Need help! Which matrix equation represents the system of equations?
[2x+ y =5
[5x+3y -12

Need Help! Which Matrix Equation Represents The System Of Equations?[2x+ Y =5[5x+3y -12

Answers

Answer 1

Step-by-step explanation:

The given equations are :

2x+ y =5 ....(1)

5x+3y = 12

We need to find the matrix equation that represents the system of equations.

[tex][A]=\left[\begin{array}{cc}2&1&\\5&3\end{array}\right][/tex]

[tex][B]=\left[\begin{array}{cc}5\\12\end{array}\right][/tex]

And

[tex][X]=\left[\begin{array}{cc}x\\y\end{array}\right][/tex]

Hence, the matrix equation is :

[tex]\left[\begin{array}{cc}2&1&\\5&3\end{array}\right] \left[\begin{array}{cc}x\\y\end{array}\right]=\left[\begin{array}{cc}5\\12\end{array}\right][/tex]

Hence, the correct option is (b).


Related Questions

What temperature is halfway between 0 and 14 degrees

Answers

Answer:

Step-by-step explanation:

you get the minimum +the maximum ÷ 2

so : (0+14)÷2 =7°

Calculate had a net income of 5 million dollars in 2010, while a small competing company, Computate, had a
net income of 2 millions dollars. The management of Calculate develops a business plan for future growth
that projects an increase in net income of 0.5 million per year, while the management of Computate
develops a plan aimed at increasing its net income kshy15% each year.
a. Create standard mathematical model (table, graph, or equations) for the projected net income for the
next 10 years for both companies. Make sure that each model is accurate and labeled properly so that it
represents the situation
b. If both companies were able to meet their net income growth goals, which company would you choose
to invest in? Why?
c. When, if ever, would your projections suggest that the two companies have the same net income? How
did you find this? Will they ever have the same net income again?

Answers

9514 1404 393

Answer:

  a) see the attached spreadsheet (table)

  b) Calculate, for a 10-year horizon; Computate for a longer horizon.

  c) Year 13; no

Step-by-step explanation:

a) The attached table shows net income projections for the two companies. Calculate's increases by 0.5 million each year; Computate's increases by 15% each year. The result is rounded to the nearest dollar.

__

b) After year 4, Computate's net income is increasing by more than 0.5 million per year, so its growth is faster and getting faster yet. However, in the first 10 years, Calculate's net income remains higher than that of Computate. If we presume that some percentage of net income is returned to investors, then Calculate may provide a better return on investment.

The scenario given here is only interested in the first 10 years. However, beyond that time frame (see part C), we find that Computate's income growth far exceeds that of Calculate.

__

c) Extending the table through year 13, we see that Computate's net income exceeds Calculate's in that year. It continues to remain higher as long as the model remains valid.

Angie has a car worth $18,200. She has $525 in cash, and $2,800 in her savings account. Her only debt is the loan she took out to buy the car. If angie's net worth is $9,025, what is the amount of her loan? answer Choice: A. $5,850 B. $9,025 C. $11,825 D. $12,500. Please help:)​

Answers

Step-by-step explanation:

18,200

-12,350

5,850 (A) 5,850

In a class of 25 students, 9 have a cat and 8 have a dog. There are 2 students who have a cat and a dog. What is the probability that a student has a cat given that they do not have a dog?

Answers

Answer:

20 + 14 = 34, there there are only 29 students, so 34 - 29 or 5 have both a dog and a cat

 

15 have only a dog

5 have a dog and a cat

9 have only a cat

Step-by-step explanation:

The probability that a student has a cat given that they do not have a dog  is 3/5

What is probability ?

Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.

According to the question,

The number of student who do not have a dog is

25 - ( 8 + 2 ) = 15

9 have a cat { do not have a dog is a prerequisite }

So the probability that a student has a cat given that they do not have a dog = 9/15

       = 3/5

To learn more about probability from here

https://brainly.in/question/3144050

#SPJ2

-2 (x + 4) – (3x – 8)
What it equals

Answers

Answer:

-2x+-8-3x-8

Step-by-step explanation:

-2 times x =-2x  

-2 times 4=-8

Answer:

x

Step-by-step explanation:

-2 (x + 4) – (3x – 8)

-2x-8-3x+8

x+0

x

What’s the zero of the function on the graph PLEASE

Answers

Answer:

B) x = -5

Step-by-step explanation:

The zero of a graph is the inputted value in which the output is 0. Therefore, we must find the x-value that makes the y-value be 0. In the graph, we see that y = 0 at (-5, 0). The x-value of the coordinate (-5, 0) is -5. Therefore, the zero of the function in the graph is x = -5.

