The expression is written as (4n/9) + 14
What is an expression?
An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. To assist identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. Many writers differentiate between an expression and a formula, with the former referring to a mathematical item and the latter referring to a statement about mathematical things. For instance, is a formula. However, in modern mathematics, and particularly in computer algebra, formulae are considered as expressions that may be evaluated as true or false based on the values assigned to the variables in the expressions.
The expression is written as (4n/9) + 14
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The sum of three numbers is 107. the second number is 7 less than the first. The third number is 2 times the second. What are the numbers?
In a two digit number, the tens digit s twice the ones digit. the diffrence of the ones digit and half the tens digit is 0. An equation created to find the digit in the ones place will have:No solutionOne soulutionMany solutions
let
the two digit = xy
x= tens digit
y = ones digit
2x = y
[tex]\begin{gathered} y-\frac{1}{2}(2x)=0 \\ y-x=0 \end{gathered}[/tex]2x - x =0
x = 0
write an equation of the line that passes through the points in the table x=0,1,2,3 y=10,7,4,1
Equation of the line that passes through the points in the table:
x=0,1,2,3
y=10,7,4,1
is y = -3x + 10
What is Equation of the Line?
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Key Concept. Y = mx + c is the equation for a straight line with a gradient of m and an intercept of c on the y-axis.
Since, The Equation of the line:
y = mx + b
where m is the slope
For finding slope passing through (0,10) and (1, 7)
m = (y2 - y1)/(x2 - x1)
m = (7 - 10) / (1 - 0)
m = -3/1
m = -3
Therefore, the slope of the line is −3.
Now use the slope and either of the two points to find the y-intercept.
y=mx+b
10 = (-3)(0) + b
10 = b
Write the equation in slope intercept form as:
y=mx+b
y = -3x + 10
Hence, the equation of the line is y = -3x + 10
Now, for other two points (2, 4) and (3, 1)
For finding slope passing through (2, 4) and (3, 1)
m = (y2 - y1)/(x2 - x1)
m = (1 - 4) / (3 - 2)
m = -3/1
m = -3
Therefore, the slope of the line is −3.
Now use the slope and either of the two points to find the y-intercept.
y=mx+b
4 = (-3)(2) + b
4 = -6 + b
4+6 = b
b = 10
Write the equation in slope intercept form as:
y=mx+b
y = -3x + 10
Hence, the equation of the line is y = -3x + 10
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what is 7754-(9x34)+667
Answer:
the answer is 8115
Step-by-step explanation:
you do 9 times 34 which is 306. then u do 7754 minus 306 which is 7448. then u add 667 to that which is 8115.
equation [tex] - 3 - 4x \leqslant 21.[/tex]solve..........
In the las t image you can see that when you multiply both sides of the inequality for ( - 1 ) the symbol less than or equal changes to greater than or equal
The number of bacteria present after t hours is given by the function B = 100e^0.563t. How many bacteria will there be after 4 hours? Round to the nearest whole number and label your answer.
Answer;
[tex]B\text{ = 951}[/tex]Explanation;
Here, we want to get the number of bacteria that will be present after 4 hours
What we have to do here is to substitute 4 for t in the equation of the model given
Mathematically, we have this as;
[tex]\begin{gathered} B=100e^{0.563t} \\ B=100e^{(0.563\times4)} \\ B\text{ =950.67 = 951} \end{gathered}[/tex]Please help!!!!!!! I am stuck and don't understand
Given that f(x)=x^2-x and g(x)=3x+9, Find
(A) (f+g)(-2)=
(B) (f-g)(-2)=
(C) (fg)(-2)=
(D) (f/g)(-2)=
The value of the following composite function is as follows:
(f + g)(-2) = 5(f - g)(-2) = - 5(fg)(-2) = 18(f/g)(-2) = 2How to solve composite function?The composite functions can be solved as follows:
Therefore, the given function are:
f(x) = x² - x
g(x) = 3x + 9
Hence,
a.
(f + g)(-2) = f(-2) + g(-2)
f(-2) + g(-2) = (2)² - 2 + 3(-2) + 9
f(-2) + g(-2) = 4 - 2 - 6 + 9
f(-2) + g(-2) = 5
Therefore, the function (f + g)(-2) = 5
b.
