Based on the information below, what are the values of x and y of the solution to the system of equations used to create
the information?
Answers
Answer:
x = 4; y = 12
Step-by-step explanation:
The value of x and y is 4,12., the correct option is C.
What is a Matrix?A matrix is an array of numbers or expressions used in mathematics to solve a system of equations.
The matrix A is
[tex]\begin{pmatrix}1/2 & 1/4\\ 9& -3\end{pmatrix}[/tex]
The matrix Ax is
[tex]\begin{pmatrix}5 & 1/4\\ 0& -3\end{pmatrix}[/tex]
The matrix Ay is
[tex]\begin{pmatrix}1/2 & 5\\ 9& 0\end{pmatrix}[/tex]
The determinant for all the matrices is
|A| = -15/4
|Ax| = -15
|Ay| = -45
The value of x is (|Ax|) /(|A|) = -15 / (-15/4) = 4
The value of y is ( |Ay|)/(|A|) = -45 /(-15/4) = 12
Therefore, the value of x and y is 4,12., the correct option is C.
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Related Questions
Mathematics value in words?
Answers
Answer:
Wdym
Step-by-step explanation:
Mathematics value in words
which number are composite numbers-49,35,32,41,47
Answers
Answer:
49, 35, 32
Step-by-step explanation:
A prime number is a number whose factors are 1 and itself
Eg 7
7 is a prime number because it only comes in table one and 7
Or it’s only factors are 1 and itself
A composite number comes in 1, itself and other tables
Eg. 16
It comes in table 1, 2, 4 and 16
Answer: 49,32,35.
Hope this helps!
Ramen noodles. There are 20 ramen noodle packages in a bag. There are 10 beef flavored, and the other 10 are chicken flavored. What is the probability of getting at least one chicken and at least one beef flavor when you grab 3 packages randomly?
Answers
Answer:
0.789
Step-by-step explanation:
Number of beef flavored Ramen noodles = 10
Number of chicken flavored Ramen noodles = 10
Total number of noodles = 20
Number of ways to select 3 packages:
[tex]_{20}C_3= \dfrac{20\times 19\times 18}{3\times 2\times 1}=1140[/tex]
Number of ways to select two beef flavored Ramen noodle = [tex]_{10}C_2[/tex] = 45
Number of ways to select one chicken flavored Ramen noodle = 10
Number of ways to select two chicken flavored Ramen noodle = [tex]_{10}C_2[/tex] = 45
Number of ways to select one chicken flavored Ramen noodle = 10
Total number of ways so that one chicken and one beef Ramen selected = 450 + 450 = 900
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Required probability is:
[tex]\dfrac{900}{1140} = 0.789[/tex]
Look at image please help me ASAP
Answers
Answer:
[tex]\frac{-3 y^{11} }{x}[/tex]
Please please please help quickly!
Answers
Um th eanswer is 56-64-34-3402-30 = 19038
Write the next three terms in each sequence. Make sure your
answers are separated by a comma and a space; like 1, 2, 3
25, 26, 27, 28, ...
Answers
Answer:
29,30,31
this is basically like counting just add 1
A store owner uses pieces of tape to paint a window advertisement. The letters are slanted at an 80 degree angle. What is the measure of angle 1?
Answers
Answer:
∠1 is 180° − 80° = 100°.
Step-by-step explanation:
Using the corresponding angles, the 80° angle is congruent to the angle that is supplementary to ∠1, as shown. The measure of ∠1 is 180° − 80° = 100°.
The measure of ∠b comes to be 100°.
As we know,
In window advertisement,
∠b and 80° are supplementary angles to each other.
What are the supplementary angles?When the sum of Two angles is 180°, each angle is said to be the supplement of the other angle.
As ∠b +80° =180°
∠b = 180°-80°
∠b = 100°.
Therefore, The measure of ∠b comes to be 100°.
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Three cards—one red, one green, and one blue—are to be arranged in a stack. Using R for red, G for green, and B for blue, make a list of all the different stacks that can be formed. (Some computer monitors are called RGB monitors for the colors red, green, and blue. Enter your answers as a comma-separated list.)
