Solve the matrix equation for X.

Solve The Matrix Equation For X.

Answers

Answer 1

See the attached picture:

Solve The Matrix Equation For X.
Answer 2

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}-2&11\\-1&10\end{array}\right]}[/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right] +X=\left[\begin{array}{ccc}6&4\\0&5\end{array}\right]\\\\\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right] -\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right]+X=\left[\begin{array}{ccc}6&4\\0&5\end{array}\right] -\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right]\\\\X=\left[\begin{array}{ccc}6-8&4-(-7)\\0-1&5-(-5)\end{array}\right]\\\\X=\left[\begin{array}{ccc}-2&11\\-1&10\end{array}\right][/tex]


Related Questions

help-------------------------------

Answers

Answer:

Step-by-step explanation:

3²π = 9π

ANSWER

28.26 units square.

EXPLANATION

The area of a circle is given by

[tex]A = \pi \: {r}^{2} [/tex]

The radius of the circle is given as 3 units.

We substitute r=3 and π=3.14 into the formula to obtain:

[tex]A = 3.14 \: \times {3}^{2} [/tex]

[tex]A = 28.26sq. \: units[/tex]

Therefore the area of the circle 28.26 units square.

A 3-pound bag of sugar costs $9.12. What is the price per ounce

Answers

To find the price per ounce of a 3-pound bag of sugar costing $9.12, multiply the pounds by 16 to get the total ounces (48), then divide the cost by the total ounces to get $0.19 per ounce.

To calculate the price per ounce of sugar for a 3-pound bag costing $9.12, first determine the total number of ounces, since there are 16 ounces in a pound. Multiplying 3 pounds by 16 ounces per pound gives us 48 ounces. Next, to find the price per ounce, you divide the total cost by the total number of ounces ($9.12 ÷ 48 ounces).

Performing the division gives us the cost per ounce of sugar: $9.12 divided by 48 ounces equals $0.19 per ounce.

Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per week. This week, her goal is to make at least $75.

A. Use a system of inequalities to model the scenario above. Let x represent babysitting hours and y represent tutoring hours.
B. Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week.
C. Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model.

Answers

A. We know that [tex]x[/tex] represents babysitting hours and [tex]y[/tex] represent tutoring hours.

Since she is allowed to work 20 hours per week, her babysitting hours plus her tutoring hours can't be more than 20 hours, in other words:

[tex]x+y\leq 20[/tex]

She babysits for $6 per hour and tutor for $10 per our. Since she wants to make at least $75, the sum of babysit hours and tutoring hours must be greater or equal $75, in other words:

[tex]6x+10y\geq 75[/tex]

Now we can put our inequalities together to create our system of inequalities:

[tex]x+y\leq 20[/tex]  (1)

[tex]6x+10y\geq 75[/tex]  (2)

B. To graph our system, we first need to find the equations of the lines bounding the inequalities. To do it we, are replacing the inequality sign with and equal and solving for [tex]y[/tex] in both inequalities.

For [tex]x+y\leq 20[/tex]

[tex]x+y=20[/tex]

[tex]y=20-x[/tex]

Now we can find the y and x intercepts to graph the line.

The y-intercept occurs when x = 0, so

[tex]y=20-0[/tex]

[tex]y=20[/tex]

The y-intercept has coordinates (0, 20)

The x-intercept occurs when y = 0, so

[tex]0=20-x[/tex]

[tex]-20=-x[/tex]

[tex]x=20[/tex]

The x-intercept has coordinates (20, 0)

For [tex]6x+10y\geq 70[/tex]

[tex]6x+10y=75[/tex]

[tex]10y=75-6x[/tex]

[tex]y=\frac{15}{2}-\frac{3}{5} x[/tex]

When x = 0,

[tex]y=\frac{15}{2}-\frac{3}{5} (0)[/tex]

[tex]y=\frac{15}{2}[/tex]

y-intercept = [tex](0,\frac{15}{2})[/tex]

When y = 0,

[tex]0=\frac{15}{2}-\frac{3}{5} x[/tex]

[tex]-\frac{15}{2}=-\frac{3}{5}x[/tex]

[tex]x=-\frac{15}{2}(-\frac{5}{3} )[/tex]

[tex]x=\frac{25}{2}[/tex]

x-intercept = [tex](\frac{25}{2} ,0)[/tex]

Now, since both inequalities have greater or equal/less or equal signs, the line bounding them are solid.

