Answer: This system of equations can be represented in matrix form as
| -1 | 650 | 175 |
| 75 | -120 | -25080 |
This matrix is called the augmented matrix of the system of equations. The first and second column of this matrix represent the coefficients of the variables x and y, respectively, in the system of equations. The third column represents the constant terms of the equations.
You can use a method such as Gaussian elimination or Gauss-Jordan elimination to solve the system of equations.
The Gaussian elimination method, you would use elementary row operations to transform the matrix into an echelon form or reduced row echelon form. Then you can back-substitute the variables with their values.
Also, the Gaussian-Jordan elimination is similar to Gaussian elimination, but it keeps continuing the elimination process until the matrix becomes an Identity matrix(A matrix with 1 on diagonal and 0 everywhere else) The values on the diagonal of the matrix will give you the solution of the variables.
Step-by-step explanation:
Solve for the roots in the following equation. Hint: Factor both quadratic expressions.
(4+5x²-36)(2x²+9x-5) = 0
Using the provided quadratic expression and factorizing it, The answer is x = ± √6.4 or x = ± 2.51 and x = 1 or x = -2.5 .
What is a equation?An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.
What are roots of the equation?Roots of an equation are the values of the variable that make the equation true. For example, the roots of the equation x^2 + 2x - 3 = 0 are -1 and 3, because (-1)^2 + 2(-1) - 3 = 0 and 3^2 + 2(3) - 3 = 0. In general, finding the roots of an equation can be a difficult task and may require the use of mathematical techniques such as factoring, graphing, or numerical methods. Roots are also known as solutions or zeroes of an equation. They can be found by setting the equation equal to zero and solving for the variable.
(4+5x²-36) = 0 or (2x²+9x-5) = 0
Solving the first factor:
4+5x²-36 = 0
5x²-32 = 0
5x² = 32
x² = 6.4
x = ± √6.4
x = ± 2.51 or -2.51
Solving the second factor:
2x²+9x-5 = 0
x²+4.5x-2.5 = 0
(x-1)(x+2.5) = 0
x = 1 or x = -2.5
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is 0.2/2.6 0.3/3.6 proportional or not proportional
Answer:
not proportional
Step-by-step explanation:
0.2/2.6 is 1:13
0.3/3.6 is 1:12
What kind of polynomial is 2xy2-6?
Select one:
of
a. Binomial
b. Trinomial
c. Monomial
d. Multinomial
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
2xy² - 6 is a binomial because it consist of two terms .
∴ option a. Binomial is correct!
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Option a
Step-by-step explanation:
It has two terms or solutionsAs the highest exponential term is 2(y^2)So it's a binominal[tex]\sf Note\:down\begin{cases}\sf Binominal\leadsto 2terms \\ \sf Trinomial\leadsto 3terms \\ \sf Monomial\leadsto 1term \\ \sf Multinomial \leadsto 4\:or\: 4^+terms\end{cases}[/tex]
PLS HELP FOR 10 POINTS PLEASE (SHOW YOUR WORK)
Question: Find the measure of the missing angle
IF YOUR A BOT AND IS JUST SAYING “PLEASE CHECK THE LINK BELOW FOR ANSWERS” I WILL REPORT
THANK YOU (-:
Answer:
The answer is 90 degrees
Step-by-step explanation:
It is a right angle and a right angle is equal to 90 degrees
The box in a triangle always represents a right angle
Answer:
The missing angle is 65 degrees
Step-by-step explanation:
Answer: 65 degrees
First, you can make the conclusion that a right angle is 90 degreesNext, you can add 90 to 25 to get 115You then subtract 115 from 180.You are left with 65, which is the measure of the missing angleRemember that a triangle equals 180 degrees! :)For what value of a does (1/7)^3a+3=343^a-1
Answer:
the answer is 0
Step-by-step explanation:
edge 2022
Finding a Mistake in a Subtraction Problem
Jordan wants to solve the problem: 453-254 = ?
He begins by making an estimate.
450-250 = 200
Estimate:.
Then he uses expand-and-trade subtraction to find an exact answer, but his answer is not
close to his estimate. This is his work.
"Oops," says Jordan, "I didn't cross out 400 and write 300."
Explain why not changing 400 to 30 is a mistake.
Hint: Use what you know about place value in your answer.)
Using the expand and trade subtraction the mistake Jordan made was not crossing 400 to 300
1 is carried form 4 to 5 then to 3 to get 13
How to do the subtraction in a correct way
The expanded form of subtraction makes is easier to conceptualize the subtraction, however it has some techniques that should be in mind in other to handle the techniques correctly
The numbers used in the subtraction is examined
453 and 254
the ones have it that 3 in "453" is less than 4 in "254" and hence will require 1 form 5.
When this happens, in the tens, 5 in "453" will turn to 4 and will be less than the 5 in "254" and will requires 1 from 4 in "453" in hundreds
At this point 4 in "453" is in hundreds and will turn to 300
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There are 100 marbles in a jar
There are 9 times as many red marbles
as there are blue marbles. How many
blue marbles are in the jar?
