ask for any clarification
Answer:
(x - 2) / (x + 3)
Step-by-step explanation:
We proceed to factor both polynomials:
x^2+2x-8 = (x + 4) * (x - 2) in numerator
x^2+7x+12 = (x + 4) * (x + 3) in denominator
therefore, there is a common factor (x + 4) which can be cancelled in the original rational expression, resulting in the following rational expression:
(x^2+2x-8)/(x^2+7x+12) = (x - 2) / (x + 3)
All steps where pretty simple.
Related Questions
Item 1
Round 71.58043 to the nearest hundredth
Answers
Answer:
71.58
Step-by-step explanation:
(-2+6y+3x)(-3) distributive property to remove the parentheses
Answers
Answer:
6-18y-9x
Step-by-step explanation:
Emilia and Joshua shared some money in the ratio 1:6.
Emilia received £15.
How much did Joshua receive?
Answers
Answer:
15x6
Step-by-step explanation:
do 15x6 and what that is, is the answer
5 × 3/2, but the answer as a fraction
Answers
Answer:
15/2
Step-by-step explanation:
5/1 * 3/2 = 15/2
Multiply.
(2x + 4)(2x-4)
A. 4x2 + 16
B. 4x2 - 16
C. 4x2 + 16x-16
D. 4x2 - 16x-16
Answers
Answer:
B 4x^2-16
Step-by-step explanation:
The answer is 4x^2-16
Answer:
4x^2-16
hope it's helpful ❤❤❤❤
THANK YOU.
What is the midpoint of the segment shown below (3, 7) (2, -1)
Answers
Answer:
(3,7) (2,-1)
(y1,Y2K)(z1,z2)
(y2-y1)(z2-z1)
(7_3)(-1-2)
(4)(-3)
=-12
what is the answer to this subtraction problem
Answers
Answer:
i d k
Step-by-step explanation:
what is f?
So first, you have to distribute the minus in the middle. You ALWAYS have to. So when you do that, the minus changes to a plus, and everything on the right side of it changes from positive to negative or negative to positive. So it would turn into this -
(6f^2 - 9f + 10) + (2f^2 + f - 3)
Now, you can combine like terms. Add each one that matches. (Add the ones that have 1 f, or f^2)
Answer:
8f^2 - 8f + 7
what is 900 * 158000
Answers
Answer:
142,200,000
Step-by-step explanation:
Used Calculator
Answer:
142200000
Step-by-step explanation:
It's a really long answer
Sarah read 215 pages of her book during the first week of vacation. During the second week she read62 more pages then the first week
Answers
Answer:
She read 277 pages during the second week.
Step-by-step explanation:
215 + 62.
Answer: she read 277 books
Step-by-step explanation:
Please help, geometry homework. Answer true or false for the following statements. The ones that are marked “ T” or “ F “ are already done, if I am wrong, please let me know.
Answers
2. True
3. False
4. False
5. False
13. False
14. False
Quotient of 59.4 and 8.25 show work
Answers
Answer:
in previous material it was shown that the digit sum of the product of two integers is equal to the digit sum of the product of the digit ... For instance, 66/8 = 8.25. ... For example, 35/7=5; the digit sum of the quotient is 5 and the digit sum of 35 is 8.
Missing: 59.4 | Must include: 59.4
Answer:
7.2
Step-by-step explanation:
Change the divisor 8.25 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.
We then have the equations:
5940 ÷ 825 = 7.200
and therefore:
59.4 ÷ 8.25 = 7.200
Both calculated to 3 decimal places.
1) (35 + 17) + 43 = 35+ (17 + 43)
Answers
Answer:
95?
Step-by-step explanation:
Can someone help me :/ it’s due today. I’ll give extra points
The bottom one is dab=dcb
Answers
Answer:
The answer is A, B, C, D, E
ALL OF THEM ARE CORRECT!!!
Step-by-step explanation:
ABCD is a parallelogram
M is the midpoint of CB
N is the midpoint of AB
DA = a
DC = c
a) find, in terms of a and c, the vector of MN
b) show that CA is parralel to MN
Answers
Answer:
Part a)
MN = 0.5a-0.5c
Part b)
MN=0.5a-0.5c
CA=a-c
CA is parallel to MN because 2×MN = CA.
Step-by-step explanation:
Part a = We know that ABCD is a parallelogram (stated), thus opposite sides must be equal. So given that DA = a, CB = a, DC = c, AB = C.
MN = MB+BN, so as M is the midpoint of CB then MB = 1/2 a and as we are going against AB (we are doing BN) then it will be -0.5c as N is the midpoint of AB.