Now we can put it all together to create the graph of our system (check the attached picture).

The solution of the inequality is the shaded (purple) region where the two inequalities intercept.

C. As we can see in the graph the points (10, 5), (5, 8), and (2, 9) -as well as the x and y intercepts of both inequalities, are solutions of the system.

Let's choose the point (10, 5). To prove algebraically that the point is a valid solution of the system, we just need to replace the values in our system of inequalities and prove that both inequalities are true.

Since the point is (10, 5), x = 10 and y = 5

Replacing values in (1)

[tex]x+y\leq 20[/tex]

[tex]10+5\leq 20[/tex]

[tex]15\leq 20[/tex]

Since 15 is indeed less or equal to 20, the inequality is true.

Replacing values in (2)

[tex]6x+10y\geq 75[/tex]

[tex]6(10)+10(5)\geq 75[/tex]

[tex]60+50\geq 75[/tex]

[tex]110\geq 75[/tex]

Since 110 is greater or equal 75, the inequality is true.

Both inequalities are true, so (10, 5) represents a solution for the model.

Which is a solution to (x − 2)(x + 10) = 13?
x = 3
x = 8
x = 10
x = 11

Answers

Answer: There are two answers to this x=3 and x=11

Step-by-step explanation:

Answer:  The correct option is (A). x = 3.

Step-by-step explanation:  We are given to find the solution of the following quadratic equation :

[tex](x-2)(x+10)=13.[/tex]

We have

[tex](x-2)(x+10)=13\\\\\Rightarrow x^2-2x+10x-20=13\\\\\Rightarrow x^2+8x-20-13=0\\\\\Rightarrow x^2+8x-33=0\\\\\Rightarrow x^2+11x-3x-33=0\\\\\Rightarrow x(x+11)-3(x+11)=0\\\\\Rightarrow (x-3)(x+11)=0\\\\\Rightarrow x-3=0,~~~x+11=0\\\\\Rightarrow x=3, -11.[/tex]

So, the solution of the given equation is x = 3 and x = -11.

Thus, the correct option is (A). x = 3.

I need help please?!!!

Answers

Answer:

True

Step-by-step explanation:

If the line is solid, it is part of the solution; if it is dotted or dashed, it is not.  Solid is ≥ ≤ while dashed is > <

PLS HELP, ILL GIVE U BRAINLIEST IF YOU'RE RIGHT.
Find the product: (5/3)(2/3)(21)

Answers

Answer:

23.3 repeating

Step-by-step explanation:

23.333 or 23 1/3

Multiply (5/3)(2/3) = 10/9 now multiply that by 21 and you get 23.333 or 23 1/3 or 70/3

A triangle has an area of 36 square centimeters and a base of 6 centimeters. Find the height. a. 6 cm c. 18 cm b. 12 cm d. 10 cm

Answers

Answer:

B

Step-by-step explanation:

Final answer:

To find the height of a triangle given the area and the base, rearrange the area formula and plug in the known values. For an area of 36 square centimeters and a base of 6 centimeters, the height is calculated to be 12 centimeters.

Explanation:Finding the Height of a Triangle

The problem given states that a triangle has an area of 36 square centimeters and a base of 6 centimeters, and asks us to find the height. To solve this, we use the area formula for a triangle, which is Area = 1/2 × base × height. We have the area and the base, so we can solve for the height.

Step-by-step calculation:

Rearrange the area formula to solve for the height:
height = (2 × Area) / base.Plug in the values: height = (2 × 36 cm²) / 6 cm.Calculate the height: height = 72 cm² / 6 cm = 12 cm.

Therefore, the height of the triangle is 12 centimeters (Answer b).

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What is the perimeter of the figure?
A
73.4 units
B
71.6 units
©
69.1 units
D
40.3 units

Answers

Answer:

73.4 units is the answer for the figure

Answer:

A. 73.4

Step-by-step explanation:

I jyst did the test lol

a house bought for $110000 and sold for $180000 in profit percentage​

Answers

Answer:

Net Profit Margin: 38.89%

Net Profit: $70,000.00

Profit Percentage: 63.64%

Step-by-step explanation:

How do I solve this?

