15x^4y^3 − 45x^3y^4 Can be rewritten using a common factor as 15x^3y^3(x - 3y)
What is a common factor?common factors are defined as factors that are common to two or more numbers. In other words, a common factor is a number with which a set of two or more numbers will be divided exactly.
In the algebraic expression 15x^4y^3 − 45x^3y^4,
15x^4y^3 is a term and 45x^3y^4, is another term.
if we take each variable and constant and compare
15 is common factor between 15 and 45
x^3 is a common factor between x^4 and x^3
y^3 is a common factor between y^3 and y^4
so multiplying the common factors together we have 15x^3y^3
what is left in the first term is x and second term is 3y
so that the rewritten form becomes 15x^3y^3(x - 3y)
In conclusion the other form of 15x^4y^3 − 45x^3y^4 is 15x^3y^3(x - 3y)
Learn more about common factors: https;//brainly.com/question/219464
#SPJ1
help meeeeeeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeee!!!!!
5% of $1100 = 55
Year given = 7
So, 55 × 7 = 385
She would get after 7 years all total = (1100 + 385) = $1485
x² + 13x + 12 factorise
x²+ 12x + 1x + 12
x(x+12) + 1(x+12)
(X+1) (X+12)
Which of the following is closest to the approximate value of 103√? A 15 B 17 C 18 D 19
The closest to the approximate value of ✓103 is E. 10.
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
It should be noted that the expression is the square root of 103. This will give 10.1
Therefore, this will be 10. The correct option is E
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Complete question
Which of the following is closest to the approximate value of ✓103√? A 15 B 17 C 18 D 19 E. 10
What is the average rate of change of the function f(x)= 4x^2 + 3x on the interval [1,5]
Answer:
The average rate of change of f(x)= 4x^2 + 3x on the interval [1,5] is 18.
w(5)=w(-5) true or false
Answer: False
Step-by-step explanation:
w(5) = 5w
w(-5) = -5w
These aren't the same expressions.
Hope this helps!!! :)
Add the equations.
3x - y = -5
7x + y=15
A. -4x = 10
B. -4x = -20
C. 10x = 10
D. 10x-2y = -20
The addition of the given system of equations is 10x = 10.
What is system of equations?
A set of one or more equations involving numerous variables is referred to as a system of equations. The variable mappings that satisfy all component equations are the solutions to systems of equations, or the points where the components of these equations intersect.
Consider the given system of equations
3x - y = -5 ..(1)
7x + y = 15 ..(2)
We have to find the addition of this equations.
Add equation (1) and equation (2).
3x - y = -5
+ 7x + y = 15
____________
10x + 0 = 10
Hence, the addition of the given system of equations is 10x = 10.
To learn more about system of equations, click on the link
https://brainly.com/question/13729904
#SPJ1
mike rents a car for a total of$445.
the rental charges are$145 for the first day and $60 for the first day after that
for how many days did mike rent the car?
Answer:
6 days
Step-by-step explanation:
total is 445
first day charge is 145
so, 445-145 = 300
second day onwards its 60.
so, 300/60 = 5 days
so total 5+1 = 6 days.
I hope I helped you
You and a classmate have been paired to solve an equation. Your partner says they got an answer but the solution they found does not work when they checked it. Here is their work:
6 (8-3x )− 3 (9x−1 )+ 60
54 - 18x = −27x − 3 + 60
54 - 18x = −27x + 57
-18x = -27x + 3
9x = 3
x= 1/3
Explain all of the mistakes your partner made and how to correct them. After correcting the mistakes, write the correct answer for this equation.
Answer: -45x + 111 or -3(15x-37)
Step-by-step explanation:
Instead of :6 (8-3x )− 3 (9x−1 )+ 60
54 - 18x = −27x − 3 + 60
54 - 18x = −27x + 57
-18x = -27x + 3
9x = 3
x= 1/3
Corrected :
6 (8-3x )− 3 (9x−1 )+ 60
First Simplify : 54 - 18x -27x - 3 + 60
Combine Like terms Like 54, - 3, and 60 : 111 - 18x -27x
Combine Like Terms Like -18x and -27x : 111 -45x
Rearrange It So The Variable Is First : -45x + 111
So, the answer is -45x + 111 or if you want you can still simplify it by finding the common factor which you will get -3(15x-37)
Corrections : The friend is wrong because he turned the equation into an inequality instead of simplifying it. He turned the equation into an inequality by adding an equal sign in the middle then he tried to solve it like how you solve inequalities.
