Make x the subject of the formula a = b x + c
Answers
Answer:
\( x = \frac{a - c}{b}\)
Step-by-step explanation:
\(a = bx + c \\ \\ a - c = bx \\ \\ \orange{ \bold{x = \frac{a - c}{b}}} \)
Related Questions
Which of the following measures could be used to make triangle?
2,9, 12
4,4,7
3,5,8
Answers
3,5,8. I think.
have a great day :)
Find the surface area of each solid figure
Answers
Answer:
Step-by-step explanation:
Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
Answers
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
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An urn contains p black balls, q white balls, and r red balls; and n balls are chosen without replacement. a. Find the joint distribution of the numbers of black, white, and red balls in the sample. b. Find the joint distribution
Answers
The joint distribution of the numbers of the three colours in the sample without replacement is:
\(\mathbf{P(A=a,B=b,C=c) = \dfrac{\Big( ^{p}_{ A} \Big) \Big( ^{q}_{ B} \Big) \Big( ^{r}_{ C} \Big) }{ \mathbf{\Big( ^{p+q+r}_{ \ \ \ n} \Big) } }\ \ \ \ where; n = A+B+C}\)
Let consider A, B, and C to denote the three variables that are black, white, and red balls in the sample.
i.e.
n = A + B + C
Now, the numbers of ways 'n' balls are chosen without replacement in an urn that comprises of p black balls, q white balls, and r red balls can be computed as follows:
\(\mathbf{\implies \Big( ^{p+q+r}_{ \ \ \ n} \Big) }\)
Now, the number of ways whereby A black balls can be chosen from p black balls is expressed as:
\(\mathbf{\implies \Big( ^{p}_{ A} \Big) }\)
The number of ways whereby B white balls can be chosen from q white balls is expressed as:
\(\mathbf{\implies \Big( ^{q}_{ B} \Big) }\)
The number of ways whereby C red balls can be chosen from r red balls is expressed as:
\(\mathbf{\implies \Big( ^{r}_{ C} \Big) }\)
Therefore, we can conclude that the joint distribution of the numbers of the three colours in the sample without replacement is:
\(\mathbf{P(A=a,B=b,C=c) = \dfrac{\Big( ^{p}_{ A} \Big) \Big( ^{q}_{ B} \Big) \Big( ^{r}_{ C} \Big) }{ \mathbf{\Big( ^{p+q+r}_{ \ \ \ n} \Big) } }\ \ \ \ where; n = A+B+C}\)
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An online company is expanding their website to properly fit Farias mobile devices such as tablets and smart phones the original website was designed for screen dimensions of 16” x 9” on the screen the local has an area of 8 in.² the following table lists dimensions of the screens at five mobile devices they are doing research on
Answers
Answer:
Step-by-step explanation:
In order to properly fit the website for Faria mobile devices such as tablets and smartphones, the company will need to make sure that the website is optimized for different screen sizes. The original website was designed for a screen dimension of 16" x 9", but mobile devices have varying screen sizes. The company can use the dimensions listed in the table to ensure that the website looks and functions properly on the five mobile devices they are researching.
