Linear equation: Solve x1, x2, x3, in terms of y1,y2,y3
x1 + ax2 + bx3 = y1
x2 + cx3 = y2
x3 = y3
Answers
Answer:
x1 = y1 - a*y2 + (a*c - b)*y3
x2 = y2 - c*y3
x3 = y3
Step-by-step explanation:
Here we have the system:
x1 + a*x2 + b*x3 = y1
x2 + c*x3 = y2
x3 = y3
Where the variables y1, y2, and y3 are known (a, b and c are also known).
The first step is to isolate one of the variables in one of the equations, we can see that in the third equation we have x3 already isolated, so now we can just replace it on the other two equations to get:
x1 + a*x2 + b*(y3) = y1
x2 + c*(y3) = y2
Now we again want to isolate one of the variables in one of the equations, i will isolate x2 in the second equation to get:
x2 = y2 - c*y3
Now we can replace this on the other equation to get:
x1 + a*(y2 - c*y3) + b*y3 = y1
Now we canw write x1 in terms of the known variables:
x1 = y1 - a*y2 + (a*c - b)*y3
And in the process we also found that:
x3 = y3
x2 = y2 - c*y3
Then the solutions are:
x1 = y1 - a*y2 + (a*c - b)*y3
x2 = y2 - c*y3
x3 = y3
Related Questions
HELP ASAP!!!
Determine the direction in which the graph of the function f(x)=x^2+x-2 opens.
A.upward
B.downward
C.to the left
D.to the right
Answers
Answer:
A
Step-by-step explanation:
Since the leading coefficient of the function is greater than 0, then it opens upward.
make e the subject
e-5=2f
Answers
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
FREE BRANLEIST URGENT WITH EQUATION!! WILL REPORT AND GET BANNED IF LINKS AND INCORRECT ANSWERS
Answers
Answer:
ok so a it' probabily 21 or a number between 1-10
Step-by-step explanation:
Answer:
q.10 142 degree
q.11 x=11
q.12 complementary angles
1. At Store A, the price for pineapples is $5.00 for 2 pineapples.
2. At Store B, the price for pineapples is $8.00 for 4 pineapples.
Which store is offering the lower price per pineapple? Show your work or explain your answer.
Answers
Answer:
Store B
Step-by-step explanation:
If you divide 5 by 2, you get the unit price for Store A which is $2.50.
If you divide 8 by 4, you get the unit price for store B which is $2.00
Store B has a lower unit price than store A therefore Store B is offering the lower price per pineapple.
can someone help me with this? (assume that no variable equals 0)
Answers
Answer:
-4/3 m7y2
Step-by-step explanation:
use 3 to divide -9 &12For the letters you will use the same letter but subtract tue smaller from the bigger that is; m8-1 and y6-4 then you will get your answer but make sure the letters are where the bigger ones are before been subtractedWrite a system of linear inequalities represented by the graph.
Answers
Linear inequality represented by the graph is y > x/3
along with linear equations: y = x/3 and y = (x/3) - 2
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The first line passes through
(0, 0) and (3, 1)
The slope of line is m = 1-0/3-0 = 1/3
y intercept = 0
So the equation of line is y = x/3
As the shading is outside so y > x/3
Now let us find for second line
(-3, -3) and (3, -1)
slope m' = -1 - -3/3 - - 3 = 2/6 = 1/3
Now y intercept
-2 = m(0) + c
c = - 2
So equation is y = x/3 - 2
Hence, linear inequality y > x/3 and linear equations: y = x/3, y = x/3 - 2 represent the graph.
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Help plz I’ll mark brainliest
Answers
Answer: I believe the answer is B
Step-by-step explanation: Hope it helps :)
6 - (-6) I DONT understand this question
Answers
the negative cancels out so its just
6+6
(6x - 3y) -2(x + 4y)
Answers
Answer:
4x-11y
Step-by-step explanation:
How to solve your question
Simplify
(6−3)−2(+4)
(6x-3y)-2(x+4y)
(6x−3y)−2(x+4y)
Distribute
(6−3)−2(+4)
(6−3)−2−8
Eliminate redundant parentheses
(6−3)−2−8
6−3−2−8
Combine like terms
6−3−2−8
4−3−8
Combine like terms
4−3−8
4−11
The measure of an angle is 89º. Find the measure of its supplement
A) 91 degrees
B) 81 degrees
C) 90 degrees
D) 80 degrees
Answers
Answer:
The is A) 91
Step-by-step explanation:
limf(x) = 3 and lime(x) = -620. Given thatEvaluate the followinglim [f(x) * g(x)]g(x)-f(x)[A] -2[B] 5[C]2[D] -6ABO O O O
![limf(x) = 3 and lime(x) = -620. Given thatEvaluate the followinglim [f(x) * g(x)]g(x)-f(x)[A] -2[B] 5[C]2[D]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/DzwdoubGFAFYH276TDtbhMT01YSxOOg1.jpeg)
Answers
Determine the value of expression by using the properties of the limit.