A quadratic function is shown.

f(x) = 3x² + 30x + 27

What is the minimum value of this function? (Hint: complete the square)

Answers

The minimum  happens at x = -b/2a

x = -30 / 2(3) = -30/6 = -5

Now replace x in the equation with -5 and solve:

3(-5)^2 + 30(-5) +27 = 75 - 150 + 27 = -48

The minimum is at (-5,-48)

The min is x= -b/2a

X=-30/2(3)

-30/6= -5

Mairisa gets $8 per week for an allowance. She saves 25% of her allowance each week. How long will it take Mauritania to save $16. Question :#7

Answers

Answer:

8

Step-by-step explanation:

Answer:

It would take Mauritania about 8 weeks to save up $16.

18 Carmen and Abe act out a math problem. Carmen puts
7 counters each into 3 different cups. Abe takes 3 of the count
How many counters does Carmen have left? Circle the letter
of the correct answer.
A
24
B 21
C 18
D 15
Jim chose A as the correct answer. How did he get that answe

Answers

Answer:

the answer is C

Step-by-step explanation:

if there are 3 cups and he put seven in each then multiply 7 by 3 and you get 21 then take 3 away and you have 18

Final answer:

Carmen has 18 counters left.

Explanation:

To find out how many counters Carmen has left, we need to subtract the number of counters taken by Abe from the initial number of counters Carmen had.

Carmen initially had 7 counters in each of the 3 cups, so she had a total of 7 x 3 = 21 counters.

Abe took 3 counters, so we subtract 3 from 21 to find that Carmen has 18 counters left.

Therefore, option C, 18, is the correct answer.

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Factor the polynomial
4m² + 10m + 4

Answers

Answer:

2 (2m+1) (m+2)

Step-by-step explanation:

4m² + 10m + 4

Factor out a 2

2(2m^2 +5m+2)

2 (2m+1) (m+2)

need help soon! Lavonne is using the dot plots to compare two sets of data. Both plots use the same number line. Which choice most likely describes the data sets Lavonne is comparing?

Answers

Answer:

Weight of 4th graders, weight of 8th graders

Step-by-step explanation:

Got it right on IM

Plot 1 represents the weight of 4th grade students in pounds and plot 2 represents the weight of 8th grade students in pounds.

What is Number Line?

A number line is a straight line drawn horizontally where the numbers are placed at an equal intervals.

Given two dot plots in number line.

Both of the plots are using the same number line.

The values of numbers on the number line increases as we move towards right.

So the values market in the first plot is smaller values than that in the second plot.

If the weight of notebooks in kilogram is plotted in second plot, then the number of notebooks corresponding to each number in the number line should be same. But this is not the case, as in pot 1, there are 3 notebooks in the first value, but only 1 notebook in plot 2 as the first value.

Heights of skyscrapers can't be compared with ounces of water in bottle.

Weights of 3rd grade boys and girls will not be at this distance far.

So the option is c.

Hence the third option is the one representing the plots.

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How many solution does the system contain

Answers

Answer:

0

Step-by-step explanation:

Solutions of systems are found where the graphs intersect one another.  These 2 functions will never intersect, therefore, there is no solution.  It is known as inconsistent.

Is the equation 4 x^2 + 2 x - 4=5 x^2
linear or​ quadratic?

Answers

Answer:Quadratic because I think so and because it has fours in it so yeah good luck :p

Answer:

Linar

Step-by-step explanation:

it only has one variable

Which of the following is the equation of a parabola with focus (0, 2) and directrix y = -2?

Answers

Answer:

y = [tex]\frac{1}{8}[/tex] x²

Step-by-step explanation:

For any point (x, y) on the parabola the focus and directrix are equidistant.

Using the distance formula

[tex]\sqrt{(x-0)^2+(y-2)^2}[/tex] = | y + 2 |

Square both sides

(x - 0)² + (y - 2)² = (y + 2)² ← expand parenthesis

x² + y² - 4y + 4 = y² + 4y + 4 ( subtract y² + 4y + 4 from both sides )

x² - 8y = 0 ( subtract x² from both sides )

- 8y = - x² ( divide both sides by - 8 )

y = [tex]\frac{1}{8}[/tex] x²

The box part of the box plot contains all the values between which numbers?
between 27 and 36 and between 37 and 40
between 32 and 36
between 32 and 37
between 27 and 32 and between 37 and 40

Answers

Answer:

"between 32 and 37"

Step-by-step explanation:

You can clearly look at the number line and see that each small line represents 1 unit.

Look at the box.