Part B= More of a mathswatch error, where you have to quite literally put the precise answer. CA = CD+DA so -c (as we are going the opposite way to DC) + a.
CA = -c+a
Now CA is a multiple of MN. But Mathswatch prefers if you say that CA is parallel to MN because MN times 2 is equal to CA
In this exercise we have to use the knowledge of parallelogram and vectors to give the values of each one of them, like this:
A) MN = 0.5a-0.5c
B)CA is parallel to MN because 2×MN = CA.
First, we have to remember the definition of parallelogram:
A polygon is any flat closed shape made of straight line segments. A parallelogram is a polygon with 4 sides in which sides that don't touch each other are parallel.A) We know that ABCD is a parallelogram, thus opposite sides must be equal. So given that:
[tex]DA = a,\\CB = a, \\DC = c, \\AB = C.[/tex]
[tex]MN = MB+BN\\MB = 1/2\\BN=-0.5c\\MN = 0.5a-0.5c[/tex]
B)Where you have to quite literally put the precise answer, so we have that:
[tex]CA = CD+DA \\CD=-c\\DA=a\\CA = -c+a\\[/tex]
See more about parallelogram at brainly.com/question/555467
how do I decease 7 by 3%
Answers
Answer:
6.79
Step-by-step explanation:
First of all, you will have to know how much is 3% of 7 in order to decrease it by that amount.
7 x 0.03 = 0.21
Now that you know the amount, you can subtract it from seven and therefore you have decreased 7 by 3%.
7 - 0.21 = 6.79
Answer:
Percentage decrease = 7 × 3%
7 - Percentage decrease = 7-(3% x 7)= 7 - 3% x 7=7 x (1 - 3%)= (100% - 3%) × 7 = 97% x 7 = 679%
help me plsssssssssssssssssssssss!
Answers
"Answer" and Explanation:
All I can tell is that x=60, and that the angle is also 60, since it is and equalateral triangle. I can't see anything about sides lengths nor can I tell what 'side' means, so yeah that's all I can say. Sorry that probably didn't help at all.
Complete the coordinate proof for the quadrilateral determined by the points A(7, 9), B(9, 4) , C(4, 2), D(2, 7) . Prove that ABCD is a parallelogram.
Answers
Answer:
its B
Step-by-step explanation:
Mr. Lenz has received several orders for apples at his farm
stand. He needs to know how many people ordered 12
apples so he can fill bags of 12.
Would a dot plot or a histogram be a more appropriate way to display the
data for this situation?
A. A histogram, because Mr. Lenz wants to know all of the data for a
single value
O B. A dot plot, because Mr. Lenz wants to know all of the data for a
single value.
C. A histogram, because Mr. Lenz wants to know how the data fall
into different intervals or ranges.
D. A dot plot, because Mr. Lenz wants to know how the data fall into
different intervals or ranges.
Answers
Answer:
A, Histograms give values where as dot plots are focused on a trend.
Answer:
B
Step-by-step explanation:
I got the test
please help me please
Answers
Answer:
It won't let me see the picture
Step-by-step explanation:
Solve for x in the following equation: 4(-5x-6) = 4(9x+4)
Answers
Answer:
[tex] - 20x - 6 = 36x + 4 \\ 36x + 20x = - 6 - 4 \\ 56x = - 10 \\ x = \frac{ - 10}{56} \\ x = - 0.17571428[/tex]
What percentage is 20 of 92?
Answers
Answer:
21.72% is correct answer
Answer:
18.4
Step-by-step explanation:
Is three fourths more than three eights
Answers
Answer:
yes
Step-by-step explanation:
not sure how to explain it's kinda hard sorry
Answer:
Yes
Step-by-step explanation:
choose two expression equivalent to 5 (3a+4b)
A. 15a + 4b
B 15a + 20b
C. 5a + 3a + 4b
D. 4a + 10a + b + 3b
E. 10a + 5a +b + 5b
Answers
That the only answer choice I think
The expression equivalent to 5(3a+4b) is option (B) 15a+20b
What is Distributive property?In mathematics, the distributive property of binary operations generalizes the distributive law, which asserts that the equality is always true in elementary algebra.
Given,
5(3a+4b)
Apply distributive property
5(3a+4b) = 15a + 20b
Hence, the expression equivalent to 5(3a+4b) is option (B) 15a+20b
Learn more about Distributive property here
https://brainly.com/question/5637942
#SPJ2
Sam made fruit punch for a party. He mixed 3 gallons of orange juice, 2 quarts of pineapple juice, 4 pints of cranberry juice, and 6 cups of apple juice. How many quarts did he make in all?