(f - g)(-2) = f(-2) - g(-2)
f(-2) - g(-2) = (2)² - 2 - (3(-2) + 9)
f(-2) - g(-2) = 4 - 2 - 3
f(-2) - g(-2) = -5
Therefore, the function (f - g)(-2) = - 5
c.
(fg)(-2)= f(-2) × g(-2)
f(-2) × g(-2) = (-2)² - (-2) × 3(-2) + 9
f(-2) × g(-2) = 4 + 2 × 3
f(-2) × g(-2) = 6 × 3
f(-2) × g(-2) = 18
Therefore, the function (fg)(-2) = 18
d.
(f/g)(-2) = f(-2) / g(-2)
f(-2) / g(-2) = -2² - -2 / 3(-2) + 9
f(-2) / g(-2) = 6 / 3
f(-2) / g(-2) = 2
Therefore, the function (f/g)(-2) = 2
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Write the correct equation for the following statement.
You decide to rent a limo for prom. The rate is $175 plus $5 per mile
traveled. Write an equation to calculate your total cost (c) at the end of
the evening for a given number of miles (m).
If you travel 45 miles what will be your total bill at the end
of the evening?
The most appropriate choice for equation and linear equation will be given by-
c = 175 + 5m is the equation for calculation of total cost (c) at the end of
the evening for a given number of miles (m).
For travelling 45 miles, total cost at the end of the evening is $400
What is equation and linear equation?
A statement that shows the equality between two mathematical expressions by connecting the two mathematical expression with an equal to (=) sign is called equation.
A one degree equation is known as linear equation.
Here,
Let the number of miles be m
Fixed cost for renting a limo for prom = $175
For travelling one mile by limo, amount charged = $5
For travelling m miles by limo, amount charged = $5m
Total cost for renting a limo for pron = $(175 + 5m)
By the problem,
c = 175 + 5m
This is the equation for calculation of total cost (c) at the end of
the evening for a given number of miles (m).
Now,
Putting m = 45 in the above equation,
[tex]c = 175 + 5 \times 45\\c = 175 + 225[/tex]
[tex]c =[/tex] $[tex]400[/tex]
For travelling 45 miles, total cost at the end of the evening is $400
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Use the following graph of quadratic function f(x)=x2+2x−3 to answer the question. The graph of the function f(x) as described in the problem passing through (-3, 0), (-1, -4) & (1, 0). Which of the following domain restrictions allow an inverse function?There is more than one correct answer. Select all correct answers.
Looking at the graph of f(x), we can see that some values of y have two corresponding values of x.
Since the inverse function changes y with x and vice versa, there will be values of x that will have more than one corresponding value of y, this way it will not be a function.
In order to ensure that f(x) has an inverse function, we need a domain restriction that makes every value of y have only one corresponding value of x.
The domain restrictions that cause every value of y to have only one corresponding value of x are:
x >= -1
x <= -1
0 <= x <= 3
Therefore the correct options are the first, third and fourth options.
For every five 'g's in the drama club, there are 4 'b's in the club. Suppose there are 24 'b's participating in drama club. How many 'g's are there?
There is 30 ‘g’s in the club by using proportions.
What is proportion?
Mathematically compare two numbers by comparing them proportionally. In terms of proportion, two sets of given numbers are said to rise or decrease in the same ratio if they are directly proportionate to one another.
Two ratios are said to be in proportion when they are the same. For instance, a train needs to cover 250 kilometers in 5 hours if it is moving at a speed of 50 kilometers per hour. 250 km/5 hours at 50 km/h, for instance.
Given, for 5 ‘g’ there are 4 ‘b’
There are 24 ‘b’ in drama club,
g = 24/4×5
g=30
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help me with the last question pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
d
Step-by-step explanation:
The number of years must be non-negative.
This eliminates all of the options except for d.
Based on a poll,67 % of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among 4 randomly selected Internet users, at least one is more careful about personal information when using a public Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to respond?
The probability that among 4 randomly selected Internet users, at least one is more careful is 0.988.
