Which matrix represents the system of equations shown below?
2x - 9y = 12
-5x - 7y = 15
O A.
[2 -9 12
5 -7 15
O B.
1-2 -9 127
5 -7 15
O C.
2 -9 127
-5 -7 15
O D. 13:53
1-2 -9 -121
-5 -7 -15
Answers
Answer:
c because c is c kkjwjwjjjwjwjsjssjsjjssmsswnsnsnsnnsns
The matrix that is represented by the system of equations is:
[tex]\left[\begin{array}{ccc}2&-9&12\\-5&-7&15\end{array}\right][/tex]
Option C is the correct answer.
What is a matrix?A matrix is a set of numbers arranged in rows and columns such that it forms a rectangular array.
We have,
Here, the coefficient matrix is the matrix on the left-hand side, the variable matrix is the column matrix containing the variables x and y, and the constant matrix is the column matrix on the right-hand side containing the constants 12 and 15.
To solve the system of equations, we can use matrix operations to transform the coefficient matrix into the identity matrix, while performing the same row operations on the variable matrix and the constant matrix.
Once we have transformed the coefficient matrix into the identity matrix, the variable matrix will be transformed into the solution vector containing the values of the variables x and y that satisfy the system of equations.
Thus,
The matrix that is represented by the system of equations is:
[tex]\left[\begin{array}{ccc}2&-9&12\\-5&-7&15\end{array}\right][/tex]
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Related Questions
The product of 2√ 3 and 3√12 in simplified form is .
Answers
Answer:
36
Step-by-step explanation:
Rewrite this as
(2)(3)(√3)(√12), or
6 * √36, or
6 * 6 = 36
At the beginning of the year, a blogger has 150 subscribers. Since then, the number of subscribers to her blog has been doubling every 6 months, thanks to some successful appearances on television.
1) by what factor is the number of subscribers increasing every month?
2) write an equation that represents the number of subscribers (s) in terms of m months since the beginning of the year( when she had 150 subscribers)
Answers
The number of subscriber is increasing by factor 1,12 every month. The number of subscribers m months since the beginning of the year can expressed by the growth model equation S(m) = 150 . e^(0.12m)
The problem can be solved using exponential growth model.
1) The relation between growth rate and doubling time is given by:
doubling time = 70 / growth rate
In this case, doubling time = 6 months.
Hence,
growth rate = 70/6 = 11.67% = 0.1167 ≈ 0.12
Growth factor is defined as:
Growth factor = 1 + growth rate
= 1 + 0.12 = 1,12
2) The growth model of the number of subscribers is given by:
S(m) = So . e^(r.m)
Where:
S(m) = number of subscriber after m months
So= initial number of subscriber
r = growth rate
t = time period
Substitute So = 150 and r = 0.12
S(m) = 150 . e^(0.12m)
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A lawn sprinkler can spray up to 20 feet. If it sprays in a circular pattern, what is the approximate area in square feet watered by the sprinkler?
Answers
Answer:
1256.64 square feet
Step-by-step explanation:
In this situation, 20 feet is the radius of the circle that is sprayed.
Use the area formula, A = [tex]\pi[/tex]r²
Plug in 20 as the radius and solve:
A = [tex]\pi[/tex]r²
A = [tex]\pi[/tex](20)²
A = 400[tex]\pi[/tex]
This is approximately equivalent to 1256.64
So, the approximate area watered by the sprinkler is 1256.64 square feet
How do you factorise α²-b²
Answers
Answer:
this is perfect square a-bILL MARK YOU BRAINLEST IF YOU AWNSER PLEASE!! look at the photo and what is the measure of x? help me please!!
Answers
Answer:
32
Step-by-step explanation:
The domain of y = √√√x-5-1 is
DONE
3 of 8
P
10
1000
098
7
6
5
4
3
12
y
2
19
Ð
6
8x
Answers
The function domain is X≥5 Or in interval notation [5, ∞)
What is Domain definition?The domain of a function is the set of input or argument values for which the function is real and definedThe domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limitedIn mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by {\displaystyle \operatorname {dom} } or {\displaystyle \operatorname {dom} f}, where f is the functionFind non-negative values for radicals x≥5solve x-5≥0:x≥5 function domain is X≥5 Or in interval notation [5, ∞)To learn more about Domain definition refers to:
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THANK YOUU!! You helped me on all of the ones i needed help on, that’s all! tysm
Answers
Answer:
See below.