Answers
Answer:
RGB. RBG, BRG, BGR, GBR, GRB
Step-by-step explanation:
Given
R, G and B
Required
List all possible arrangement
First, we need to calculate the number of arrangement
There are 3 letters and they are to be arranged in order of 3.
So, we have:
[tex]n = 3[/tex] and [tex]r =3[/tex]
Number of arrangement is:
[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]
[tex]^3P_3 = \frac{3!}{(3 - 3)!}[/tex]
[tex]^3P_3 = \frac{3!}{0!}[/tex]
[tex]^3P_3 = \frac{3*2*1}{1}[/tex]
[tex]^3P_3 = \frac{6}{1}[/tex]
[tex]^3P_3 = 6[/tex]
Hence, number of arrangements is 6 and the arrangements are:
RGB. RBG, BRG, BGR, GBR, GRB
Please give me the correct answer.
Answers
Answer:
[tex] -m + 6 = 3m + 14 [/tex]
Step-by-step explanation:
Given:
[tex] -(m - 6) = 3m + 14 [/tex]
Required:
Multiply (m - 6) by -1.
Solution:
To multiply (m - 6) by -1, we would be applying the distributive property. This means that we would multiply each term in the parentheses by -1.
Thus:
[tex] -1(m) -1(-6) = 3m + 14 [/tex]
The result would be:
[tex] -m + 6 = 3m + 14 [/tex] (negative times negative = positive)
1/x+x/2=11/6 transformable to quadratic equations
Answers
Note: Consider we need to find the solution of given equation.
Given:
The equation is
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
To find:
The solution of the equation.
Solution:
We have,
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]
By cross multiplication, we get
[tex]6(2+x^2)=11(2x)[/tex]
[tex]12+6x^2=22x[/tex]
[tex]6x^2-22x+12=0[/tex]
[tex]2(3x^2-11x+6)=0[/tex]
Divide both sides by 2.
[tex]3x^2-11x+6=0[/tex]
Splitting the middle term, we get
[tex]3x^2-9x-2x+6=0[/tex]
[tex]3x(x-3)-2(x-3)=0[/tex]
[tex](x-3)(3x-2)=0[/tex]
Using zero product property, we get
[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]
[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]
Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].
Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).
Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
We are given the algebraic equation: 1/x+x/2=11/6
Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.
LCD(x,2,6) = 6x
Multiply all through the fractions by 6x
(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)
6 + 3x² = 11x
Rewriting the equation:
3x² - 11x + 6 = 0
Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
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What is the perimeter of an equilateral triangle which has an area of 96\sqrt{3}96
3
Answers
Answer:b
Step-by-step explanation:
Describe how the graph of y=2xy=2x is the SAME as the graph of y=2x-7y=2x−7.
Select all statements that are true.
They both have a slope of 2.
They cross the x-axis at the same point.
They are parallel to each other.
They have the same slope.
They are in the same location.
They cross the y-axis at the same point.
Answers
Answer:
-They both have a slope of 2.
-They are parallel to each other.
-They have the same slope.
Step-by-step explanation:
The 2 equations are;
y = 2x and y = 2x - 7
Now, from slope intercept equation,
y = mx + c
Where m is slope and c is the intercept on the y-axis
From the 2 equations y = 2x and y = 2x - 7, Comparing with y = mx + c, we can see they both have a slope of 2.
For 2 lines to have same slope, it means that they are parallel and have different y-intercepts.
They should cross the x-axis when y = 0.
But at x = 0,we have;
y = 2x = 0. And x = 0
Also,for y = 2x - 7 is y = 2x - 7 = 0
2x = 7 and x = 7/2.
Thus,they don't cross the x - axis at the same point
Looking at the options, we can see that there are 3 correct ones from what we've described above namely;
-They both have a slope of 2.
-They are parallel to each other.
-They have the same slope.