Because of the bias toward convenience when retrieving the sample, the outcome might be higher. because respondents to the survey were chosen voluntarily, not at random.
What is probability?Calculating the likelihood of an event occurring, which is represented as a number between 1 and 0, is the subject of the mathematical branch known as probability. A coin toss, for instance, has a probability of 1 because, assuming the coin lands flat, there are only two possible outcomes: "heads" or "tails."
This means that any event with this probability is guaranteed to occur. For instance, a coin toss has an equal chance of coming up "heads" or "tails," so an event with a probability of.5 can be regarded as having equal odds of happening or not happening.
According to the poll, 67% of Internet users are more careful about personal information when using a public Wi-Fi hotspot.
Which means the probability of more careful is 0.67
And probability of not careful is: 1-0.67 = 0.33
We have selected four random Internet users and we need to find the probability that at least one is more careful about personal information.
P(At least one careful) = 1 - P(None of them careful)
P(At least one careful) = 1 - (0.33×0.33×0.33×0.33)
P(At least one careful) = 1 - 0.012
P(At least one careful) = 0.988
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Factor out the GCF in the polynomial 18x-12
I will give Brainiest
Answer:
The answer is -2.93333 or -44/15
Answer:
See below
Step-by-step explanation:
(1.6 )( 2 1/6 -4)
1.6 ( -1 5/6) =-2.93333 or -2 14/15
help me pleaseeeeeeeeeeeeeeeeeeeeeeeee !!!
Answer:
f(x) = 5/6x +21
Step-by-step explanation:
You want the equation of the line with slope 5/6 through point (-18, 6) written using function notation.
Point-slope formGiven a slope and a point, it can be useful to write the equation of the line in point-slope form:
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
The line of interest has slope m = 5/6 through point (h, k) = (-18, 6), so its equation can be written as ...
y -6 = 5/6(x -(-18))
y = 5/6x +15 +6 . . . . . eliminate parentheses, add 6
y = 5/6x +21
Function notationFunction notation gives a name to the relation, and identifies the independent variable. We want to call this f(x), meaning the name of the relation is "f", and the independent variable is "x". Essentially, "f(x)" replaces "y" in the above equation:
f(x) = 5/6x +21
Greg the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 5 clients who did Plan A and 3 who did Plan B. On Thursday there were 2 clients who did Plan A and 12 who did Plan B. Greg trained his Wednesday clients for a total of 9 hours and his Thursday clients for a total of 9 hours. How long does each of the workout plans last?
The workout plan A lasts 1 hour and 30 mins and the workout plans B last around 30 mins only, solved through elimination method.
What is elimination method?The equations are either added or subtracted to create an equation in one variable when using the elimination method. When two variables' coefficients are in opposition to one another, you add the equations to eliminate that variable, and when they are equal, you subtract the equations to do the same.
Let the time taken for plan A be x
and the time taken for plan B be y
Then the equation forms
Wednesday = 5x + 3y = 9 hours
Thursday = 2x + 12y = 9 hours
Lets solve this with elimination method
5(2x + 12y = 9 hours)
-2(5x + 3y = 9 hours)
⇒ 10x + 60y = 45 hours
-(10x + 6y = 18 hours)
0 + 54y = 27 hours
⇒ y = 27/54 hours
y = 1/2 hours
y = 30 mins
Substituting the value of y in 2x + 12y = 9 hours,
2x + 12(0.5)= 9 hours
2x + 6 = 9 hours
2x = 3 hours
x = 3/2 hours
x = 1 hour 30 mins
Thus, the workout plan A lasts 1 hour and 30 mins and the workout plans B last around 30 mins only.
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distribute 2(3x - 1) =
Given:
2(3x - 1)
Let's distrubute 2 to the terms in the parenthesis.
To distribute, use distributive property to distribute 2 to (3x - 1).
Thus, we have:
2(3x - 1)
= 2(3x) + 2(-1)
= 6x + -2
= 6x - 2
ANSWER:
6x - 2
2(x-5)+7=x+8
What’s x equal?
Answer: x = 11
Step-by-step explanation:
We can solve for x by isolating the variable with inverse operations.
