What is the simplest form x^2-16/x^2+5x+4fied form of
Answers
9514 1404 393
Answer:
(x -4)(x +1)
Step-by-step explanation:
\(\dfrac{x^2-16}{x^2+5x+4}=\dfrac{(x+4)(x-4)}{(x+4)(x+1)}=\boxed{\dfrac{x-4}{x+1}}\qquad x\ne-4\)
The simplified form comes with a domain restriction corresponding to the hole in the function where the original denominator is zero.
Related Questions
Quinn bought a bouquet of flowers as a surprise for her grandfather. She had expected it would cost $15 but her prediction was 50% more than the actual cost of the flowers. What was the actual cost of the flowers?
Answers
To find 50% of 15, you multiply. 15*50% equals 7.5.
twenty-eight divided by s
p plus fifty-one
Answers
The National Survey on Drug Use and Health also reported that 21% of males in the same age group (12-20) are binge drinkers. Suppose that in addition to the 10 randomly chosen females, a random sample 10 males from the same age group is chosen (to a total of 20). Let the random variable Y be the total number of males and females (out of 20) who are binge drinkers. Which of the following is true regarding the random variable Y?
a. Y has a binomial distribution with n-60 and p.16
b. Y does not have a binomial distribution since p, the probability of being a binge drinker, is not the same for all the trials.
c. Y has a binomial distribution with n-60 and p .31
d. Y does not have a binomial distribution since the number of trials n is not fixed.
e. Y does not have a binomial distribution since the trials are not independent.
Answers
Answer:
Y does not have a binomial distribution since p, the probability of being a binge drinker, is not the same for all the trials.
Step-by-step explanation:
For a binomial distribution, condition required include :
A fixed number of trials ; Here the number of trials is 20 ; hence, this condition is met.
Each trial must be independent : yes, it is independent as a selected individual could either be a binge drinker or not. The outcome of each trial is either a success or a failure ; being a drinker or not.
However, the probability of being a binge drinker (that is probability of success) could vary for male and female. The probability of male being a binge drinker is 0.21 while that if female isn't specified, this probability, p value should be the same for all trials. Hence, with this value not being the same for all trials, the binomial probability condition is violated.
Find the slope of identity function using points (0,0) and ( 3,3) then from two points (0,0) and (-3,-3). Is there any change in its slope?
Answers
There is no change in its slope as initial and final slope is 1.
What is slope?
In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.
Main body:
formula for slope with two points form is =
y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)
according to question ,
points are (0,0) and (3,3)
y - 0 = (3-0/3-0)(x -0)
y = 3/3 *x
y = x
hence slope of line is 1.
Now points are (0,0) and (-3,-3).
y - 0 = (-3-0/-3-0)(x -0)
y =- 3/-3 *x
y = x
hence slope of line is 1.
So there is no change in its slope.
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if a polynomial is divided by (x-a) and the remainder equals zero, then (x-a) is a factor of the polynomial
Answers
Answer:
True.
Step-by-step explanation:
This is the basis for polynomial division/remainder theorem.
Given a polynomial p(x) and a divisor (x - a), if p(a) = 0, then the expression factors in perfectly.
Likewise, if the remainder in p(x)/(x-a) = 0, then the expression factors in perfectly.
I hope this helps!
Answer:
True
Step-by-step explanation:
a p e x
Use the graph or table to identify the value that makes this relationship proportional.
Answers
Answer:
33
Step-by-step explanation:
Pls vote my answer as brainliest
Answer:
33
Step-by-step explanation:
45. A 5-foot log leans against a wall and inclines at a 45° angle from the ground. What expression will
solve the distance between the base of the log to the base of the wall?
A. sin 45
B. cos 45
C. tan 45
D. csc 45
46. What trigonometric ratio can we use to solve for the height of a building given the distance between
the observer and the base of the building and its angle of elevation?
A. Sine
B. Cosine
C. Tangent
D. Secant
47. With the sun, a girl 1.4 m tall casts a 3.6 m shadow. Find the angle of elevation from the tip of
the shadow to the sun.
A. 18°
B. 19°
C. 20°
D. 21°
48. What formula is used to solve the problem: "Find zB in an oblique triangle ABC with the
following measures: A = 50°, a = 15 and b = 10."
A. Sine Law
B. Cosine Law
C. Tangent Law
D. Cosecant Law
49. In an oblique triangle XYZ, ZX = 63°, x = 139 and y = 140. Find
A: 100°
B. 64°
C. 60°
D. 45°
50. What formula will solve: "Jackie and Peter skate apart with an angle of 15° between them.
Jackie skates for 5 meters and Peter skates for 7 meters. How far apart are the skaters?