Car A is rated at 32 mi/gal (miles per gallon) for city driving and 30 mi/gal for highway driving. Car B is rated at 29 mi/gal city and 36 mi/gal highway. How many gallons of gas would each vehicle consume for the following amounts of driving? (a) 300 mi of city driving plus 100 mi of highway driving (b) 100 mi of city driving plus 300 mi of highway driving
Answers
(a) For 300 miles of city driving plus 100 miles of highway driving:
For Car A:
City driving: 300 miles / 32 mi/gal = 9.375 gallons
Highway driving: 100 miles / 30 mi/gal = 3.333 gallons
Total gas consumption for Car A: 9.375 gallons + 3.333 gallons = 12.708 gallons
For Car B:
City driving: 300 miles / 29 mi/gal ≈ 10.345 gallons
Highway driving: 100 miles / 36 mi/gal ≈ 2.778 gallons
Total gas consumption for Car B: 10.345 gallons + 2.778 gallons ≈ 13.123 gallons
(b) For 100 miles of city driving plus 300 miles of highway driving:
For Car A:
City driving: 100 miles / 32 mi/gal ≈ 3.125 gallons
Highway driving: 300 miles / 30 mi/gal = 10 gallons
Total gas consumption for Car A: 3.125 gallons + 10 gallons = 13.125 gallons
For Car B:
City driving: 100 miles / 29 mi/gal ≈ 3.448 gallons
Highway driving: 300 miles / 36 mi/gal ≈ 8.333 gallons
Total gas consumption for Car B: 3.448 gallons + 8.333 gallons ≈ 11.781 gallons
Therefore, for the given driving distances, each vehicle would consume approximately:
(a)
Car A: 12.708 gallons
Car B: 13.123 gallons
(b)
Car A: 13.125 gallons
Car B: 11.781 gallons
Which of these is a complex number
Answers
Hope that helps
-4 is greater than of equal to x - 11
Answers
Using the inequality rule we know that 11 is greater than -11, (11 > -11).
What is an Inequality Equation?Mathematical expressions with inequalities are those in which the two sides are not equal.
Contrary to equations, we compare two values in inequality.
Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Two expressions in inequality aren't always equal, which is denoted by the symbols >, <, ≤, or ≥.
So, let's say the inequality equation looks like this: A
Right now, A is valued at
Let p be used to representing the initial number.
P equals 11, so
Let q be used to representing the second number.
Q has a value of -11.
-11 and 11 are both numbers that are greater than zero.
Then, 11 > -11 ... (1)
A has a value of 11 > -11.
Therefore, using the inequality rule we know that 11 is greater than -11, (11 > -11).
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Correct question:
Is 11 greater than, equal to, or less than -11?
Please help.. Please. Is this a positive trend or negative trend or no trend
Answers
Answer:
it's a no trend cause its literally nothing but dots
How would you graph the solutions to the inequality on a number line? k > 5
Answers
To graph the inequality k > 5 on a number line, mark an open circle at 5 and shade the region to the right.
To graph the solutions to the inequality k > 5 on a number line, follow these steps:
Draw a horizontal line and mark a point for the number 5 on the line.
-------------------|---|---|---|---|---|---|---|---|---|---|
0 1 2 3 4 5 6 7 8 9 10
Since the inequality is k > 5, the solution includes all values greater than 5. Therefore, draw an open circle (○) at the number 5 to represent that 5 itself is not included in the solution.
-------------------|---|---|---|---○---|---|---|---|---|---|
0 1 2 3 4 5 6 7 8 9 10
Shade the region to the right of the open circle. This shading represents all values that are greater than 5 and satisfy the inequality k > 5.
-------------------|---|---|---|---○===================>
0 1 2 3 4 5 6 7 8 9 10
The resulting number line graph illustrates that any value to the right of the open circle (excluding 5 itself) satisfies the inequality k > 5.
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Sam sold 75% of his cars. If he originally had 50 cars, how many cars did he sell? How many cars does he still have?
Answers
can someone help me with #6?
Answers
URGENT!!!!!! Find the value of q in the following system so that the solution to the system is——
Answers
====================================================
Explanation:
The left hand side of the first equation is x-3y
The left hand side of the second equation is 2x-6y = 2(x-3y). Note how it's simply double of the first expression x-3y
If we multiply both sides of the first equation by 2, we get
x-3y = 4
2(x-3y) = 2*4
2x-6y = 8
Meaning that 2x-6y = 8 is equivalent to x-3y = 4. Both produce the same line leading to infinitely many solutions. Each solution will lay along the line x-3y = 4.
We can say each solution is in the set {(x,y): x-3y = 4}
Which is the same as saying each solution is of the form (3y+4,y)
The assets and liabilities of a credit union banker are listed below.