Answer:
Step-by-step explanation:
take 9 divided by 5 wich = 1.8
Complete the matrix that represents a reflection over the x-axis in the coordinate plane.
[ 1 a
b c ]
Answer:
bc
Step-by-step explanation:
Answer bc
Step-by-step explanation:
took test
I’ll give points + brainalist for the correct answer (:
List 3 examples of chemical digestion
________
________
________
List 3 examples of mechanical digestion
________
________
________
Answer:
3 examples of mechanical digestion:
Mastication
Swallowing
Peristalsis
I need the answer fast pls⇒
Answer:
530
Step-by-step explanation:
870-340 = 530
___________
Help me please help if know what the answer please?!!?!??faster
Answer:
like 29%
Step-by-step explanation:
there are 4 male freshmen out of 4+6+2+2=14 total males and 4/14 is like 28.5714... and so you round
please help will give brainliest. Links will be banned
Answer:
I believe it is C.
It is 1.9 miles from a house to a restaurant and 1.2
miles to a pier, as shown at the right. The angle
between the two lines of sight is 87°. How far is it from
the pier across the water to the restaurant.
9514 1404 393
Answer:
2.2 miles
Step-by-step explanation:
The Law of Cosines can be used to figure this.
c² = a² +b² -2ab·cos(C)
c² = 1.2² +1.9² -2(1.2)(1.9)cos(87°) ≈ 4.811348
c ≈ √4.811348 ≈ 2.193
It is about 2.2 miles across the water from the pier to the restaurant.
Find the surface area of the prism
copy and paste this link into your browser
https://imgur.com/a/fWHYwss
Answer:
surface area of a right prism is T.S.A.=ph+2B
Step-by-step explanation:
hope that helps :)
i need help please! Much appreciated
Answer:
From SOHCAHTOA
Sin60 = 9/y
y= 9/sin60
y=10.39 ~ 10.4
Again
From SOCAHTOA
Tan60= 9/x
x= 9/tan60
x=5.19 ~ 5.2.
An article presents benzene conversions (in mole percent) for 24 different benzene hydroxylation reactions. The results are 52.3 41.1 28.8 67.8 78.6 72.3 9 19.0 30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6 14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4 Can you conclude that the mean conversion is greater than 30? Compute the appropriate test statistic and find the P-value. The appropriate test statistic and the P-value are and , respectively. Round the test statistic to two decimal places and the P-value to four decimal places. We (Click to select) conclude that the mean conversion is greater than 30.]
Answer:
Test statistic = 3.21;
Pvalue = 0.0019;
Reject H0 and conclude that the mean conversion rate is greater than 30.
Step-by-step explanation:
Hypothesis :
NULL ; H0 : μ = 30
ALTERNATIVE ; H0 : μ > 30
Sample, x : 52.3 41.1 28.8 67.8 78.6 72.3 9 19.0 30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6 14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4
Sample Mean, xbar = 43.71 (using calculator)
Sample standard deviation, s = 20.95 ( calculator)
Sample size, n = 24
Take, α = 0.05
Test statistic :
(xbar - μ) ÷ (s/√n)
(43.71 - 30) ÷ (20.95/√24)
13.71 / 4.2764008
Test statistic = 3.21
Degree of freedom, df = n - 1 = 24 - 1 = 23
The Pvalue, using a Pvalue calculator : (3.21, 23)
Pvalue = 0.001942
Pvalue = 0.0019 ( 4 decimal places).
Decison :
Reject H0 ; if Pvalue ≤ α
Since Pvalue is very low and lesser than α ` We reject H0 and conclude that the mean conversion rate is greater than 30.
Find the missing side length of the right triangle. If needed, round to the nearest tenth
10 cm.
126 cm.
Answer:
24 Is the answer. (I used 26, not 126 as 26 is what was in the picture)
Step-by-step explanation:
A^2 + b^2 = c^2
10^2 + b^2 = 26^2
100 + b^2 = 676
B^2=576
B=24
A new route for bicycling to work decreased Herschel's riding time by 14%. If the old route took 32 minutes, how long will the new route take? Round your answer to the nearest minute.
Answer:
4.48
Step-by-step explanation:
Herschel took 27.52 minutes in riding cycle in new route.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a new route for bicycling to work decreased Herschel's riding time by 14%.
The old route took 32 minutes
Time taken by new route = 32-14% of 32
= 32-14/100 ×32
= 32-0.14×32
= 32-4.48
= 27.52 minutes
Therefore, it takes 27.52 minutes in the new route.
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Which expression is equivalent to fraction 4/9 x 7
answers: 7 x 9 divided by 4; 9 divided by 4 x 7; 4 divded by 7 x 9; 4 x 7 divided by 9.
Answer:
Calculator 8tfifficxfotidtxiixfdixfiifxifx fixir
Audrey mowed 12 lawns in 9 hours. What was her rate of mowing in hours per lawn?