P.S : So, correct me if I am wrong but i will try my best to answer. Hope it helps.
Please help me quick !!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Likes hamburgers Does not like hamburgers Total
Likes burritos 39 77
Does not like burritos 95 33
Total 134 205
Part A: What percentage of the survey respondents liked hamburgers but do not like burritos? Show all work. (3 points)
Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)
Part C: Which category has the lowest joint relative frequency? Show all work. (4 points)
a) The percentage of the survey respondents liked hamburgers but do not like burritos is of: 46.34%.
b) The marginal relative frequency of all customers who like hamburgers is of: 0.6537.
c) The lowest joint frequency is not liking neither of hamburgers or burritos.
How to obtain frequencies and percentages?The relative frequency is obtained as the division of the number of desired outcomes by the number of total outcomes.
The percentage is calculated as the multiplication of the relative frequency by 100%.
From the table given by the image at the end of the answer, the total number of people in the survey is of:
77 + 128 = 134 + 71 = 205.
The percentage for item a is then calculated as follows:
95/205 x 100% = 46.34%.
The relative frequency for item b is then calculated as follows:
134/205 = 0.6537.
The joint frequencies are found completing the table, considering the sums for the rows and columns, as follows:
Like both: 134 - 95 = 39.Like burritos but not hamburgers: 38.Like hamburger and do not like burritos: 95.Do not like both: 71 - 38 = 33. -> lowest.Missing InformationThe table is given by the image shown at the end of the answer.
More can be learned about relative frequency at brainly.com/question/1809498
#SPJ1
Laney walks 2 1/3 miles to school from her house and rides the bus home. If she attended school five days last week, how many total miles did Laney walk?
The total miles that Laney walked is 11 2/3 miles.
How many total miles did Laney walk?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this situation, Laney walks 2 1/3 miles to school from her house and rides the bus home and she attended school five days last week.
The total miles that Laney walked will be:
= 2 1/3 × 5
= 7/3 × 5
= 35/3
= 11 2/3 miles
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
I am purchasing a smart TV for $648.
I have a coupon for 40% off.
Find the sale price.
Answer:
$1080
Step-by-step explanation:
Since we have 40% off 60 percent of the price is $648 so we can make ratios
60/100=648/x
Cross multiply
60x=100(648)
60x=64800
/60. /60
x=1080
Sales price is $1080
Hopes this helps please mark brainliest
why is y=3x proportional
Answer:
can 3x+3x+3x =9x if so what is the value of x?
It's possible 3x+3x+3x=9
=3*(3x) =9
3^(x+1) =3^(2x)
For each equation, determine whether it is linear.
(a) y=4
Equation
(b) y=-4x²+3
(c) y=7x+2
(d) y=-x
Is the equation linear?
Yes
No
Answer:
(a) yes
(b) no
(c) yes
(d) yes
Step-by-step explanation:
You want to know which of these equations is linear.
y = 4y = -4x² +3y = 7x +2y = -xLinear equationFor the purpose here, we will define a linear equation as one that graphs as a straight line. (Other definitions may give different answers.)
In general, a linear equation will have a highest degree of 1. (It may be 0.)
The equation of choice (b) has degree 2, so is not a linear equation.
GraphThe attached graph shows the only equation that is not linear is choice (b).
__
Additional comment
In some branches of mathematics, an equation of the form y = mx+b is not a linear equation. In basic algebra, that is the model of a linear equation, for any values of m and b.
Montoya has carefully cut out a perfectly square section of graph
paper. She counts all the blocks in the square, then takes a square root
of this number. Will Montoya's square root equal the number of
blocks in one side of the graph-paper square? Explain.
Answer: Yes, Montoya's square root will equal the number of blocks in one side of the graph-paper square.
Step-by-step explanation: The square root of a number is the number that, when multiplied by itself, produces the original number. For example, the square root of 16 is 4, because 4 * 4 = 16.
If Montoya has cut out a perfectly square section of graph paper, the number of blocks in the square will be the same as the number of blocks in one side of the square multiplied by the number of blocks in the other side of the square. In other words, the number of blocks in the square will be the square of the number of blocks in one side of the square.
Therefore, when Montoya takes the square root of the number of blocks in the square, she will get the number of blocks in one side of the square.
For example, if Montoya's square has 4 blocks on each side, the number of blocks in the square will be 4 * 4 = 16, and the square root of 16 will be 4, which is the number of blocks in one side of the square.
28% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
The probability distribution that the number of U.S. adults who favor the use of unmanned drones by police agencies is
(a) exactly three :-= 0.251
(b) at least four:-= 0.445
(c) less than eight:-= 0.994
What is probability distribution?
The probabilities of any random occurrence are determined by the probability distribution. It is sometimes described as a collection of potential results from any random experiment depending on the underlying sample space. A set of real numbers, a set of vectors, or a set of any other things might make up these settings. It is a component of statistics and probability.
The outcome of an experiment whose results cannot be anticipated is known as a random experiment. Imagine that we can't foresee whether a coin will land on its head or its tail when we throw one. An outcome is a potential outcome of a random experiment. The collection of results is known as a sample point.
X ~ Bin ( n , p)
Where n = 12 , p = 0.28
Binomial probability distribution is
P(X) = nCx * px * ( 1 - p)n-x .
a)
P(X = 3) = 12C3 * 0.283 * ( 1 - 0.28)9
= 0.251
b)
P(X >= 4) = 1 - P(X <= 3)
= 1 - [ P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) ]
= 1 - [ 12C0 * 0.280 * ( 1 - 0.28)12 +12C1 * 0.281 * ( 1 - 0.28)11 +12C2 * 0.282 * ( 1 - 0.28)10 +12C3 * 0.283 * ( 1 - 0.28)9 ]
= 0.445
c)
P(X < 8) = 1 - P(X >=8)
= 1 - [ P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) ]
= 1 - [ 12C8 * 0.288 * ( 1 - 0.28)4 +12C9 * 0.289 * ( 1 - 0.28)3 +12C10 * 0.2810 * ( 1 - 0.28)2 +
12C11 * 0.2811 * ( 1 - 0.28)1 +12C12 * 0.2812 * ( 1 - 0.28)0 ]
= 0.994
Learn more about Probability Distribution from the link below
https://brainly.com/question/14210034
#SPJ1
Please helpp absolute value
-|f| = -16
A) no solution
B) one solution
C) two solution
Which expressions are equivalent to this expression? y + y + y + 3z
The expressions that are equivalent to the expression y + y + y + 3z are 3y + 3z and 3(y + z)
How to determine the expressions that are equivalent?From the question, we have the following parameters that can be used in our computation:
y + y + y + 3z
To start with, expressions that are equivalent are expressions that have equal values when evaluated
Using the above as a guide, we have the following:
Evaluate the like terms in y + y + y + 3z
So, we have the following representation
y + y + y + 3z = 3y + 3z
Factor out 3 from the expression
So, we have the following representation
y + y + y + 3z = 3(y + z)
Hence, the equivalent expressions of y + y + y + 3z are 3y + 3z and 3(y + z)
Read more about equivalent expressions at
https://brainly.com/question/15775046
#SPJ1
What is the rate of change of the function Y= -3/2x + 2 PLEASE HELP I MEED HELP ASAP
Answer:
-3/2
Step-by-step explanation:
rate of change is slope
−5d−5(−0.8d−0.7)??????????????????
Answer: -d + 3.5
Step-by-step explanation:
Expand the brackets to
-5d + 4d +3.5
Add similar elements/ like terms
= -d +3.5
im having trouble again...
its not my day today with math, im so confused i need help :(
Answer:
Answer = 8 books every month
Step-by-step explanation:
Queuing system A has a utilization of 80 percent, and queuing system B has a utilization of 90 percent. Both have single server. Say, the utilization of both systems increases by 5 percent; that is, A increases from 80 percent to 85 percent while B increases from 90 percent to 95 percent. Which system is likely to experience the smaller increase in the average time in queue?
a) System A
b) System B
c) Time in queue for each system will increase by the same amount.
d) More information is needed to determine which has a bigger change in average time in queue
(b) System B is likely to experience a smaller increase in the average time in queue.
As utilization increases, the length of time in line grows more quickly. So a 5% increase in utilization has a larger effect from 90% to 95% than from 80% to 85%.
When you use something, you use it, whether it's a tool—like when you write something down with a pen—or a talent or skill—like the speed you use when you run a race. Utilization is the act of using something, such as using your voice to sing a song. It may be necessary for a team to use a gym for practices until the rain stops.
To learn more about increase here:
https://brainly.com/question/14548066
#SPJ4
You install 402 feet of fencing along the perimeter of a rectangular yard. The width of the yard is 100 feet. What is the length of the yard? The length of the yard is __ feet.