Car Value $29,850
Car Loan $10,560
Savings Account Balance $12,409
Treasury Bonds $10,000
Student Loans $13,824
Credit Card Balance $8,051
Checking Account Balance $19,419
Home Value $194,450
What is the total net worth if the banker pays off the student loans?
Answers
Answer:
$247,517
Step-by-step explanation:
Hello,
Assets
(Car Value) $29,850
(Savings Account Balance) $12,409
(Treasury Bonds) $10,000
(Checking Account Balance) $19,419
(Home Value) $194,450
29850+12409+10000+19419+194450 = 266128
Liabilities
(Car Loan) $10,560
(Student Loans) $13,824 since the students loans are payed of we don't include it into the final net worth.
(Credit Card Balance) $8,051
10560+8051=18611
assets - liabilities = net worth
266128 - 18611 = 247517
So, if the banker pays off the students loans of a credit union banker their net worth will be $247,517.
Which graph represents y as a function of x?
A) A
B) B
C) C
D) D
Answers
Answer:
where is the graph if you can put it i will give you the answer
Step-by-step explanation:
Set up but do NOT evaluate the integral needed to determine the area A of the region between the two curves x = y3 – 4y2 + 3y and x+y=y? integrating over the y axis. Note that the three points of intersection are identified. x = y3 – 4y2 + 3y (12,4) x +y = y2 (0,1), -2 10 12 A =
Answers
The area A of the region between the two curves x = y^3–4y^2+3y and x+y=y^2 is 11.8334.
The graph of the question is given below:
We have to evaluate the integral needed to determine the area A of the region between the two curves x = y^3–4y^2+3y and x+y=y^2 i.e. x = y^2-y.
Now the area A of the given region is:
A = \(\int^1_{y=0}\left[g(y)-f(y)\right]dy+\int^4_{y=1}\left[g(y)-f(y)\right]dy\)
A = \(\int^1_{y=0}\left[(y^3-4y^2+3y)-(y^2-y)\right]dy+\int^4_{y=1}\left[(y^2-y)-(y^3-4y^2+3y)\right]dy\)
A = \(\int^1_{y=0}\left[y^3-4y^2+3y-y^2+y)\right]dy+\int^4_{y=1}\left[y^2-y-y^3+4y^2-3y)\right]dy\)
A = \(\int^1_{y=0}\left[y^3-5y^2+4y\right]dy+\int^4_{y=1}\left[5y^2-y^3-4y)\right]dy\)
Further simplification
A = \(\left[\frac{y^4}{4}-\frac{5y^3}{3}-\frac{4y^2}{2}\right]^1_{y=0}+\left[\frac{5y^3}{3}-\frac{y^4}{4}-\frac{4y^2}{2}\right]^4_{y=1}\)
A = \(\left[(\frac{1}{4}-\frac{5}{3}-2)\right-(0-0+0)]+\left[(\frac{320}{3}-64-32)\right-(\frac{5}{3}-\frac{1}{4}-2)]\)
A = (3-20+24)/12 + 320/3 - 96 - (20-3-24)/12
A = 7/12 + 32/3 + 7/12
A = (7+128+7)/12
A = 142/12
A = 11.8334
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David is preparing a report to show
Answers
Answer:
cool?
who's david den
Step-by-step explanation:
Answer:
He shoud use a table or chart.
Step-by-step explanation:
I answered this question before
The jacket at the department store originally cost $199. It was selling so well that the store decided to increase the price by 25 percent. What was the new cost of the jacket?