Answer:
its
Step-by-step explanation:
What are the solutions to the quadratic equation 4(x + 2)2 = 36 x = −11 and x = 7 x = −7 and x = 11 x = −5 and x = 1 x = −1 and x = 5
Answers
Answer:
c
Step-by-step explanation:
edge2020
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
What is a Quadratic Equation?
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given that;
4(x + 2)² = 36
4( x(x + 2) + 2(x+2) ) = 36
4( x² + 2x + 2x + 4 ) = 36
4( x² + 4x + 4 ) = 36
4x² + 16x + 16 = 36
4x² + 16x + 16 - 36 = 0
4x² + 16x - 20 = 0
We can further simply ( divide through by 4 )
x² + 4x - 5 = 0
Hence,
a = 1b = 4c = -5x = (-b±√(b² - 4ac)) / (2a)
x = (-4±√(4² - (4 × 1 × -5)) / (2×1)
x = (-4±√(16 - (-20)) / (2)
x = (-4±√(16 + 20)) / (2)
x = (-4±√(36)) / 2
x = (-4±6)) / 2
Hence
x = (-4-6)) / 2 and x = (-4+6)) / 2
x = -10/2 and x = 2/2
x = -5 and x = 1
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
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which function has the range (-infinity,-2]U[0,infinity)?
a. y=cos(x+1)
b. y=csc(x)-1
c. y=sec(x)+1
d. y=cot(2x)-1
Answers
Answer:
y= csc(x)+1
Step-by-step explanation:
A P E X
cosec(X) + 1 has the range (-infinity,-2]U[0,infinity)
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
As, the given range (-infinity,-2]U[0,infinity) well satisfied the cosec(X) + 1
Generally, Range of Cosec x is, (-∞,-1] ∪ [1,∞).
So,
Range of Cosec (x) +1 will be ,
= (-∞,-1+1] ∪ [1+1,∞).
= (-∞, 0] ∪ [2,∞)
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Enter an equivalent expression for 2x + 3 + 5x + 6 in simplest form.
Answers
When full, a cinema house has n people. When 280 people have taken seat the remaining seats comes to $384 if each tickets cost $1.20 find the number of seats in the cinema house?
Answers
Answer: 600 seats
Step-by-step explanation:
384/$1.20 = 320 seats
N - 280 = 320
+280. +280
N = 600
The total number of seats in the cinema house will be 600 seats.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
When full, a cinema house has n people. When 280 people have taken a seat the remaining seats come to $384 if each ticket cost $1.20.
Then the total number of seats in the cinema house will be given as,
⇒ 280 + $384 / $1.20
⇒ 280 + 320
⇒ 600 seats
The total number of seats in the cinema house will be 600 seats.
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Mr Thompson wants to cut a 5-ft rope into a 1/4-ft sections how many 1/4 sections will he have
Answers
Answer:
20 pieces of rope
Step-by-step explanation:
Mr. Thompson has a 5-ft rope. If he cuts the rope into 1/4-ft pieces, that means for every foot, there are 4 pieces of rope. There are 5-ft of rope, so we multiply 5 and 4 to get the number of pieces of rope.
5 x 4 = 20 pieces of rope.
I hope that this helps! :)
Help I Dont Understand?
Answers
A business is owned by 3 people. Mrs. Applegate owns
3
19
of the business. Mrs. Brown owns 3 times as much as
Mrs. Charles. What fractional part of the business does Mrs. Brown own?
Answers
Given:
Mrs. Applegate owns [tex]\dfrac{3}{19}[/tex] of the business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
To find:
The fractional part of the business that Mrs. Brown owns.
Solution:
Let Mrs. Charles owns x part of business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
Mrs. Brown owns = 3x part of business.
Mrs. Applegate owns [tex]=\dfrac{3}{19}[/tex] of the business.
[tex]x+3x+\dfrac{3}{19}=1[/tex]
[tex]4x=1-\dfrac{3}{19}[/tex]
[tex]4x=\dfrac{19-3}{19}[/tex]
[tex]4x=\dfrac{16}{19}[/tex]
Divide both sides by 4.