I hope this helps! :)

x=-5 is the correct answer to this graph
Hope this helped mark Brainly pls

What is the product of 10 and 3/4

Answers

the product of 10 and 3/4 is 7.5!!
I HOPE THIS HELPED

WILL GIVE BRAINLIEST :)

Answers

Answer:

c

Step-by-step explanation:

it would have some exponent but its the only one that is constant

Three vehicles recorded the following information about their trips.

Van: 500 miles in 7.5 hours

Truck: 300 miles in 5 hours

Car: 400 miles in 5.5 hours



Find the unit rate of miles/hour for the Van.

Answers

Answer:96km in 1 hour requires a speed of 96km/h; 96km in 2 hours requires a speed of 96/2=48km/h.

You can travel at any speed between 48km/h and 96km/h to arrive in between 1 and 2 hours.

There is no sufficient info to solve the problem and answer the question.

Also,  this fragment   "Two bikers started at the same,"   is a nonsense,  not allowable in  Math.

Find the antiderivative of the velocity function.

1 rotation = 2pi radians = 2*3.14 radians = 6.28 radians

1 rotation per 8 seconds is the angular velocity  2pi%2F8 radians per second = 6.28%2F8 = 0.785 radians per second

hope this is helpful

show the steps on how to use the distributive property to evalute 9·67​

Answers

Answer:

6.oz I will ply to get a

Step-by-step explanation:

ok is the only

Answer:

Step-by-step explanation:

9(67)=9(70-3)=

Jill would like an increase in the hourly wage she receives from the Mathematics Research Center, where she works in the mail room. Her boss gives her an equation to solve, telling her that her raise is the solution to the equation, but only if she can solve it. The equation is x 2- 6x + 9 = 0. What was the amount of her raise per hour? Answer:

Answers

Answer:

Her raise per hour is $3.

Step-by-step explanation:

Quadratic Equation

The standard representation of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

where a,b, and c are constants.

It can be solved by using the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Jill asks for an increase in the hourly wage she receives. Since she works in a Maths Center, the increase comes as a maths equation.

She must solve the equation:

[tex]x^2-6x+9=0[/tex]

The solution to the equation is the increase in her hourly wage.

Comparing with the general form, we have a=1, b=-6, c=9. Thus, the solutions are:

[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(9)}}{2(1)}[/tex]

[tex]\displaystyle x=\frac{6\pm \sqrt{36-36}}{2}[/tex]

[tex]\displaystyle x=\frac{6\pm \sqrt{0}}{2}[/tex]

Since the square root is 0, there is only one solution:

[tex]\displaystyle x=\frac{6}{2}=3[/tex]

x = 3

Thus, her raise per hour is $3.

lb = 64 oz Helppppppppppppp me
[tex]5[/tex]

Answers

Answer:

no u

Step-by-step explanation: no no no no no no no no no

9(2n+1) simplify expression I will mark brainliest correct answer

Answers

Answer:

18n+9 i think

Step-by-step explanation:

f−1(f(x)) = f(f−1(x)) =

Answers

Given:

[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex]

To find:

The missing value.

Solution:

We have,

[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex]       ...(i)

We know that, if [tex]f(x)[/tex] is a function and [tex]f^{-1}(x)[/tex] is its inverse function, then

[tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex]          ...(ii)

From (i) and (ii), we get

Missing value = [tex]x[/tex]

Therefore, the missing value is [tex]x[/tex], i.e., [tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex].

-22.8 = 6n helllllpppppp

Answers

Answer:

n = -3.8

Step-by-step explanation:

The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

C = 5 over 9(F − 32)

The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

C = 5 over 9(F − 32)
Which of the following formulas correctly solves for F?

F = 9 over 5C + 32
F = 9 over 5C − 32
F = 9C + 32 over 5
F = 9C − 32 over 5

Answers

Answer:

F = 9 over 5C + 32

Step-by-step explanation:

Let's consider the following equation that shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F.

C = 5 over 9(F − 32)

C = 5/9 (F − 32)

To solve for F, first, we will multiply both sides by 9/5.

C × 9/5 = 5/9 (F − 32) × 9/5

9/5 C = F − 32

Now, we add 32 to both sides.