Step-by-step explanation:
A. f(x) = x² - 8x + 12
E. f(x) = (x - 4)² - 4
F. f(x) = (x - 2)(x - 6)
Find the missing values in the ratio table then write the equivalent ratios in the order they appear in the table 3/4 1/3 2/3 3 1
Answers
The missing values in the ratio table are given as follows:
8 meters -> 1/3 minutes.4 meters -> 1/6 minutes.6 meters -> 1/4 minutes.10 meters -> 5/12 minutes.Hence the equivalent ratios are given as follows:
8 : (1/3).4 : (1/6).6 : (1/4).10 : (5/12).What is a proportional relationship?A proportional relationship is a linear function with an intercept of zero modeled as follows:
y = kx.
In which k is the constant of proportionality.
The input and output variables for this problem are given as follows:
Input: time.Output: meters.Hence the constant of proportionality is obtained as follows:
k = 8/(1/3) = 24.
Hence the equation is given as follows:
y = 24x.
The time for 4 meters is given as follows:
4 = 24x
x = 4/24
x = 1/6.
The distance for 1/4 minutes is given as follows:
y = 24 x 1/4
y = 6 meters.
The distance for 5/12 minutes is given as follows:
y = 24 x 5/12
y = 120/12
y = 10 meters.
The equivalent ratios for each case are given as follows:
y = y : x.
Missing InformationThe problem is given by the image presented at the end of the answer.
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HELP THIS IS MY LAST PROBLEM
A store bought a set of speakers for $82.86
and sold it for $195.82. What was the markup percentage? Round your answer to the nearest tenth.
Answers
Answer:
142%
Step-by-step explanation:
How I got this solution is made it as a ratio, "82.86:195.82".
I then simplified the balance by dividing 82.86 into both sides.
It then equaled around 0.42 (or 42%). Including itself, it got a markup percentage of 142%
need help as soon as possible!!
Answers
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer:
54
Step-by-step explanation:
1. Substitution is the second strategy for: *
a. solving a system of equations
b. finding the x-intercept and y-intercept
c. graphing an equation
Answers
The solution is Option A.
Substitution is the second strategy for solving a system of equations
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
ax + by = c be equation (1)
Let the second equation be represented as B
dx + ey = f be equation (2)
On adding or subtracting both the equations , we can eliminate one of the variables from the system of equations
And , to calculate the other variable , substitute the value of the variable in either of the equations to solve the system of equations
So , we will get the value of the variable x and y
Hence , the system of equations can be solved by substitution
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Select the solution to the equation.
3+g= 10
Choose 1 answer:
g=6
B
g=7
g = 8
help please!
Answers
Answer:
g = 7
Step-by-step explanation:
subtract 3 from both sides of the equation
3+g=10
-3 -3
g = 10-3
g = 7
I’m not sure what it could be?
Answers
Answer:
B
Step-by-step explanation:
If x equals 1/4 then it must be B because:
All the sections are divided into fourths so 1/4 plus 3/4 is 1.
I know the answer is -2 but I need to show my work on how I got it
Answers
Answer:
-2
Step-by-step explanation:
6x + 10 = 1x
Subtract 6x from both sides.
10 = -5x
------------ Divide by -5
-5
-2 = x
6x + 10 = 1x
Subtract 10 from both sides
6x + 10 (-10)= 1x (-10)
6x =1x - 10
Subtract 1x from both sides
6x (-x) = 1x (-x) - 10
5x = -10
Divide both sides by 5
5x (/5) = -10 (/5)
x = -2
Hope that helps :)
PLZ HELP ASAP!!!
I need help with part a and b
Answers
Answer:
ok so 4x-4y=8
4x-4×8=
4x-32
4x-10-32=
-40 -32= -72
Step-by-step explanation:
I think this is right sorry if I'm wrong
Answer:
We need to keep y on the left side only.
so we distribute the 4x to the right side.
that means:
4x - 4y = 8
-4x -4x
-4y = 8 - 4x
Now we divide by -4 on both sides
y = 8 - 4x/-4
-2 + x is y
Now for number 2:
Let's use -10 for x.
-2 -10 = -12
there's no explanation for it either sh trippin
Answers
solving for "xx"
[tex]\sqrt{xx - 2}=7\implies \sqrt{xx - 2}=7\implies (\sqrt{xx - 2})^2=(7)^2 \\\\\\ xx-2=49 \implies xx=51[/tex]
Subject: Angles In a Circle
I need help with finding out how to get 5, d,e and f and getting the points
Answers
Step-by-step explanation:
please see the attachment
15 points...................................
Answers
Answer: D
Step-by-step explanation:
The statement says that the angles GIH and QRS must be the same measurement. To show that on diagrams, we use markings : if angles have the same markings, then it means they have the same measurement.
That way, we just need to see which diagram has the right measurements.
First, the angles GIH and QRS are the angles we see named by the letter in the center : then GIH and QRS.
So it must be the angles with letters of I and R that have the same markings.
