Evaluate 3(x+4)(x+1)/(x+2)(x-2) if x = 4 a.-10
B.10/3
C.-10/3
D.10
Answers
The solution of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.
What is expression?An expression is a combination of numbers, symbols, variables, indeterminates, function. It is usually not present in equal to form. It expresses some relationship between variables.
How to evaluate expression?The expression which is given as 3(x+4)(x+1)/(x+2)(x-2) and we have to find the value at x=4.
To find the value of expression at x=4 we have to put the value of x=4 in the expression.
at x=4, 3(4+4)(4+1)/(4+2)(4-2)
=(3*8*5)/6*2
=120/12
=10
Hence the value of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.
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Related Questions
Solve by Factoring:
2x^2 - x - 3 = 0
Answers
Answer:
x = 3/2 or x = -1
Step-by-step explanation:
2x² - x - 3 = 0
2*(-3) = -6
Factors of -6:
(-1, 6), (1, -6), (-2, 3), (2, -3)
We need to find a pair that adds up to the co-eff of x which is (-1)
Factors :(2,-3)
2 - 3 = -1
so, 2x² - x - 3 = 0 can be written as:
2x² + 2x - 3x - 3 = 0
⇒ 2x(x + 1) -3(x + 1) = 0
⇒ (2x - 3)(x + 1) = 0
⇒ 2x - 3 = 0 or
x + 1 = 0
⇒ 2x = 3 or x = -1
⇒ x = 3/2 or x = -1
In a genetics class, 7 students have GREEN eyes, 4 students have BLUE eyes, and 10 have HAZEL eyes. If a single student is picked at random, what is the probability that their eyes are BLUE or HAZEL?
Provide the final answer as a simplified fraction.
Answers
Answer:
1/14
Step-by-step explanation:
all together the probability would be 1/21 because we're adding all the color eyes together. After that, it narrows to only blue and hazel which is 14 so the new probability is 1/14, so the answer is 1/14.
PERIOD 2. Which of the dot plots shows a skewed distribution? A. !!! 1.1 12 1.3 1.4 1.5 1.6. 17 1.8 19 B. N +.... 2 2.5 3 3.5 4 4.5 5 5.5 6. 0.5 1 1.5 11 12 13 14 15 9 10 16 18 17 (D. 2.1 14 15 16 17 1.8 20 11 12 13 1.9
Answers
Answer: A.
Step-by-step explanation: There are a few outliers in A which would generally distort the shape of a dot plot where a majority would be clustered around the mean, and the points off to the side would fall far away from the mean making it skewed right in this situation.
11. Convert the measurement.
330,000 CL =
_ dal
33,000 dal
33 dal
330 daL
3,300 dal
Answers
Answer:
33 ooo dal answer sir beucase I think so
Step-by-step explanation:
Answer:
330 dal. 330,000/1,000 = 330. hope this helps
Step-by-step explanation:
- Zombie
Set the mean and standard deviation to 0 and 5 , respectively. Approximately 5% of the area under the normal curve lies to the right of 8.2 . Consider what would happen if you were to change the mean to 50 and keep the standard deviation at 5 . Can you predict the new value for which approximately 5% of the area under the normal curve lies to the right of this value? Enter your answer accurate to one decimal place.
Answers
Using z-scores and the normal distribution, it is found that the new value would be of 58.2.
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X, which is the area to the left of Z under the normal curve.The area to the right of Z is 1 subtracted by the p-value of Z.In this problem:
Mean of 50 and standard deviation of 5, thus \(\mu = 50, \sigma = 5\).Area to the right of 0.05, thus Z with a p-value of 1 - 0.05 = 0.95, thus \(Z = 1.645\).We have to find the value of X, then:
\(Z = \frac{X - \mu}{\sigma}\)
\(1.645 = \frac{X - 50}{5}\)
\(X - 50 = 1.645(5)\)
\(X = 58.2\)
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last one haha. need this asap will give brainliest
Answers
Answer:
A & B
Step-by-step explanation:
Can you help me write the equation of the line
Answers
Answer:
y = -6x-8
Step-by-step explanation:
Please help this is due today
Answers
Answer:
4. You reflect over the Y axis
5. You reflect over x=1
Step-by-step explanation:
a boy was 28 inches tall. Currently, he is 25% taller. How
tall is the boy now?