9/5 C + 32 = F − 32 + 32

9/5 C + 32 = F

F = 9 over 5C + 32

Answer:

F = 9 over 5C + 32

Step-by-step explanation:

Urgent plss! Thanks For the answers​

Answers

Answer: B) 4/3

==================================================

Work Shown:

[tex]\displaystyle \lim_{x \to 3} \frac{f^2(x)-4}{f^2(x)-f(x)-2}\\\\\\\displaystyle \lim_{x \to 3} \frac{(f(x)-2)(f(x)+2)}{(f(x)-2)(f(x)+1)}\\\\\\\displaystyle \lim_{x \to 3} \frac{f(x)+2}{f(x)+1}\\\\\\\displaystyle \frac{f(3)+2}{f(3)+1}\\\\\\\displaystyle \frac{2+2}{2+1}\\\\\\\displaystyle \frac{4}{3}\\\\\\[/tex]

Notes:

In step 2, I used the difference of squares rule to factor the numerator. The denominator can be factored through trial and error. The key here is the f(x)-2 terms that show up in each. Those factors cancel in step 3.

Afterward, we apply the substitution rule, [tex]\displaystyle \lim_{x \to a} f(x) = f(a)[/tex], so basically I plugged in x = 3. Then evaluated f(3) = 2 due to the point (3,2).

Let $p$ and $q$ be the two distinct solutions to the equation $$(x-3)(x+3) = 21x - 63.$$
If $p > q$, what is the value of $p - q$?

Answers

Given:

p and q are the two distinct solutions to the equation

[tex](x-3)(x+3)=21x-63[/tex]

To find:

The value of p-q if p>q.

Solution:

We have,

[tex](x-3)(x+3)=21x-63[/tex]

[tex](x-3)(x+3)=21(x-3)[/tex]

[tex](x-3)(x+3)-21(x-3)=0[/tex]

[tex](x-3)(x+3-21)=0[/tex]

[tex](x-3)(x-18)=0[/tex]

Using zero product property, we get

[tex]x-3=0\text{ and }x-18=0[/tex]

[tex]x=3\text{ and }x=18[/tex]

Here, 18>3, so p=18 and q=3.

Now,

[tex]p-q=18-3[/tex]

[tex]p-q=12[/tex]

Therefore, the value of p-q is 12.

Answer:

The answer is 5, the "Expert Verified" is wrong :)

Step-by-step explanation:

First we try factoring the left side to simplify it. Now we can multiply both sides by (x+5)and solve.

possible number of extrema a 4th degree polynomial could have is:

A. 3 or 1 extrema
B. 4 or 2 extrema
C. 5 extrema
D. none ​

Answers

Answer:

A

Step-by-step explanation:

b=9 c=4 bc+12.3=?
AAAAAAAAAAAAAAAAAAAAAAAAAASAP

Answers

Answer:

48.3

Step-by-step explanation:

since b = 9 and c = 4

9 x 4 = 36 and 36 + 12.3 = 48.3

Plz help plz I’m begging I will give brainliest

Answers

Answer:

B is the answer.

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

-2 and 1/4 is the same as -9/4 bec -9/4 is just in the improper form.

(can i get brainliest now)

Solve using substitution.
y = 3x – 6.
y = 2x – 1

Answers

Answer:

x = 1 and y = 3

Step-by-step explanation:

To use substitution, you want to substitute something for another variable. So lets take the first equation and solve for y

2x - y = -1

2x = y - 1

2x + 1 = y

Now we can substitute 2x + 1 for y in the other equation

3x + 2x + 1 = 6

5x = 5

x = 1

now that we have x, we can get y

2(1) - y = -1

2 - y = -1

2 = y - 1

3 = y

So x = 1 and y = 3

what is this answer!!!!!!!!

Answers

Step-by-step explanation:

what is this answer

(3x + 40) + (5x - 52) = 180°

8x - 12 = 180°

8x = 180 + 12

8x = 192

8x = 24

x = 3

X=3 ......
Hope it helps

Find the area and perimeter of the square using formula and
the given dimensions.
A square with a side length of 13 meters.

A P = 22 m, A = 129 sq. m

B P = 42 m, A = 159 sq. m

C P = 52 m, A = 169 sq. m

D P = 32 m, A = 189 sq. m

Answers

Answer:

A= l×l

= 13×13

A= 169

P= 4l

= 4×13

= 52

so the answer is C

A fruit vendor sells apples and mangos. Each apple costs the same amount, and each mango costs the same amount.

· Lucy buys 3 apples and 6 mangos for a total of $9.15.

· Amir buys 8 apples and 4 mangos for 11.92.

What is the cost of a single apple?

Answers

Answer:

$0.97

Step-by-step explanation:

Let the cost of a single apple is x and that of single mango is y.