Answers
Answer:
19 quarts
Step-by-step explanation:
you change the measurements to quarts.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
Step-by-step explanation:
Coupon A
Unit price of fresh buns = [tex]\frac{\text{Total price}}{\text{Number of buns in a pack}}[/tex]
= [tex]\frac{3.24}{12}[/tex]
Unit Price = $0.27 per bun
Coupon B
Units price of fresh buns = [tex]\frac{4.5}{18}[/tex]
Unit Price = $0.25 per bun
Coupon with the better buy is Coupon B.
Coupon C
Unit price of hamburger meat = [tex]\frac{\text{Price}}{\text{Quantity}}[/tex]
= [tex]\frac{5.44}{16}[/tex]
= $0.34 per hamburger
Coupon D
Unit price = [tex]\frac{9.6}{24}[/tex]
= $0.40 per hamburger
Coupon with better buy is Coupon C.
On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of 40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was
Answers
Complete question is;
On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of 40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was p^_B = 0.70 and the proportion of workers from Company C who purchased coffee was p^_C = 0.75.
What is the correct unit of measurement for the mean of the sampling distribution p^_B - p^_C?
A) Days
B) Dollars
C) Companies
D) Workers
E) There are no units associated with the mean of the sampling distribution
Answer:
E) There are no units associated with the mean of the sampling distribution
Step-by-step explanation:
We are given;
Population proportion for workers from Company B who purchase a coffee from the company cafeteria as 0.62
Population proportion for workers from Company C who purchase a coffee from the company cafeteria as 0.71
Now, we were told that a random sample of 40 each were selected from both company B & C and the sample proportion were;
p^_B = 0.70 and p^_C = 0.75
Now, this proportions don't have any units as it is based on a ratio of the number of people that purchased coffee to the number of people surveyed.
Thus we can conclude that p^_B - p^_C will not have any units associated with it.
The possible outcomes of the difference in proportions of the two samples
based on on the individual proportions are not associated with a unit.
The correct option for the unit of measure of the sampling distribution [tex]\hat p_B - \hat p_C[/tex] is E. There are no units associated with the mean of the sampling distribution.Reasons:
The given parameters are;
The proportion of workers of Company B who purchase coffee from the
Company B workers that purchase coffee from the cafeteria = 0.62
Company A workers that purchase coffee from the cafeteria = 0.71
Number of workers in the sample from Company B = 40
Number of workers in the sample from Company A = 40
Proportion of Company B workers who purchase coffee, [tex]\hat p_B[/tex] = 0.71
Proportion of Company C workers who purchase coffee, [tex]\hat p_C[/tex] = 0.75
Required:
The unit of the mean of the sampling distribution of [tex]\mathbf{\hat p_B - \hat p_C}[/tex]
Solution:
The proportion of the workers that purchase coffee is given by the ratio of the number of workers that purchase coffee to the number of workers in the sample.
Therefore;
[tex]\displaystyle \hat p = \mathbf{\frac{Coffee \ buying \ workers}{Total \ number \ of \ workers}}[/tex]
Given that the unit of the numerator and denominator are both workers,
that divide out, we have that the [tex]\mathbf{\hat p}[/tex], [tex]\mathbf{\hat p_B}[/tex], [tex]\mathbf{\hat p_C}[/tex] and therefore [tex]\hat p_B - \hat p_C[/tex] are not
associated with a unit.
Therefore;
The correct option is; E. There are no units associated with the mean of the sampling distribution.
Learn more here about sampling distribution of a sample proportion here:
https://brainly.com/question/14261491
Miss Fallon wants to paint her classroom door in a checkerboard pattern. The door measures 96 inches in length and 36 inches in width. Determine the side length of the largest square they can use to fill the checkerboard pattern completely without overlap or gaps. Fill in the blank. The side length of the largest square they can use is _________ inches. (GCF)
Answers
Answer:The door mesures 96 inches in length and 36 inches in width
if u need a explenation you can ask me
if mia Khalifa was black what would her situation be
Answers
Answer:
i really don’t know
Step-by-step explanation:
that’s an interesting question
Answer:
i dont know but can we do rp on pad.let?
Step-by-step explanation:
- The side length of a square is 4x3 cm. What is the area of the square?
Answers
Answer:
144 cm
Step-by-step explanation:
This week Leah got a promotion at work that came with a 6 % pay increase. If now her monthly
salary is $2862, how much was she making before the raise?
Answers
Answer:
$2690.28
Step-by-step explanation:
2862 decrease 6% =
2862 × (1 - 6%) = 2862 × (1 - 0.06) = 2690.28
Answer:
2700
Step-by-step explanation:
106%-> 2862
100%->2700