[tex]x=\dfrac{16}{4\times 19}[/tex]
[tex]x=\dfrac{4}{19}[/tex]
Now,
Mrs. Brown owns [tex]=3\times x[/tex]
[tex]=3\times \dfrac{4}{19}[/tex]
[tex]=\dfrac{12}{19}[/tex]
Therefore, Mrs. Brown owns [tex]\dfrac{12}{19}[/tex] of the business.
Sasha purchased paint that will cover 400 square feet per gallon. Sasha needs to paint a 4704-square-foot surface with 2 coats of paint.
How many gallons of paint will she need for this project?
A.11
B.12
C.23
D.24
Answers
Answer:
D. 24
Explanation:
First you would need to find how many you need for one coat.
400 times 12 = 4,800
(That will give you a little extra paint)
Then just double 12 to get two coats and you would get D.
Have a nice day!
Hope this helped.
GIVING BRAINLIEST IF CORRECT PLEASE HELP ASA[P
Answers
Answer:
A) b= 8 students
B) 1) 19/55 2) 28/55
Step-by-step explanation:
I'm sorry if I'm getting this whole concept wrong cause it felt way too easy to be right so I'm sorry if you get it wrong.
The reason the first question is 8 is because of the fact that you first have to add the students charted on the Venn-diagram and subtract that from 55, getting you to 8 students.
For the second one, the first part would be 19/55 becuase in the Venn-diagram it is shown that only 19 people passed both and so that be the numerator and the denominator would be the total of students, so it would be 55.
Same thing for part two except the fact that you have to add the students who only passed one subject, so combine 17 and 11, getting you to 28, thus getting the answer 28/55.
bla lee la. la la lee bla
Answers
Answer:laaa vidas so las vi vi ras ony laa viras so las vi vi ras
Step-by-step explanation:laaaa vidas so las vi vi ras boty hastice hastice sola vi vi rasss*birb falling*
Pls help me, im not understand this
Answers
Answer:
Step-by-step explanation:
the wheels on a bicycle have a circumference of 4 feet. if the bicycle travels 48 feet how many rotations does it make?
Answers
Answer:
12
Step-by-step explanation:
48 divided by 4 is 12
which of the following would you expect to have the highest interest? a 5-year CD a 10-year CD and online savings account or savings account at a Traditional Bank
Answers
Answer:10-year CD
Step-by-step explanation:
No
HELP!!!!i will give BRAINLIEST
Answers
Answer:
2.9
Step-by-step explanation:
2 9/10 as an improper fraction is 29/10
29/10 as a decimal is 2.9
Answer:
2.9
Step-by-step explanation:
Math. Pls give brainliest:)!
hectare is equal to 2.471 acres. A land developer buys a hectare of land to build homes. Each home will be built on 0.25 acres of land. How many homes can the land developer build on the hectare of space?
Answers
Answer:
2.221
Step-by-step explanation:
Multiply the divisor and the dividend by the same power of 10 so that the divisor is a whole number. To check if your answer is reasonable, estimate the quotient by rounding the divisor and dividend to the nearest whole numbers.
ANSWER:
try 2.721....................
Talya wanted to hit 20 homeruns this season. She ended up hitting 150% of her goal. How many homeruns did Talya hit this season?
Answers
Answer:
30
Step-by-step explanation:
tell me if im wrong
sorry if i am TmT
Jenna has a piece of paper that is 99 3/4 square inch in Area.
It is 10 1/2 inches long.
What is the width of the piece of paper in inches?
Answers
Answer:
Width is 9 1/2 in.
Step-by-step explanation:
My reasoning is that, since youve gotten the area (99 3/4), your asked to find the width. You have the length which is 10 1/2. In this situation youre expected to divide. What you divide is 99 3/4 by 10 1/2. If you calculate this, you get a quotient of 9 1/2. I’m not very ethical at explanations, but I hope you found it helpful somehow.
What is the slope of this line?
5
1/5
-1/5
-5
Answers
Answer:
1/5
Step-by-step explanation:
You do rise over run so your rise is 1 and your run is 5 so the answer is 1/5.
And it is positive because it is pointed to the right side.
Hope this helps