ATQ,

3x+6y=9.15 ....(1)

8x+4y=11.92 ...(2)

Multiply equation (1) by 8 and equation (2) by 3

24x+48y=73.2 ...(3)

24x+12y=35.76  ...(4)

Subtract equation (2) from (1) :

24x+12y-(24x+48y) = 35.76  - 73.2

12y-48y = -37.44

-36y = -37.44

y = $1.04

Put the value of y in equation (1)

3x+6y=9.15

3x+6(1.04) = 9.15

3x = 9.15-6(1.04)

3x = 2.91

x = $0.97

Hence, the cost of single apple is $0.97.

A peacock walks 6 feet in 15 seconds how many feet can a peacock walk in 98 seconds?

Answers

Answer:

[tex]Distance = 39.2[/tex]

Step-by-step explanation:

Given

[tex]Distance = 6ft;\\ Time = 15seconds[/tex]

Required

Determine the distance covered in 98 seconds

To solve this, the following assumption must be made:

The peacock walks at a constant speed

So, first we calculate the speed

[tex]Speed = \frac{Distance}{Time}[/tex]

Substitute 6 for Distance and 15 for Time

[tex]Speed = \frac{6}{15}[/tex]

[tex]Speed = 0.40[/tex]

Next, is to calculate the required distance

[tex]Speed = \frac{Distance}{Time}[/tex]

In this case:

[tex]Speed = 0.40[/tex] because it is constant and

[tex]Time = 98[/tex]

The expression becomes:

[tex]0.40 = \frac{Distance}{98}[/tex]

Make Distance the subject:

[tex]Distance = 0.40 * 98[/tex]

[tex]Distance = 39.2[/tex]

The peacock will walk 39.2 feet in 98 seconds

If f(x)=|x−5|+2, find f(3)

Answers

Answer:

f(3) = 4

Step-by-step explanation:

The absolute value, |X|, is defined as the magnitude of a number without regard to its sign. For example, absolute value of 1 is 1 and absolute value of -1 is 1.

Thus, based on the function:

f(x)=|x−5|+2

f(3) = |3−5|+2

f(3) = |-2|+2

-Absolute value of -2 = 2-

f(3) = 2+2

f(3) = 4

Which of these is a point-slope equation of the line that is perpendicular to
y- 25 =2(x- 10) and passes through (-3, 7)?
A. y-7= -2(x+ 3)
B. y+7=--3)
C.y-7- -x+3)
D. y+7 = 2(x- 3)

Answers

Given:

Equation of line is [tex]y-25=2(x-10)[/tex].

A line is perpendicular to the given line and passes through (-3,7).

To find:

The point slope form of the perpendicular line.

Solution:

Point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]          ...(i)

where, [tex](x_1,y_1)[/tex] is the point from which the line is passing through and m is slope.

We have,

[tex]y-25=2(x-10)[/tex]       ...(ii)

From (i) and (ii), we get

[tex]m_1=2[/tex]

Product of slopes of two perpendicular lines is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]2\times m_2=-1[/tex]

[tex]m_2=-\dfrac{1}{2}[/tex]

So, slope of perpendicular line is [tex]-\dfrac{1}{2}[/tex].

Point slope form of the perpendicular line is

[tex]y-(7)=-\dfrac{1}{2}(x-(-3))[/tex]

[tex]y-7=-\dfrac{1}{2}(x+3)[/tex]

Therefore, the correct option is C.

A store buys purses for $24.50 and then marks them up 25%. The store then discounts any purses that do not sell in the first month by 10%. Find the sales price of the purse that do not sell in the first month

Answers

Answer:$27,57

1)find out how much wallets cost in the first month:

24,50 -100%

х      - 125%

х= 24,50*125/100 ≈ 30,63

2)we will find out how much the wallets cost after the price is reduced by 10%:

30,63 - 100%

х         -90%

х=30,63*90/100 ≈ 27,57

Step-by-step explanation:

The table below shows some prices at a produce stand.

Produce Price per Pound
Onions $2.25
Yellow Squash $2.99
Spinach $4.00
Potatoes $2.50

Florence wants to spend no more than $4 on onions. Will she be able to buy 1.9 pounds of onions? Complete the explanation. Enter your answer as a decimal rounded to tenths.

HELPPPPP PLEASE!

Answers

Yes, 2.25 • 1.9 Is 4.275.
Rounded to the tenths it will be 4.28
4.28 and/or 4.275 is still above the integer 4
NALKWKWKW IOWOW KWN 7q
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