Answers
Answer:
$248.75
Step-by-step explanation:
25% more of 199 is 248.75
The maximum value of 12 sin 0-9 sin²0 is: -
Answers
Answer:
4
Step-by-step explanation:
The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)
If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0
However, I will assume you meant the angle to be \(\theta\) rather than 0 which makes sense and proceed accordingly
We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0
The original function is
\(f(\theta) = 12sin(\theta) - 9 sin^2(\theta)\)
Taking the first derivative of this with respect to \(\theta\) and setting it equal to 0 lets us solve for the maximum (or minimum) value
The first derivative of \(f(\theta)\) w.r.t \(\theta\) is
\(12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)\)
And setting this = 0 gives
\(12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0\)
Eliminating \(cos(\theta)\) on both sides and solving for \(sin(\theta)\) gives us
\(sin(\theta) = \frac{12}{18} = \frac{2}{3}\)
Plugging this value of \(sin(\theta)\) into the original equation gives us
\(12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4\)
This is the maximum value that the function can acquire. The attached graph shows this as correct
A car is traveling at a rate of 108 kilometers per hour. What is the cars rate in meters per second? How many meters will the car travel in 20 seconds?
Answers
Answer:
\(\frac{30meters}{second}\)
600meters
Step-by-step explanation:
Use conversion factors that represent 1. You can cross cancel wods just like numbers.
\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)
\(\frac{108000meters}{3600seconds}\)
\(\frac{30meters}{second}\)
\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)
600 meters
Helping in the name of Jesus.
What is the unknown angle b?
Answers
Answer:
48°
Explanation:
A line always equals 180°. The angle on the right is a 90° angle (we know this because or the little red box shown) and the angle in the middle is 42°. We would add 42° and 90° to get the combination of both which is 132°
42+90=132
Then subtract 132° from 180° to find unknown angle b.
180-132=48
Unknown angle b= 48°
Jane took 10 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day at the same boat speed took her 5 min. If the current in that part of the river is 10 km per hr, what was her boat speed in still water?
Answers
Answer: B = 15 kph or 15 kph
step by step
(b-5)*10=(b+5)*5
10b-50=5b+25
5b=75
b=15 kph in still water
2. Which ratio is equivalent to 5/8?
A: 9/12
B: 10/15
C: 15/24
D: 20/35
Answers
8 times 3 is 24 and 5 times 3 is 15.
Which expression is equivalent to
,10 ?
4
o
O x2.2
o
o 5
Answers
Answer:
The answer is A
Step-by-step explanation:
A bus traveling at a constant rate of 50 miles per hour. At this rate, how far will the bus travel 3 1/4 hours?
Answers
First, let's do the easy part! Multiplying 50 by 3 will give us how far the bus would travel in 3 hours. 50 x 3 = 150.
Now let's do the quarter. 50 / 4 = 12.5. Simply add these two together now!
The bus will travel 162.5 miles!
Hope this helps :)
f(x) = x2 + 1 g(x) = 5 – x
(f + g)(x) = (f – g)(x) =
Answers
Answer:
Step-by-step explanation:
Hello,
\(\forall x \in \mathbb{R} \\\\(f+g)(x)=f(x)+g(x)=x^2+1+5-x=x^2-x+4 \\\\(f-g)(x)=f(x)-g(x)=x^2+1-5+x=x^2+x-4\)
Thanks
Answer:
c for the first one and a for the second one
Step-by-step explanation:
just did it on edg
Jo has a 10 GB monthly cell phone plan. Jo has used 8 GB in the first 10 days of the month. At that rate, how many GB will Jo use after a month of 30 days?
Answers
Answer:
Step-by-step explanation:
1st 10 days - 8 GB
2nd 10 days - 8 GB
3rd 10 days - 8 GB
________________
30 days - 24 GB
10+11+x+y+12=32, 9+8+x+z+7=37 what is z-y
Answers
Answer: 12
The answer to this equation would be 12, I hope this helps.
Find the smallest positive integer k such that, for every positive integer n, 6n+k is relatively prime to each of 6n+3, 6n+2, and 6n+1.
Answers
Answer:
Use Mathpapa to find your answer.
Step-by-step explanation:
It's a good, and powerful program.
4) A can of juice contains 8% of vitamin A. How is this percent written as a decimal?
Answers
0.08
Step-by-step explanation:
When you convert percent to decimal, you have to remember that 1= the whole.
Do to convert it, you divide the whole number (8%) by 100 (0.08). Vice versa, you multiply by 100