A. d² = 52+72-2(5)(7) cos 15
C. 7² = 52+d²-2(5)(d) cos 15
B. 52= d²+72-2(d)(7) cos 15
D. 152=52+72-2(5)(7) cos
Answers
Answer: it was be cos4
Step-by-step explanation: 1/2 divided by 3/4 = cos4
Find the area of each of the rooms.
Answers
Answer:
The green room is 12 (4x3)
The yellow room is 9 (3x3)
The red room is 12 (2x6)
Step-by-step explanation:
maya needs 54 cubic feet of soil for her garden. she already has 4.5 cubic feet of soil. Each bag contains 1.5 cubic feet of soil. How many bags of soil should maya purchase?
Answers
Answer:
33 bags
Step-by-step explanation:
she has 4.5 ft³
she needs 54 ft³
she must get an additional
54 ft³ - 4.5 ft³ = 49.5 ft³
each bag has 1.5 ft³
(49.5 ft³)/(1.5 ft³) = 33
Answer: 33 bags
which property of exponents must you apply to the express p 1/2 to derive p as the result
Answers
The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.
The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.
For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.
Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
So we have derived p as the result using the Power of a Power Property.
In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.
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Which transformations can be used to show that circle M is similar to circle N? Circle M: center (−1, 10) and radius 3 Circle N: center (0, 10) and radius 15 Select each correct answer. Responses Circle M is a dilation of circle N with a scale factor of 12. Circle , M, is a dilation of circle , N, with a scale factor of 12. Circle M and circle N are congruent. Circle , M, and circle , N, are congruent. Circle N is a dilation of circle M with a scale factor of 5. Circle , N, is a dilation of circle , M , with a scale factor of 5. Circle N is a translation of circle M, 1 unit right. Circle , N, is a translation of circle , M, , 1 unit right.
Answers
Circle M is a dilation of circle N with a scale factor of 5.Circle N is a dilation of circle M with a scale factor of 1/5.
Two circles are similar if and only if their radii are proportional. In this case, the ratio of the radii of circle M and circle N is:
r(M) / r(N) = 3 / 15 = 1 / 5
This means that circle M is a dilation of circle N with a scale factor of 1/5. Alternatively, we could say that circle N is a dilation of circle M with a scale factor of 5.
None of the other transformations listed can be used to show that the circles are similar. Congruent circles have equal radii, so circles M and N cannot be congruent. A translation of one circle does not affect its size or shape, so it cannot show similarity. A dilation with a scale factor of 12 does not preserve the ratio of the radii, so it cannot show similarity either.
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4x+1/3=10x/8
What is X?
Answers
Answer:
x = 13/9 = 1.444
Step-by-step explanation:
Answer:
13/9 or simply it
Step-by-step explanation:
or simply it
Is this an equation?
3,568 − 1,703
YES OR NO
Answers
I mean this could be both yes and no. An equation is something relating to numbers being either multiplied, divided, subtracted, or added based on the "=" symbol being involved in the equation. This does involve subtraction and most people would think it is an equation. However since the "=" was not included in this, it could also be considered that it isn't an equation.
If there is an "=" in the original equation, than yes. If it isn't, than no.
Two figures are said to be SIMILAR if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor.
Each pair of figures is similar. Find the value of the missing side (x). Round your answer to the nearest tenth if necessary.
Answers
Answer:
4.9 in
Step-by-step explanation:
6/11 = x/9
6/11 times 9 = x
x = 4.9
Can someone awnser all three questions please.
Answers
Answer:
Step-by-step explanation:
87
99
128
during a single day at radio station WMZH,the probability that a particular song is played in 3/8.what is the probability that this thing will be played on exactly 2 days out of 3 days ?round to your nearest thousandth
Answers
The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.
To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.
The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.
In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.
Using the formula, we have:
P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)
C(5, 2) = 5! / (2! * (5-2)!) = 10
P(2) = 10 * (3/8)^2 * (5/8)^3
P(2) ≈ 0.164 (rounded to three decimal places)
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help with 6 please i need to graduate
Answers
The expression with the correct coefficients in each block is given as follows:
20x³ + 0x² - 7x.
How to obtain the resultant function?The functions in the context of this problem are defined as follows:
f(x) = 4x.g(x) = 5x² - 4.h(x) = 9x.The operation is given as follows:
f(x)g(x) + h(x).
Hence, to obtain the resultant function, we apply the definitions into the operation and the simplify, applying the distributive property and combining the like terms, as follows:
4x(5x² - 4) + 9x = 20x³ - 16x + 9x = 20x³ - 7x.
As there is no x² term, the coefficient of zero multiplies the term x².
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In the diagram, the measures of 23 and 27 are 45°. The measure of 25 is
135°. Are lines cand dparallel?
F
5
8
OA. Yes, because 23 and 27 are congruent.
OB. No, because 27 and 25 are not congruent.
