Answers
The simplified form of the rational expression (x²+5x+6)/(3x+6) is (x+3)/2.
And we used factorization to find the simplified form.
What is factorization?Factorization is a process to simplify the expression by finding the factors of that expression.
And to find the same expression from factors, you have to reverse the process.
Given:
The rational expression,
(x²+5x+6)/(3x+6).
Simplifying,
the expression using factorization method.
First, (x²+5x+6),
= x²+2x+3x+6
= x(x+2)+3(x+2)
= (x+2) (x+3)
And 3x+6 = 3(x+2)
Substituting the simplified values to the given expression,
(x²+5x+6)/(3x+6),
= (x+2) (x+3) / {3(x+2)}
Factor out the common factor,
= (x+3)/2
Therefore, the simplified form is (x+3)/2.
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Related Questions
Simplify the following expression: 3(5 – 12) + 4 ÷ 2
A. -19
B. 19
C. -23
D. -8.5
I think it's either A or B
Answers
3(5 - 12) + 4 ÷ 2 = - 19
A must be the answer
Aponi is a member of the Shoshone Native American Indian
tribe. Her name means "butterfly." Aponi uses beads to make
hair barrettes with a butterfly design. The number of beads she
uses is proportional to the number of hair barrettes she makes.
Aponi graphs a line that shows the number of hair barrettes
she makes and the total number of beads she uses. Two
points on the line are (2, 150) and (5, 375).
What does the slope of the line mean in this situation?
O Aponi uses 45 beads to make each hair barrette.
Aponi uses 75 beads to make each hair barrette.
Aponi uses 150 beads to make each hair barrette.
O Aponi uses 225 beads to make each hair barrette.
Answers
A line that shows the number of hair barrettes she makes and the total number of beads she uses is y = 75x.
What is the graph's line's equation?In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, you must first determine the slope and y-intercept. The slope is the ratio of the change in y to the change in x. Find two locations on the line, and then draw a sloping triangle joining them.
What is the name for a straight line?A line is a perfectly straight, one-dimensional figure that extends infinity in both directions and has no thickness. To stress that a line has no "wiggles" anywhere along its length, it is sometimes referred to as a straight line or, more archaically, a right line.
Two points on the line are (2, 150) and (5, 375)
y - 150 = ( (375-150) / (5-2) ) (x-2)
y - 150 = 75 (x-2)
y = 75x
Equation of line is y = 75x
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You want to install a 1-yd walk around a circular swimming pool. The diameter of the pool is 20 yd. What is the area of the walk?
Answers
Answer:
Area=π*r*r
π=3.14
3.14*20*20=1256
Use compositions to determine if the functions below are inverses of
each other?*
f(x) = 5x & F-1(x) = x
Yes
No
Answers
Answer:
They are not inverse functions
Step-by-step explanation:
Given
[tex]f(x) = 5x[/tex]
[tex]f^{-1}(x) = x[/tex]
Required
Determine if both are inverse functions
First calculate the inverse of f(x)
[tex]f(x) = 5x[/tex]
Replace f(x) with y
[tex]y = 5x[/tex]
Swap x and y
[tex]x = 5y[/tex]
Make y the subject
[tex]y = \frac{1}{5}x[/tex]
Replace y with f-1(x)
[tex]f^{-1}(x) = \frac{1}{5}x[/tex]
By comparison:
[tex]f^{-1}(x) = x[/tex] and [tex]f^{-1}(x) = \frac{1}{5}x[/tex] are not the same:
Hence:
[tex]f(x) = 5x[/tex] and [tex]f^{-1}(x) = x[/tex] are not inverse functions
simplify 3*15-(3+5)/4-(3-2)
Answers
Answer:
13/10
Step-by-step explanation:
edg
I WILL GIVE BRAINLIEST!!!
Answers
Lori works in a restaurant. She earns $7/hr plus tips. If Lori works 4 hours on a Tuesday, has $300 of food sales,
What is her base salary?
What is her Tips (18% of Food-sales) ?
What is her Total earnings?
Answers
Answer: Her total earnings would be $28+$54=$82.
Step-by-step explanation:
Lori's base salary is calculated by multiplying her hourly rate by the number of hours she works. If Lori works 4 hours on a Tuesday and earns $7/hr, her base salary would be 4*$7=$28.