Given:
2(x - 5) + 7 = x + 8
Distirbute:
2x - 10 + 7 = x + 8
Combine like terms:
2x - 3 = x + 8
Add 3 and subtract x from both sides of the equation:
x = 11
6. Taylor lost 5 chips to Minnie while playing a card game. Taylor then lost 20 chips toSally in the second round. Taylor won 10 chips from Paul in the 3rd round. Howmany chips did Taylor make or lose during these 3 rounds?
Step 1
[tex]\begin{gathered} \text{Given; } \\ \text{Taylor lost 5 chips to Minnie in round 1} \\ \text{Taylor lost 20 chips to Sally in round 2} \\ \text{Taylor won 10 chips from Paul in the 3rd round.} \end{gathered}[/tex]Step 2
Find how many chips Taylor made or lost during these 3 rounds.
[tex]\begin{gathered} \text{Taylor made 10 chips} \\ \text{Taylor lost (20+5) chips} \end{gathered}[/tex][tex]\begin{gathered} \text{Total chips made or lost= 10+(-25)} \\ \text{Total chips made or lost}=10-25=-15 \\ \text{The negative sign means he lost chips} \end{gathered}[/tex]
Since the total number of chips made or lost = -15, then Taylor lost 15 chips during the 3 rounds. If it where to be positive, then it woud have ment Taylor won some chips.
Therefore, Taylor lost 15 chips in the 3 rounds
Write a quadratic function in standard form containing the point (5,-6) and
x-intercepts -1 and 4.
Answer:
28th 5577e535r5ytt
Step-by-step explanation:
so h just Aliquippa well all am to PIZ well keep.
What is the correct answer there are more selective choices I’ll show you later
Devaughn is 8 years older than Sydney. The sum of their ages is 84. What is Sydney's age?
Answer:
Sydney should be 25 years old
Step-by-step explanation:
Answer:
Sydney is 38 years old.
Step-by-step explanation:
Devaughn is 46 years old, so 46 + 38 = 84.
Subtract 38 from 46.
46 - 38 = 8.
This concludes that Sydney is 38 years old.
Brainliest would mean a lot to me! Thanks!
The chart shows the distances Steve ran during the week. According to the chart above, how much farther did Steve run on Wednesday than Monday?
Select all correct solutions for the equation.
15(2x - 10) + 4x = -2(15x + 4)
A. x = 2.21875
B. x = 14264x = 14264
C. x = 35.5
D. x = 7132x = 7132
E. x = 39.5
F. x = 792x = 792
G. x = 714
Answer:
Step-by-step explanation:
We can rewrite:
15(2x-10) + 4x = -2(15x+4)
gives
30x - 150 + 4x = -30x -8
Adding 30x on both sides and adding 150 on both sides gives us:
30x + 4x - 150 + 30x + 150 = -30x - 8 + 150 + 30x
which gives us: 64x = 142
We can now divide both sides by 64, which gives us:
x = 142 / 64 = 2.21875
So the only right answer is A
You can fill in all the other options into the starting equation if you want too see this is indeed true
a. What is the dependent variable?b. What is the independent variable?c. What is the slope (rate of change) of the line?d. What does this number mean for the circus?e. What is the y-intercept (initial condition) of the line? Why?
Part (a)
The dependent variable should be y for a function y=f(x).
Therefore, in this case dependent variable is profit
Part (b)
The independent variable is number of tickets sold.
Part (c)
Consider two coordinates in the graph (40,60) and (20,30).
Then, the slope will be,
[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ =\frac{60-30}{40-20} \\ =1.5 \end{gathered}[/tex]Therefore, the avlue of slope is 1.5.
Part (d)
The slope is the rate of change profif with repect to the number of tickets sold for a circus.
Part (e)
From the graph, it can be noted that the y intersept is 0. Because intitial point is (0,0).
8. Solve:
The cd player costs $45 and is sells for $69. Find the mark up rate.
Answer:
53.3333333+ %In 3 decimal places (if you prefer):
53.333 %Step-by-step explanation:
mark up rate = gross profit/ cost (expressed as a percentage)
gross profit = sale price - cost
mark up rate = (69-45)/45 *100
=24/45 * 100
= 53.333%Answer:
53.33%
Step-by-step explanation:
Hello!