Answers
Answer:
21 inches
Step-by-step explanation:
If the boy is 25% smaller, that means his current height is 75% of his previous height. 75% of 28 is 0.75 * 28 which is 21.
Hope this helps :)
Answer:
35 inches tall. (This is assuming they want him to be 25% taller. Using the past tense of 28, I assume this is growth.)
Step-by-step explanation:
25% is 25/100 therefore we get 1/4 which gives us 28/4 = 7.
So this makes the boy 7 inches taller than 28.
28 + 7 = 35
Making him 35 inches tall.
Gael uses 5 centimeters of string to hang each decoration of gale hangs 2 decorations , how much string does he use
Answers
Answer:
10 centimeter
Step-by-step explanation:
Answer:
10 centimeter
Step-by-step explanation:
5 multiplied by 2.
Gunner is racing his motorcycle. He has raced for 45 minutes. If he has completed 15% of his race, how many minutes will he race in all?
Answers
Answer:
300
Step-by-step explanation:
45 minutes is 15% of x
45 = 0.15x
0.15x = 45
x = 45/0.15
x = 300
Answer: 300
Below what price level would the firm go out of business in the long run?
Answers
A firm should go out of business in the long run when its price level is less than the average total cost.
When should a firm go out of business in the long run?The long run is a period where all factors of production are varied. It is known as the planning time of a firm. In the long run, if the if the average total cost is greater than the price, the firm should exit the market.
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An item has a listed price of $65. If the sales tax rate is 5%, how much is the sales tax (in dollars)?
Answers
Answer:
3.25$
Step-by-step explanation:
The sales tax is 3.25$
which has the greater magnitude 47 dollars or -86 dollars
Answers
Answer:
47 dollars.
Step-by-step explanation:
8. Rectangles AFGE and A B C D are similar; FG = 4 centimeters, EG = 6 centimeters
centimeters.
AC
15 cm
4 cm
G
6 cm
E
D
What is the length of BC in centimeters?
Answers
Answer:
14
Step-by-step explanation:
i got it right and you can tell that they are almost the same size.
Triangle ABC is a 45*-45*-90* triangle where two vertices are A(-2,2) and B(-2,6) and AB is a leg of the triangle. What are all the possible ordered pairs for C?
Answers
Midpoint formula: [(x1 + x2) / 2, (y1 + y2) / 2]
For A(-2,2) and B(-2,6), the midpoint coordinates are:
C = [(-2 + -2) / 2, (2 + 6) / 2] = [-2, 4]
So, the only possible ordered pair for point C in this 45°-45°-90° triangle is (-2, 4).
What is the product in simplest form? −8/9⋅5/6
−20/27
−1/5 −1
−13/15
Answers
Answer:
Step-by-step explanation:
Hello,
-8/9 X 5/6 = -40 / 54. The greatest common factor they both go into is 20. Divide -40 and 54 by 20, and the answer simplified is -20/27, letter C.
Hope this helps ;)
Answer below
Brainliest
Answers
Answer:
25 remainder of 4
Step-by-step explanation:
Answer:
here hope this will be you ^^"
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Brainiest for the right answers...
Answers
Answer:
9. B 10. C 11. B 12. B
Step-by-step explanation:
how would someone use the cross product property on an equation with 3 different values instead of two? I provided an example image
Answers
Using the cross product for the proff of Pythagoras theorem, the correct step is
By the cross product property, AB² = BC multiplied by BD
What is cross product propertyThe cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).
For the similar triangles, the ratio is as follows
BD / BA = BA / BC
BA² = BD * BC
and AB = BA, hence
BA² = BD * BC
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A graduate student wanted to estimate the average time spent studying among graduate students at her school. She randomly sampled graduate students from her school and obtained a hours/week. In the context of the problem, which of the following interpretation is correct?