Lori's tips are calculated as 18% of her food sales. If Lori has $300 of food sales on a Tuesday, her tips would be 18%*$300=$54.
Lori's total earnings for the day would be the sum of her base salary and her tips. In this case, her total earnings would be $28+$54=$82.
Let |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°. Which expression represents |r – s|?
Answers
The resultant of subtraction of both vectors is
|r - s| = √(r² + s² - 2rscos{15})
What are vectors?A vector is an object that has both a magnitude and a direction.
Given is that |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°.
For the subtraction of vectors, we can write its magnitude as -
|r - s| = √(r² + s² - 2rscos{15})
Therefore, the resultant of subtraction of both vectors is
|r - s| = √(r² + s² - 2rscos{15})
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I’ve been stuck on this for about a week, I know it might seem easy but I’m very bad at fractions and my teacher won’t help me
Answers
On solving the provided question we can say that - the increased value in fraction will be [tex]3\frac{1}{4}[/tex]
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
we have,
initial = [tex]4\frac{5}{6}[/tex]
increased by = [tex]4\frac{1}{4}[/tex]
son difference is = [tex]3\frac{1}{4}[/tex]
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10 points LAST QUESTION :DDDDDD
The Scale factor of Dilation is 3. What will be the four pairs of coordinates for the enlarged image? The center of dilation is 0,0, point of origin.
Answers
Answer:
Step-by-step explanation:
Plz help me god blesss you
Answers
Answer:
d. III
Step-by-step explanation:
Quadrants:
In the first quadrant, both x and y are positive, that is, x > 0 and y > 0.
In the second quadrant, y is positive while x is negative, that is, x < 0 and y > 0.
In the third quadrant, both x and y are negative, that is, x < 0 and y < 0.
In the fourth quadrant, x is positive while y is negative, that is, x > 0 and y < 0.
In this question:
x < 0 and y < 0, so third quadrant, and the correct answer is given by option D.
What is the probability that (enter the probability only, do not round.):
• Exactly 2 are male?
• At least 7 are male?
• None are male?
• Less than 3 are male?
• There are 3 or 4 males?
• At least 1 is male?
Answers
Answer:
7
Step-by-step explanation:
The required probabilities are
• Exactly 2 are male = 0.08
• At least 7 are male = 0.14
• None are male = 0.60
• Less than 3 are male = 0.12
• There are 3 or 4 males = 0.019
• At least 1 is male = 0.04
Probabilities to college reported that 40% of its population is male. Nine students are selected at random.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
For Exactly 2 are male = 2 * 0.04
= 0.08
Similarly,
• At least 7 are male = 0.14
• None are male = 1 -0.40 = 0.60
• Less than 3 are male = 0.12
• There are 3 or 4 males = 0.12 *0.16 = 0.019
• At least 1 is male = 0.04
Thus, the required probability is given above.
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cesar is making a solution for his chenistry class. he puts 3/4 gram sodium chloride and 1/3 gram potassium chloride on the scale. what is the combined mass of the compounds?
Answers
The combined mass of the compounds is 13/12 grams
How to determine the combined mass of the compounds?From the question, we have the following parameters that can be used in our computation:
3/4 gram sodium chloride and 1/3 gram potassium chloride
The combined mass of the compounds is then calculated as
Combined mass = sodium chloride + potassium chloride
Substitute the known values in the above equation, so, we have the following representation
Combined mass = 3/4 + 1/3
Evaluate the sum
Combined mass = 13/12
Hence, the combines mass is 13/12 grams
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there are no good answers on brainly can someone pls answer this
Answers
Answer:
D
Step-by-step explanation:
explanation on the other response on ur other question
What is the volume of one cylinder ??
Answers
A 1948 study in Biometrika investigated the effects of several different diets on the weight of chickens. In this study, chickens were randomly assigned to one of several different groups, and each group of chickens received a different type of feed. The data provided represent a subset of data from this study and show the weights (in grams) of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
Use software to conduct an analysis of variance (ANOVA) ????F‑test to test the claim that the mean weights of chickens receiving sunflower, meatmeal, soybean, and casein are equal. What are the ????F‑statistic and pp‑value for this test? Please round your ????F‑statistic to the nearest two decimal places and your pp‑value to the nearest five decimal places.