A : doesn't work for I and R
B : doesn't work for I and R
C : doesn't work for I and R
D : works for I and R
it should be the D, of course if I didn't see well don't hesitate to make sure it's correct with what I said before :)
Answer:
the answer would be D
Step-by-step explanation:
the answer is D because of the person above me
Priscilla has 4.3*10^8 strands of hair on her head. Diego has 8.7*10^5 strands of hair on his head. How many more strands of hair does Priscilla have than Diego? Express your answer in scientific notation.
Answers
====================================================
Work Shown:
4.3*10^8 = 4.3 * 10^(3+5)
4.3*10^8 = 4.3 * 10^3*10^5
4.3*10^8 = 4.3*1000*10^5
4.3*10^8 = 4300*10^5
Priscilla has 4300*10^5 strands of hair while Diego has 8.7 * 10^5 strands. Subtract the values out front: 4300-8.7 = 4291.3
Then tack on the "*10^5" portion to get 4291.3*10^5
The difference in the number of strands is 4291.3*10^5
Convert this to scientific notation to get the final answer.
4291.3*10^5 = (4291.3)*10^5
4291.3*10^5 = (4.2913 * 1000)*10^5
4291.3*10^5 = 4.2913 * 1000*10^5
4291.3*10^5 = 4.2913 * 10^3*10^5
4291.3*10^5 = 4.2913 * 10^(3+5)
4291.3*10^5 = 4.2913 * 10^8
Note: The number 4.2913 * 10^8 expands out to 429,130,000 which is a little over 429 million.
simply the following
a) 2(y-1)/3-3(y-2)/4=1
b) 3x=44/5=2x+6
Answers
The simplified value of x is 44 / 15 or 7 / 5 and value of y is -2
What is simplification?Simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Given that, simply the following
a) 2(y-1)/3-3(y-2)/4=1
b) 3x=44/5=2x+6
1) 2(y-1) / 3 - 3(y-2) / 4 = 1
Multiplying by 12 to both sides,
8(y-1) - 9(y-2) = 12
8y-8 - 9y+18 = 12
-y + 10 = 12
y = -2
2) 3x = 44 / 5 = 2x+6
3x = 44 / 5
Multiplying by 5 to both sides,
15x = 44
x = 44 / 15
or,
44 / 5 = 2x + 6
Multiplying by 5 to both sides,
44 = 10x + 30
14 = 10x
x = 7 / 5
Hence, the simplified value of x is 44 / 15 or 7 / 5 and value of y is -2
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SA triangle has side lengths of 11, 60, and 61. When using the converse of the Pythagorean theorem to determine if this is a right triangle, what is the value of c in the formula a² +b²=c²?
61
11
11²
60
Answers
Value of c is determined 61 unit.
What is right-angled triangle?
Triangle that has one angle 90 degree is called right-angled. In case of a right triangle the square of the largest side length is equal of the sum of the square of the other two side length.
what is the value of c in the above formula?
SA triangle has three side length 11-unit, 60 unit and 61 unit respectively.
The triangle is verified as a right-angled triangle by Pythagorean theorem.
And as the properties of a Pythagorean theorem the sum of the square of two side length is equal to the square of the largest side length.
if we say, one side length, a = 11 unit
second side length, b = 60 unit
the largest side length, c
now we will check,
√(11²+60²) = c² =√3721 = 61
the value of c = 61 unit.
hence, the SA is right-angled triangle.
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I’ll give brainliest!! Please explain how to do these
Answers
Answer:
x = 2 and x = 5
Step-by-step explanation:
assuming you require to solve for x
the sum of the 3 angles in a triangle is 180°
the third angle in both diagrams is right , that is 90° as they are the angle in a semicircle.
sum the 3 angles and equate to 180
6
90 + 16x + 40 + 11x - 4 = 180
27x + 126 = 180 ( subtract 126 from both sides )
27x = 54 ( divide both sides by 27 )
x = 2
10
90 + 6x + 18 + 3x + 27 = 180
9x + 135 = 180 ( subtract 135 from both sides )
9x = 45 ( divide both sides by 9 )
x = 5
help i am super confused! this is for algebra 1 please help asap
Answers
Answer:
Well yes. So we know that our x intercepts are -2 and postive 3. If we look at the graph, we can see that when y=0, the quadratic is at both -2 and 3 for x.