\(\begin{gathered} \lim _{x\to c}\frac{\lbrack f(x)\cdot g(x)\rbrack}{g(x)-f(x)}=\frac{\lim _{x\to c}\lbrack f(x)\cdot g(x)\rbrack}{\lim _{x\to c}\lbrack g(x)-f(x)\rbrack} \\ =\frac{\lim _{x\to c}f(x)\cdot\lim _{x\to c}g(x)}{\lim _{x\to c}g(x)-\lim _{x\to c}f(x)} \end{gathered}\)Subtitute the given values of the function for the given in the given expression.
\(\begin{gathered} \frac{\lim _{x\to c}f(x)\cdot\lim _{x\to c}g(x)}{\lim _{x\to c}g(x)-\lim _{x\to c}f(x)}=\frac{3\cdot(-6)}{-6-3} \\ =\frac{-18}{-9} \\ =2 \end{gathered}\)So answer is 2.
A cyclist rode 3.85 miles in 0.7 hours. How fast was she going in miles per hour?
A. 3.85 miles per hour
B. 0.18 miles per hour
C. 5.5 miles per hour
D. 1.4 miles per hour
Answers
which graph represents the equation 2 x + y =2?
Answers
start by writing the equation in the slope-intercept form
\(\begin{gathered} 2x+y=2 \\ y=-2x+2 \end{gathered}\)this meand that the line has a slope of -2 and cuts the y-axis over 2.
the graph should look like this
Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
Answers
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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Multiply 0.035 times a power of ten so that the product is greater than 1, but less than 100. Write the expression.
Answers
Answer:
0.035 x 2^10
Step-by-step explanation:
(0.035). * (2^10) = (0.035) * (1,024) = 35.84
HELPPPPPPPP DUE TODAYYYY!!!!!!!!!!!!! WORTH 30 POINTS!!!!!!!!!
Answers
Answer:
4.5
Step-by-step explanation:
millie designed a rectangular label to put on the front of her scrapbook.the label was 5\12 foot wide and 5\6foot long what is the area of square feet of the label
Answers
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
Answers
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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how do i find the inverse of f(x)=\(\sqrt[3]{5x+5}\)
Answers
The inverse of f(x) = ∛5x + 5 is f⁻¹ = ( x³ - 5 ) / 5
What is inverse of function?
To find the inverse of a function, write the function y as a function of x i.e. y = f(x) and then solve for x as a function of y.An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y).Change y in for the f(x) :
y = ∛5x + 5
Switch the x and y
x³ = 5y + 5
x³ - 5 = 5y
y = ( x³ - 5 ) / 5
f⁻¹ = ( x³ - 5 ) / 5
Hence, The inverse of f(x) = ∛5x + 5 is f⁻¹ = ( x³ - 5 ) / 5
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Is it A or B .................................
Answers
Answer:
I am guessing B
Step-by-step explanation:
When I divided 10 by 11 it gave me 0.90 but when I did 3 by 3.75 I received 0.8
Answer:
B)
Step-by-step explanation:
3.75 ÷ 3 = 1.25 for U Rule.
11 ÷ 10 = 1.1 for Daren's.
-kiniwih426
-12x + 12 = -3(5x + 8)
Answers
Answer:
mememememwmwnwmwnwnwjkwjw
1/2(4x−5)+5/2=10
i will give brianliest
Answers
Answer:
x=5 :)
Step-by-step explanation:
Answer:
The required value of x for which the given equation is true is 5.
Step-by-step explanation:
What is the IQR of the following Data Set:
1, 3, 4, 5, 5, 7, 9
Answers
Hi there!