A. There is a 99% chance that the average amount of time spent studying for all graduate students at this student's school is between 173 and 22.5 hours per week OH
b. Graduate Mudents at this student's school study between 173 and 22 5 hours per week 99% of all weeks during the year
C. At this student's school 99% of all graduate students study between 17 3 and 22.5 hours per week, on average
D. Approximately 99% of all random samples of graduate students from this school will give a mean number of hours studied per week between 172 and 225
E. We are 99% sure that the average amount of time spent studying among graduate students at this student's school is between 17.3 and 22 5 hours per week
Answers
The average amount of time spent studying among graduate students at this student's school is between 17.3 and 22.5 hours per week. which is the correct interpretation would be option (A).
What is the arithmetic mean?The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations.
A graduate student wanted to determine the average time spent studying between many graduate students at her school. She took a random sample of graduate students from her school and obtained an hour per week.
In the context of the problem,
We are 99% sure that the average amount of time spent studying among graduate students at this student's school is between 17.3 and 22.5 hours per week.
Therefore, the correct interpretation would be option (A).
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Find the length of side AB. Round to the nearest hundredth inch.
Answers
The value of length of side AB is,
⇒ AB = 5 units
We have to given that;
The figure is shown a trapezoid.
Hence, By using Pythagoras theorem we get;
⇒ AB² = 4² + (5.25 - 2.25)²
⇒ AB² = 16 + 3²
⇒ AB² = 16 + 9
⇒ AB² = 25
⇒ AB = √25
⇒ AB = 5 units
Therefore, The value of length of AB is,
⇒ AB = 5 units
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figure ABCD is a parallelogram what is the perimeter of ABCD
Answers
Below are the line plots for two data sets.
Answers
An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
Answers
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
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The population of Placerville grew from 4360 a decade ago to 6590 today.
Answers
Answer: To find the percent increase in population, I used the following formula:
percent increase = (new value - old value) / old value * 100
In this case, the old value was the population from a decade ago (4360), and the new value was the current population (6590). So plugging these values into the formula, we get:
percent increase = (6590 - 4360) / 4360 * 100
percent increase = 51.38%
So the population of Placerville increased by approximately 51.38% over the past decade. The population of Placerville has increased by (6590 - 4360) = 2230 people over the past decade.
Step-by-step explanation:
think your a pro at riddles?
Mr. and Mrs. Mustard have six daughters and each daughter has one brother. How many people are in the Mustard family?
Answers
Answer:
nine
Step-by-step explanation:
0.139 times what number could get me to 100? PLEASE ANSWER, FAST
Answers
Answer:
719.4244604
Step-by-step explanation:
100/0.139=719.4244604
Given this equation;
5p + 3 = 15
Write a situation that this equation could help you solve and explain how cach part
of the equation relates to the situation you create.
Answers
Answer:
18
Step-by-step explanation:
EXPRESAR CADA UNO DE LOS VALORES NUTRICIONALES DE LA NARANJA COMO FRACCIÓN. cuál es el valor nutricional total de la naranja
Answers
Answer:
This question is incomplete. You need to specify each of the nutritional values of the orange which are the following:
Fat: 0.2 Carbohydrates: 21.6 Sugars: 17.2 Proteins: 1.7 Water: 159.6 Dietary Fiber: 4.4Step-by-step explanation:
With this information we know that the total traditional value of an orange is 204.7 grams.
To transform each of these values into a fraction, we must place the same figure without decimals in the numerator and divide by a multiple of 10, with as many zeros as decimals the figure had and then we take the figure to its minimum expression
Fat 0.2 = 2/10 = 1/5 Carbohydrates = 21.6 = 216/10 = 108/5 Sugars = 17.5 = 175/10 = 35/2 Proteins = 1.7 = 17/10 Water = 159.6 = 1596/10 = 798/5 Dietary fiber = 4.4 = 44/10 = 22/5
This brings us to the following total nutritional value of the orange:
Total Nutritional Value = 204.7 = 2047/10