Step-by-step explanation:
This might not be the full reason why this is the answer, but this is for sure part of why the factored form is correct
Sorry I cannot help more than that! :(
Marion compared the y-intercept of the function f(x) shown in the table below to the y-intercept of the function g(x) graphed below
What is the distance between the y-intercept of f(x) and g(x)
Answers
Answer:
difference is 12 units
Step-by-step explanation:
line shown has a y-intercept of -4
now find y-intercept of f(x) by first finding its slope:
(-2,0) and (2,-32)
m = (0+32)/(-2-2)
m = 32/-4
m = -8 (slope)
Now find the y-intercept (or 'b') from substituting into 'y=mx+b':
0 = (-2)(-8) + b
0 = 16 + b
-16 = b (y-intercept)
-16 - (-4) = -12
Similar:
Similarity Statement:
Scale Factor:
Please help, NO LINKS
Answers
Answer:
No similarity and no scale factor (I could be wrong)
Step-by-step explanation:
Don't worry, no links :)
You would see if they are similar if they have similar sides. so if there is an equal ratio, to both, they are similar. Sometimes they may not look similar until you rotate them. So for the following, you can see that if E were on the bottom, it would look like the triangle with N and M on the bottom you can ensure this to look at the ratios of each side. To find the scale factor, it depends on which way you are going. are you going from GEF to MNL or MNL to GEF? To me, it doesn't look like there is a scale factor, but I could be wrong.
Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child.. Like fr unless you want to get reported ;) but ty for the ones who help!! :)
Answers
Answer:
3,000,000
Step-by-step explanation:
please help me with this
Answers
9514 1404 393
Answer:
51.63 m²
Step-by-step explanation:
The relevant area formulas are ...
A = πr² . . . . . area of a full circle of radius r
A = LW . . . . area of a rectangle of length L and width W
A = 1/2bh . . . area of a triangle with base b and height h
__
The figure area is the sum of the areas of 1/2 a circle of radius 3 m, a rectangle with base 6 m and height 5 m, and a triangle with base 3 m and height 5 m. Using the above formulas, we find the area to be ...
A = (1/2)(3.14)(3 m)² +(6 m)(5 m) + 1/2(3 m)(5 m)
A = (14.13 +30 +7.5) m² = 51.63 m²
The area of the figure is about 51.63 m².
A weightlifter can bench press up to 180% of his body weight. He weighs 190 pounds. What is the most he can bench press.
Answers
Answer:
342
Step-by-step explanation:
that dude strong
The most he can bench press is 342.
What is the most he can bench press?Given: A weightlifter can bench press up to 180% of his body weight. He weighs 190 pounds.
Based on the given conditions, formulate:
Convert 180 % into a decimal and multiply by 190
Convert 180 % into a decimal form: 1.8
Multiply 1.8 by 190
Simplify 1.8 [tex]\times[/tex] 190
= 342
Calculate the product or quotient: 342
The most he can bench press is 342.
The correct answer is 342.
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A line intersects the points (0,-4) and (1,2) what is the slope intercept equation for this line?
Answers
Answer:
[tex]y=6x-4[/tex]
Step-by-step explanation:
First we have to know how to write a equation in Slope-Intercept Form!
Slope-Intercept Form: [tex]y=mx+b[/tex]
where y = y axis, m = slope, x = x intercept and b = y-intercept
Now start by solving the slope
To find the Slope, you must find two points
Two points will be: [tex](0,-4)[/tex] and [tex](1,2)[/tex]
Then use the Slope-Formula to identify the slope
[tex]m=slope[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{2--4}{1-0}[/tex]
[tex]m=\frac{6}{1}[/tex]
[tex]m=6[/tex]
The Slope is 6
The y-intercept is already given by the point (0, -4)
Note: (this goes to this situation because the point has a 0 of x intercept)
doomdabomb: "I decided to answer this for fun just to earn some points but if you want you can take a look at this beautiful answer that i just made"
Mr. Gutierrez had $100 to purchase candy for his students that completed their work. He
bought 8 bags of jolly ranchers and 25 bags of assorted chocolate. Each bag of jolly
ranchers cost $3.25, and each bag of assorted chocolate cost $2.10. How much money
did Mr. Gutierrez have left over after these purchases?
Answers
Answer:
$21.50
Step-by-step explanation:
Mr. Gutierrez had $100 to purchase candy for his students that completed their work.
He bought 8 bags of jolly ranchers
Each bag of jolly ranchers cost $3.25.
Hence, the cost of 8 bags of jolly ranchers = 8 × $3.25
= $26
He also bought 25 bags of assorted chocolate and each bag of assorted chocolate cost $2.10.
Hence, the cost of 25 bags of assorted chocolates = 25 × $2.10
= $52.5
Therefore, the amount of money Mr. Gutierrez has left over after these purchases is calculated as:
Total amount - Sum of ( Cost of 8 bags of jolly ranchers + 25 bags of assorted chocolates)
= $100 - ( $26 + $52.5)
= $100 - $78.50
= $21.50