1. ????F‑statistic :
2. pp‑value :
Based on the pp‑value for this ANOVA ????F‑test, select the correct conclusion at the ????=0.05α=0.05 level.
a. Since the pp‑value is greater than ????=0.05α=0.05, there is little evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
b. Since the pp‑value is less than ????=0.05α=0.05, there is significant evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
c. Since the pp‑value is less than ????=0.05α=0.05, there is little evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
d. Since the pp‑value is greater than ????=0.05α=0.05, there is significant evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
weight feed
368 1
390 1
379 1
260 1
404 1
318 1
352 1
359 1
216 1
222 1
283 1
332 1
325 2
257 2
303 2
315 2
380 2
153 2
263 2
242 2
206 2
344 2
258 2
243 3
230 3
248 3
327 3
329 3
250 3
193 3
271 3
316 3
267 3
199 3
171 3
158 3
248 3
423 4
340 4
392 4
339 4
341 4
226 4
320 4
295 4
334 4
322 4
297 4
318 4
Answers
hope this helps!! ^.^ -
Answer: F: 5.90, P: 0.00175, p-value is less than 0.05, so there is significant evidence
Step-by-step explanation:
Plz help me well mark brainliest if correct!!
Answers
It’s schedule B
9x+12y=-108 Please solve this, but it cannot be in fraction form!!!
Answers
All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept
X=-12
Y=-9
HElp MY BRO NEEDS HELP... again -/
Answers
Answer:
27 cubic units
Step-by-step explanation:
Answer:
[tex]The ~ volume: 27~cubic ~units[/tex] ✔︎
Step-by-step explanation:
[tex](3)(3)(3)[/tex]
[tex]Multiply[/tex]
[tex]so, your~ answer ~will ~be ~27[/tex]
༄✫༄✫༄✫༄✫༄✫༄
hope it helps...
have a great day!!
Help me please !! Please
Answers
Answer:
i believe the last one is right.
Danielle is using 2 quarts of water in a recipe. How many cups of water is she using
?
Answers
Answer: 8 cups
Step-by-step explanation:
4 cups to 1 quart, so 2 x 4 = 8
Help I need done quick
Answers
Answer: 160
Step-by-step explanation:
I divided 144/9 to see how many students are their per 10% of the 90% of students and got the answer 16. I then added 16 as the other missing 10% to 144 and got the answer 160.
A gym membership is $28 to join and $10 paid monthly.
Create a table to represent this scenario, then create an equation.
Enter your answers in the boxes.
Months Purchased Total Cost ($)
0 28
1
38
2
48
3
58
4
68
The equation to represent this scenario is y =
x +
.
Answers
Answer:
sorry needed points so sorry
Step-by-step explanation:
What is the lowest common denominator of the math problem
6/9-2/3=
Answers
Answer:
Answer to 6/9-2/3= 0; Lowest common denominator = 3;
Step-by-step explanation:
You can only reduce 6/9 to 2/3, you cant reduce the fraction any further.
Find the surface area and volume for this following pyramid
Answers
Answer:
the aswer is A i did this
Step-by-step explanation
the probabiliity of getting exactly one tail is?
Answers
Answer:
50%
Step-by-step explanation:
assuming you are talking about one coin flip (because you didn't specify) you have a 50% chance to land on tails
help me fill this out! please be honest and help me , i'll mark you brainlesst
Answers
Answer/Step-by-step explanation:
1. The vertex of am angle is formed when two lines join together. The vertex of the angle shown in the diagram is located outside the circle.(<R)
2. The lines that created <FRT (lines FR & TR) are secants
3. The major arc = FT = 140°
minor arc = QS = 44°
4. Formula of Exterior angles of a circle = (major arc - minor arc)/2
x = (140 - 44)/2
x = 96/2
x = 48°
helppp mee nowww plssss
Answers
Answer:
the answer is D, Mars is one of the smallest planets
Using x as the variable for the problem, solve for x.
PLEASE HELP!!!! Hosting a party for 28 people, you plan to serve pizza for dinner. Each pizza
has 8 slices. How many pizzas must you buy so each guest gets at least 2
slices?
A. x56
B. x 6
C. x27
D. X>7
Answers
Answer:
I'm not sure but I think it's 7
Step-by-step explanation:
28×2= 8x
8÷56=8x÷8
7=x
Please answer DO NOT PIT LINKS I WILL FIND YOU
Answers
y=5x^2-30x+95=5x^2-30x+45+50=5(x^2-6x+9)+50= (x-3)^2+50