On solving the provided question, we got to know that - arbitrary number So the money she earns is equal to 10 times w plus 15, which can be expressed as: 10w + 15
what is arbitrary number?A number is considered arbitrary if its only unique characteristic is that it has a high value. You can think of them informally as the numbers that your opponent picked. Any number appears to be worthless intuitively.
Since the question allows us to use any number, we decide to make the money she makes from washing the car equal $10. We'll also assume that she gets paid $15 to wax the car.
So the money she earns is equal to 10 times w plus 15, which can be expressed as:
10w + 15
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god please please someone help with this my last question and more coming im about to cry i need help youll have good luck and ill love u 4 evea PLEASEEE.....................................................................................................................................................................................................Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
What is the slope of the function representing the weekly paycheck amount for Salesman A? Use complete sentences to explain your reasoning, or show your calculations.
What is the slope of the function representing the weekly paycheck amount for Salesman B? Use complete sentences to explain your reasoning, or show your calculations.
What is the slope of the function representing the weekly paycheck amount for Salesman C? Use complete sentences to explain your reasoning, or show your calculations.
Answer:12
Step-by-step explanation: i found the answer on another brainly account
ps: i hope you pass
Find the area of the figure
Answer: ok so 3 times 3 twice then divide them by 2 and then 12 times 3 twice and then 3 times 6 im pretty sure and then you add them together
Step-by-step explanation:
help if u lnow truangles stuff
Terryl invests $1500 in two mutual funds. In the first year, one fund grows 3.8% and the other grows 6%. Write a polynomial to represent the value of Terryl’s investment after the first year if he invested x dollars in the fund with the lesser growth rate.
The polynomial that represents the value of Terryl’s investment after the first year if he invested x dollars in the fund with the lesser growth rate is;
p(x) = x(1 + 6/100)
g(x) = (1500 - x)(1 + 3.8/100)
How to find the compound interest?The compound interest is defined as a form of interest whereby the rate of interest is applied on the amount obtained after every given interval of time.
We are given that;
The total amount invested in the two mutual funds = $1500.
The growth rate of the first mutual fund = 6%.
The growth rate of the second mutual fund = 3.8%.
If the amount invested in the first mutual fund is x, then the amount invested in second mutual fund is 1500 - x.
The growth for both mutual funds can then be represented by;
First mutual fund; p(x) = x(1 + 6/100)
The second mutual fund; g(x) = (1500 - x)(1 + 3.8/100)
Thus, the polynomial expression for both the mutual funds are;
p(x) = x(1 + 6/100) and g(x) = (1500 - x)(1 + 3.8/100) respectively.
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normal simple question and pls follow
Answer:
850
Step-by-step explanation:
Answer:
850
Step-by-step explanation:
34*100=3400
3400/4=850
Would be amazing if you marked this as brainliest
What is the pattern for 0, 1, 3, 7, 15, 31, 63
Answer:
every second number is got by multiplying it by two times of the number & adding it to previous number. For eg: the difference between 1 & 3 is 2. So the next number 7 is got by multiplying the diff with 2 & adding it to previous number, which is 3+2*2=7
Step-by-step explanation:
HOPE THIS HELPS!! PLEASE BRAINIESTTT
Answer:
All the numbers in the sequence was ×2 +1
multiplied by 2 and 1 was added.
Hope that helps
For problems 1-3, use the information in the diagram to find the angle measure of in radians. Round your answer to the nearest ten-thousandth, if necessary.
Answer:
4.25 radians2.4 radians0.625 radiansStep-by-step explanation:
You want the angles associated with different arc lengths and radii.
AngleThe length of an arc is given by the formula ...
s = rθ . . . . . θ is the angle in radians, r is the radius
Solving for θ gives ...
θ = s/r
1.For s=17 in, r=4 in, ...
θ = (17 in)/(4 in) = 4.25 . . . . radians
2.For s=12 ft, r=5 ft, ...
θ = (12 ft)/(5 ft) = 2.4 . . . . radians
3.
For s=8.5 mm, r = 13.6 mm, ...
θ = (8.5 mm)/(13.6 mm) = 0.625 . . . . radians
Number 4 number 4 number 4 number 4
Answer:
D
Step-by-step explanation:
We know that the value of x is 120, so we can substitute it into the equation they gave you.
T(x) = 0.06x + 4.5
T(x) = 0.06(120) + 4.5
Now just solve.
0.06 × 120 = 7.2
7.2 + 4.5 = 11.7
So the tax on the room is $11.70
What is the volume of a triangular prism that has a height of 5 feet and a base that with the following ?
Answer:
C
Step-by-step explanation:
Base area = (base x height of the base)/2 = (13 x 6)/2 = 39 ft^2
V = base area x height = 39 x 5 = 195 ft^3
Alicia is solving the equation shown.
− 2( x + 1) + 10 = 4 − 2x
She wrote this as her first step.
x + 1 − 5 = − 2 + x
Which property justifies this first step?
A. additive identity property
B. addition property of equality
C. multiplicative property of zero
D. multiplication property of equality
Answer:
D.
Step-by-step explanation:
-2 is divided on both sides of the equation, which is the multiplication property of equality. you aren't adding anything/ multiplying anything by 0