We can begin by splitting the data into two equal parts, ignoring the median.
The median is simply the number in the middle of the data, or 5.
Now, we can split the data, taking the three left numbers and the three right numbers.
We have:
Left: 1, 3, 4
Right: 5, 7, 9
Find the medians of these sections. These are the middle numbers again, so:
Left: 3
Right: 7
These are our 1st and 3rd quartiles, respectively. The IQR is the difference between these, so:
7 - 3 = 4 = IQR.
agrecks3. (a) Represent each pair of numbers on a number line and write down their relation using the < sign.(i) 3, -2(ii) -3, 1.5(iii) -1/2, -4
Answers
3,-2
Since -2 is a negative number. 3 is greater than -2
-2 < 3
(ii) -3,1.5
-3<1.5
(iii) -1/2 ,-4
-4<-1/2
A finance journal, which publishes research on current financial topics, states that the maturity term for a certificate of deposit is, on average, 10 years. A banker believes the average maturity term at their bank is different than the amount quoted in the finance journal. After completing a study, the banker found that the average maturity term for a certificate of deposit is 8 years, on average.
Required:
As the banker sets up a hypothesis test to determine if their belief is correct, what is the banker's claim?
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
In this the hypothesis is:
\(H_{0}:\mu=10\\\\H_{1}:\mu\neq10\)
The bankers assert that their bank's average maturity was distinct from that of ten years, that's why the hypothesis of the alternative.
The triangle shown below has an area of 16 units^2
Answers
Answer:
8
Step-by-step explanation:
base x height / 2 = the area
4 x h / 2 = 16
h = 8
so x is 8
Answer:
8
Step-by-step explanation:
i just took the quiz
what statements are true about this function
Answers
The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .
What is inverse of a function?An inverse function or an anti function, which can reverse into another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.
now the given functions are,
f(x) = √(2x + 2) and
g(x) = (x^2 -2)/2
Now,
f{g(x)} = f{(x^2 -2)/2}
= √(2(x^2 -2)/2 + 2)
= √ x^2 -2 + 2
f{g(x)} = √ x^2
f{g(x)} = x
Now,
g{f(x)} = g{ √(2x + 2)}
= (√(2x + 2)^2 -2)/2
= (2x + 2) -2 /2
= 2x/2
f{g(x)} = x
Here we see that ,
f{g(x)} = g{f(x)}
Hence f and g are not inverses.
∴The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .
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16. Which value of x makes the inequality true?
4x>1.2
Ox= -0.3
Ox= -0.5
O x = 0.3
Ox=0.5
Answers
The inequality is true for the value of x as 0.5. The correct option is (D).
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The given inequality is 4x > 1.2.
It can be solved as follows,
4x > 1.2
Divide both sides by 4 to obtain,
⇒ (4x ÷ 4) > (1.2 ÷ 4)
⇒ x > 0.3
Which implies that the values of x are greater than 0.3.
Analysing all the options give the result as 0.5.
Hence, the value of x that satisfies the given inequality is 0.5.
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help me fast rapidly is of khan academy:
Answers
Answer:
0 hundreds
0 tens
7 ones
.
4 tenths
0 hundredths
8 thousandths
Standard form=7.408
Step-by-step explanation:
Lets first solve (7x1)+(4x1/10)+(8x1/1000)
7+0.4+0.008
Simplify:
7.408
PLEASE MARK AS BRAINLIESTA relationship is represented by the equation y = x - 12 which of the following tables best represent the equation
Answers
A table that best represent the equation include the following: H. table H.
How to determine the table that best represent the equation?In order to determine the table that best represent the equation, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;
When the value of x = 1 in table F, the linear function is given by;
y = x - 12
y = 1 - 12
y = -11 (False).
When the value of x = 0 in table G, the linear function is given by;
y = x - 12
y = 0 - 12
y = -12 (True).
When the value of x = 2 in table G, the linear function is given by;
y = x - 12
y = 2 - 12
y = -10 (False).
When the value of x = 0 in table H, the linear function is given by;
y = x - 12
y = 2 - 12
y = -10 (True).
When the value of x = 4 in table H, the linear function is given by;
y = x - 12
y = 4 - 12
y = -8 (True).
When the value of x = 6 in table H, the linear function is given by;
y = x - 12
y = 6 - 12
y = -6 (True).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