C. Yes, because 25 and 27 are supplementary.
D. No, because 23 and 25 are not supplementary.
Answers
The correct answer is D. No because 23 and 25 are not supplementary.
In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.
If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.
The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
Answers
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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Assume that the variable U represents a positive real number
Answers
Answer:
Step-by-step explanation:
1. Make and test a conjecture about the product of two even numbers.
2. Make and test a conjecture about the product of two even numbers.
3. Make and test a conjecture about the quotient of two integers with a different sign.
(With Example)
Answers
Answer:
Conjecture: The product of two even numbers will always be even.
Example: 2 x 4 = 8 (even)
Test: 4 x 6 = 24 (even)
Conjecture: The product of two odd numbers will always be odd.
Example: 3 x 5 = 15 (odd)
Test: 7 x 9 = 63 (odd)
Conjecture: The quotient of two integers with a different sign will always be negative.
Example: -6 / 2 = -3 (negative)
Test: -8 / 4 = -2 (negative)
Step-by-step explanation:
what is 4x(12x6-4^2)+9
Answers
Answer:
48x⁷ - 64x + 9
Step-by-step explanation:
Step 1: Write out expression
4x(12x⁶ - 4²) + 9
Step 2: Evaluate exponent
4x(12x⁶ - 16) + 9
Step 3: Distribute
48x⁷ - 64x + 9
Answer:
223
Step-by-step explanation:
Write the correct equation for the following statement.
The product of x and nine is three
Answers
Answer:
x*9 = 3
that's all
=)
Answer:
x*9=3
Step-by-step explanation:
Atleast I think so
A tailor has 20 yards of shirt fabric. How many shirts can she
complete if each shirt requires 2% yards of fabric?
Answers
Answer:
2%/100% ×20=
Step-by-step explanation:
from this one of the zeros from the hundred would cancel the zero from 20 which will give you 2/10×2 and mind you percentage cancel percentage. from this 2 will cancel 10 leaving the answer 2 over 5
PLEASE HELP!
which of the following choices is the area if the length is 8x and the width is 3y-2
Answers
Answer:
None of them are correct.
Step-by-step explanation:
The correct one would be 8x - 3y-2
How many solutions does each system have? System I: 4x+3y=-1 12x+9x=21 System II: 5x+2y=-7 15x+6y=21
Answers
Answer:
Step-by-step explanation:
System I: This system has one solution. To solve, you would need to first solve for one of the variables, say x. Then, substitute the value of x into the other equation to solve for y.
System II: This system has an infinite number of solutions. To solve, you would need to first solve for one of the variables, say x. Then, substitute the value of x into the other equation to solve for y. Since both equations are linear, they will have an infinite number of solutions.
Helppppppp I’ll give brainlyyyyyyyyyyyyy
Answers
The values of a, h and k for the function include the following:
a = 2
h = 3
k = -2
How to write an equation for the transformed logarithm?In Mathematics and Geometry, the general form of a logarithm function is represented by the following mathematical equation:
f(x) = alog(±x + h) + k
Where:
a represent the scale factor of the logarithmic graphh represent a horizontal translation.k represent a vertical translation.x represent the base.Based on the given logarithm function f(x) = 2log₄(x + 3) - 2, we can reasonably infer and logically deduce that the scale factor (a) used is equal to 2.
This ultimately implies that, the values of a, h and k for the function are 2, 3, and -2 respectively.
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Bookwork code: N84
This is a new version of the question Make sure you start now workings
Calculate the range, in centimetres (cm), of the following
lengths:
15 cm, 0.5 cm, 10.3 cm, 16.7 cm, 21 cm,
8.6 cm
Answers
The range, in centimetres (cm), of the following lengths is 20.5 cm
What is the range?
The difference between the lowest and highest numbers is referred to as the range. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3.
As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations.
Given, 15 cm, 0.5 cm, 10.3 cm, 16.7 cm, 21 cm, 8.6 cm
So, the highest value of length = 21 cm
the lowest value of length = 0.5 cm
Then, range = the highest value - the lowest value
= 21 - 0.5 = 20.5 cm
Hence, the range, in centimetres (cm), of the following lengths is 20.5 cm
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what is 9/10 ÷ 3/5 will give brainlist
Answers
Answer:1.5
Step-by-step explanation:
The height of triangle is 8 inches less than
its base. The area of the triangle is 192 square inches.
Find the dimensions of the triangle
Answers
Answer:
The base = 24 in
The height = 16 in
Steps:
x(x-8)/2 = 192
(x²-8x)/2 = 192
x²-8x = 192 × 2
x²-8x = 384
x²-8x-384 = 0
by using the quadratic formula, the roots are: (24, -16)
hence
x = 24
The base = 24 in
The height = 16 in