The left side of the box coincides with  2 units after 30, so 30 + 2 = 32

THe right side of the box coincides with  2 units after 35, so 35 + 2 = 37

Hence, the box part of the box plot contains all the values between 32 and 37

Between 27 and 36 and 32 and 37

The adjoining diagram shows two intersecting straight lines. find the value of
[tex]x \: y \: and \: z[/tex]

Answers

here u go, see if u understand

What is the value of the expression “eight more than three times the difference of four and a number” when n = 3?

Answers

Answer:

The value of the expression would be 11.

Step-by-step explanation:

3 (4 - n) + 8

When n = 3:

3 (4 - 3) + 8

3 (1) + 8

3 + 8

11

Answer:

 11

Step-by-step explanation:

Let the number is n

Then as per statement of the question

"Eight more than three times the difference of four and a number"

Expression will be [3(4-n)+8]

Now for n = 3

Value of the expression will be [3(4 - 3 ) +8]

                    = [ 3 × 1 + 8 ]

                   = 11

Jessica is on a website that lets her build her own pizza for delivery. She has a budget of $14 (Not including tax or tip) to spend on her pizza. The pizza she wants costs $9.50 and includes 1 topping of her choice. She can also add additional toppings for $0.75 each.

We have found that Jessica can model this situation using the inequality

0.75(t−1)+9.50≤14 where t ≥ 1



Which of the following correctly states the amount of toppings Jessica can put on her pizza.

Select one:
a. Jessica can have up to 8 toppings on her pizza
b. Jessica can have up to 5 toppings on her pizza
c. Jessica can have up to 6 toppings on her pizza
d. Jessica can have up to 7 toppings on her pizza

Answers

Answer:

d. Jessica can have up to 7 toppings on her pizza

Step-by-step explanation:

We know that the inequality that gives us the number of toppings Jessica can put on her pizza is [tex]0.75(t-1)+9.50\leq 14[/tex] where [tex]t\geq 1[/tex], so, to find the number of topics we just need to solve the inequality.

Let's do it step-by-step

Step 1. Subtract 9.50 from both sides of the inequality

[tex]0.75(t-1)+9.50-9.50\leq 14-9.50[/tex]

[tex]0.75(t-1)\leq 4.50[/tex]

Step 2. Distribute 0.75 to the two terms inside the parenthesis

[tex]0.75t-0.75\leq 4.50[/tex]

Step 3. Add 0.75 to both sides of the inequality

[tex]0.75t-0.75+0.75\leq 4.50+0.75[/tex]

[tex]0.75t\leq 5.25[/tex]

Step 4. Divide both sides of the inequality bu 0.75

[tex]\frac{0.75t}{0.75} \leq \frac{5.25}{0.75}[/tex]

[tex]t\leq 7[/tex]

Jessica can put up to 7 topping on her pizza.

We can conclude that the correct answer is d. Jessica can have up to 7 toppings on her pizza

Please help with this

Answers

Answer:

x = 25

Step-by-step explanation:

Step 1: Make a proportion

40/20 = 50/x

Step 2: Solve your proportion

2 = 50/x

2x = 50

x = 25

Answer:

try using a ruler

Step-by-step explanation:

the area of a sector of a circle witha radius measuring 30cm 100 pi cm. what is the measure of the central angle that forms the sector?​

Answers

Answer:

The central angle is [tex]40\°[/tex] or [tex]\frac{2}{9}\pi\ radians[/tex]

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=30\ cm[/tex]

substitute

[tex]A=\pi (30)^{2}[/tex]

[tex]A=900\pi\ cm^{2}[/tex]

step 2

Find the central angle in degrees for a sector with area [tex]100\pi\ cm^{2}[/tex]

Let

x----> the measure of the central angle in degrees

Remember that the area of the circle subtends a central angle of 360 degrees

so

using proportion

[tex]\frac{900\pi}{360}=\frac{100\pi}{x}\\ \\x=360*100\pi/900\pi \\ \\x=40\°[/tex]

step 3

Find the central angle in radians for a sector with area [tex]100\pi\ cm^{2}[/tex]

Let

x----> the measure of the central angle in radians

Remember that the area of the circle subtends a central angle of [tex]2\pi[/tex] radians

so

using proportion

[tex]\frac{900\pi}{2\pi}=\frac{100\pi}{x}\\ \\x=2\pi*100\pi/900\pi \\ \\x=\frac{2}{9}\pi\ radians[/tex]

Please help right away

Answers

Answer:

177 balls

Step-by-step explanation:

Let's start with the space we need for each sphere. If we approximate the value of the area to that of a cube that has the same dimensions of the diameter

[tex]V=H*W*D=0.8*0.8*0.8= 0.51 inches3

I can calculate the volume of the box as

[tex]V=H*W*D=3*4*7.5= 90 inches3

Finally I divide the volume of the box between the volume I need for each sphere Vt/Vs= 90/0.51 ≅ 177 balls

it takes jesse 2/3 hour to mow her backyard. how much of the yard will be mowed
after 1/4 hour

Answers

Answer:

3/8 backyard in 1/4 hour

Step-by-step explanation:

Her rate is (1 backyard) / (2/3 hour), or 3/2 backyard per hour.

At this rate, after 1/4 hour, she will have mowed:

  3/2 backyard         1 hr

------------------------- * ---------  =  3/8 backyard in 1/4 hour

       1 hour                  4

Final answer:

Jesse will mow 0.375 or 37.5% of the yard after 1/4 hour given that she takes 2/3 of an hour to mow the entire yard.

Explanation:

To solve this problem, we first understand that to mow the entire yard, Jesse takes 2/3 of an hour. Thus, the proportion of the yard that Jesse mows in 1 hour is 1 / (2/3) = 1.5. So, in 1/4 of an hour, the proportion of the yard that Jesse mows is (1/4) * 1.5 = 0.375.

Therefore, Jesse will mow 0.375, or 37.5% of the yard after 1/4 hour.

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can someone help me please

Answers

Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (1, - 1) ← 2 points on the line

m = [tex]\frac{-1-1}{1-0}[/tex] = - 2

Answer:

Slope = -2

Step-by-step explanation:

(0,1) and (1,-1)

Slope = (-1 -1)/(1-0)

Slope = -2


Volleyball Quiz (PLZ HELP)
Question 1 (1 point)


You must be serving to earn points
Question 1 options:
True
False
Question 2 (1 point)


You are allowed 2 serves per side per point
Question 2 options:
True
False
Question 3 (1 point)


A perfect play is Bump-Set-Spike
Question 3 options:
True
False
Question 4 (1 point)


You must win by 2 points
Question 4 options:
True
False
Question 5 (1 point)


If the ball hits the net it is considered:
Question 5 options:


Fair


Side-out


Out


In

Answers

1. True. You have to serve to earn points

2.false. You get one serve

3. True

4. True

5. Fair

Answer:

You must be serving to earn points

Question 1 options:

True  <---

False

Question 2 (1 point)

You are allowed 2 serves per side per point

Question 2 options:

True

False  <---

Question 3 (1 point)

A perfect play is Bump-Set-Spike

Question 3 options:

True  <---

False

Question 4 (1 point)

You must win by 2 points

Question 4 options:

True  <---

False

Question 5 (1 point)

If the ball hits the net it is considered:

Question 5 options:

Fair

Side-out  <---

Out

In

Step-by-step explanation:

I just did the quiz and I got %100. These were the answers. I hope it helps :)

 

a computer that normally costs $500 is on sale for 15% off. if a person makes 5% commission on sales, how much should he get for selling this computer

Answers

Answer:

$21.25

Step-by-step explanation:

$500 * (1-.15)=$425 Sales Price

$425 * .05= $21.25 Commission


Enter the next three numbers of the repeating decimal produced by the
fraction 2-7
0.285714285714

Answers

Answer:

The next three numbers are; 2,8, and 5.

Step-by-step explanation:

Answer:

fraction 2-7

0.285714285714

Step-by-step explanation:

O,60 is the same rotation as O,

-300
120
300

Answers

Answer:

-300

Step-by-step explanation:

A counter-clockwise rotation is positive.

A clockwise rotation is negative.

Start at the top and go counter-clockwise 60 degrees.

Start at the top and go clockwise 300 degrees.

You end up at the same point.

It is -300 because a clockwise rotation is negative.

Here is a link with my work:

https://docs.google.com/document/d/1qWHf3acY0HKyWf8hU-_CKpbPZO214G__EGPvn53vM2I/edit?usp=sharing

Hope this helps! :)

- 300 is the same rotation as O

What is rotation?

Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

Given

A counter-clockwise rotation is positive.

A clockwise rotation is negative.

Start at the top and go counter-clockwise at 60 degrees.

Start at the top and go clockwise at 300 degrees.

It is -300 because a clockwise rotation is negative.

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