First, let's find out how much the cost went up:
69 - 4524The cost went up by 24 dollars. To find the markup, we have to see what percentage of 45 is 24.
24/45 * 1000.5333... * 10053.33 %The markup is 53.33 percent.
Kuta Software - Infinite Algebra 2 Factoring By Grouping Factor ench completely. 1) 12a-9a? +40 - 3 Name Sarn on the ears Date : 120, 37443 4ac3a ²+1)-3(3u341) ta 2373 (403) 2) 2p'+ 5p² +6p+ 15 apstept sport 2plpa
Factor the expression.
[tex]\begin{gathered} 90au-36av-150yu+60yv=90au-150yu+60yv-36av \\ =30u(3a-5y)-12v(3a-5y) \\ =(3a-5y)(30u-12v) \\ =(3a-5y)(6\cdot5u-6\cdot2v) \\ =6(3a-5y)(5u-2v) \end{gathered}[/tex]So answer is,
[tex]6(3a-5y)(5u-2v)[/tex]I need help with this practice problem solving The subject, I believe, is complex numbers and vectors
Given:
Given that
[tex]r=\frac{5}{3\sin\theta-\cos\theta}[/tex]Required: Convert to rectangular form.
Explanation:
The given equation in polar can be written as
[tex]\begin{gathered} r(3\sin\theta-\cos\theta)=5 \\ 3r\sin\theta-r\cos\theta=5 \end{gathered}[/tex]Substitute
[tex]x=r\cos\theta,y=r\sin\theta[/tex]Then the equation becomes 3y - x = 5.
Solve for y.
[tex]\begin{gathered} 3y=x+5 \\ y=\frac{1}{3}x+\frac{5}{3} \end{gathered}[/tex]Final Answer:
[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]Consider the system of equations.
2x+y=1−3x+4y=15
How can the system of equations be solved using Cramer's rule?
Drag a value or determinant expression into each box to correctly solve the system using Cramer's rule.
The solutions are x = -1 and y = 3 of the given system of equations 2x+y=1, −3x+4y=15 which is determined by Cramer's rule.
We put the tiles in the right order and entered the final result for each x and y.
The main principle is to split determinants as shown by the vertical bars (these are not absolute value bars).
The determinant of the matrix [tex]\begin{bmatrix}2 & 1 \\-3 & 4 \\\end{bmatrix}[/tex], which are the coefficients of the left-hand side of each original equation supplied to you, is in each denominator.
This matrix's numerators are somewhat different. The x determinant requires you to replace the first column with 1 and 15 to produce [tex]\begin{bmatrix}1 & 1 \\15 & 4 \\\end{bmatrix}[/tex], which aids in determining the x solution. The y solution is similar, except we replace the y column rather than the x column. This explains the [tex]\begin{bmatrix}2 & 1 \\-3 & 15 \\\end{bmatrix}[/tex].
You just evaluate each determinant using the formula once you have the right determinants in place and then simplify the outcomes.
Thus, the solutions are x = -1 and y = 3 of the given system of equations 2x+y=1, −3x+4y=15 which is determined by Cramer's rule.
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Help me please ghhyffhbhvhbhbhbh
Answer:
H or 1 7/12
Step-by-step explanation:
because 1/3,3/4,1/2 can all multiply to get 12 as the denominator or 3x4=12
2x6=12 4x3=12 so _/12 then on 1/3 you multiplied 3x4 so you multiply 1x4 to get 4 so 4/12 then 3/4 x3=9/12 last 1/2 x 6=6/12
4/12+9/12+6/12=1 7/12
[tex] \frac{1}{3} + \frac{3}{4} + \frac{1}{2} [/tex]
Question above
[tex] \frac{4 + 9 + 6}{12} [/tex]
Transform the expression
[tex] \frac{19}{12} [/tex]
Answer
[tex]1 \frac{7}{12} [/tex]
Alternative form
Thus, H is the answerHope it helps you...Mark as brainliest answer.