◄) Cora's city took a survey about a plan for a new park. The city surveyed 5,000 people
84% of the people surveyed liked the plan for the park. How many people liked the plan?
Mohal is going to invest $830 and leave it in an account for 8 years. Assuming the interest is compounded daily, what interest rate, to the nearest hundredth of a percent, would be required in order for Mohal to end up with $1,110?
The interest rate, to the nearest hundredth of a percent, that would be required in order for Mohal to end up with $1,110 would be = 4.2%
What is interest rate?The interest rate of an investment is defined as the rate at which an individual receives stipulated amount of money for a period of time over the investment made.
The amount for investment (P) = $830
The time for investment(T) = 8 years
The simple interest yield(SI) = $1,110 -830 = 280
The rate(R) = x%
using the formula;
Simple interest = P×T×R/100
Make R the subject of formula;
R= SI ×100/P×T
R= 280×100/830×8
R= 28000/ 6,640
R= 4.2%
Learn more about simple interest here:
https://brainly.com/question/25793394
#SPJ1
Write y=2/3x+7 in standard form
Step-by-step explanation:
y = 2/3x + 7
Multiply both sides by 3 to get rid of the fraction 2/3
3y = 2x +21
subtract 2x from both sides
3y - 2x = 21
Answer ofc is 3x - 2y = 21
Please rate if you get the answer right.
Market reearch firm ha hired operator who conduct telephone urvey. A computer
i ued to randomly dial a telephone number, and the operator ak the anwering peron
whether he ha time to anwer ome quetion. Let Y
= the number of call made until the
firt peron replie that he i willing to anwer the quetion. I thi a binomial e
xperiment?
Explain
The random variable Y does not have a binomial distribution, therefore this is not a binomial experiment
Here, a computer is used to randomly dial a telephone number
Then the operator asks the answering person whether she has time to answer some questions.
Y is the number of calls made until the first person replies that she is willing to answer the questions
There is no independent variable the affect the value of the Y. here the number of trial are not fixed, so there wont be any binomial distribution
Therefore, this is not a binomial experiment, because y does not have a binomial distribution
Learn more about binomial distribution here
brainly.com/question/7283210
#SPJ4
find a recurrence relation for the number of bit strings of length n that contain three oconsecutive 0
A recurrence relation is an equation in mathematics that states that the nth term of a series of numbers is equal to some combination of the terms that came before it.
What is recurrence relation ?A recurrence relation is an equation in mathematics that states that the nth term of a series of numbers is equal to some combination of the terms that came before it.
For a parameter k that is independent of n, only k preceding terms of the sequence frequently occur in the equation; this number k is known as the order of the relation.
The rest of the series can be determined by continually using the equation if the values of the first integers in the sequence have been provided.
The nth term in linear recurrences is equivalent to a linear function of the k prior terms. The Fibonacci numbers' recurrence is a well-known example.
Hence, A recurrence relation is an equation in mathematics that states that the nth term of a series of numbers is equal to some combination of the terms that came before it.
Learn more about recurrence relation click here:
https://brainly.com/question/4082048
#SPJ4
g ten random numbers are drawn from a standard normal distribution. what is the probability that at least one will exceed 2.66? round your answer to three decimal places.
The probability that at least one of ten random numbers drawn from a standard normal distribution will exceed 2.66 is 0.045.
This can be calculated using the complementary probability formula, which is 1 - P(x ≤ 2.66), where P(x ≤ 2.66) is the probability that all ten numbers are less than or equal to 2.66.
The probability that all ten numbers are less than or equal to 2.66 can be calculated using the normal distribution function, which gives the probability that a random variable x follows a normal distribution with mean μ and standard deviation σ. For a standard normal distribution, the mean is 0 and the standard deviation is 1, so the probability that all ten numbers are less than or equal to 2.66 can be calculated as:
P(x ≤ 2.66) = Φ(2.66)^10where Φ(x) is the normal distribution function.
Substituting this value into the complementary probability formula, we get:
1 - P(x ≤ 2.66) = 1 - Φ(2.66)^10 = 0.045Thus, the probability that at least one of ten random numbers drawn from a standard normal distribution will exceed 2.66 is 0.045.
Learn more about Probability here:
https://brainly.com/question/251701
#SPJ4
Find the value of x in the trapezoid below. Type only the numerical answer.
Check the picture below.
5 plus what equals -6
Answer:
Step-by-step explanation:
-1
Answer:
-11
Step-by-step explanation:
Equation:
5+x=-6