use the matrix tool to solve the system of equations enter the answer as an ordered pair. 8x+5y=9 -x+y=7

Answers

Answer 1

Answer:

x = -44/13

y = -65/13

Step-by-step explanation:

Using matrix form means using the crammers rule

The matrix form of the expression is written as;

[tex]\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right][/tex]

AX = B

taking the determinant of A;

|A| = 8(1) - 5(-1)

|A| = 8 + 5

|A| = 13

After replacing the first row with the column matrix;

[tex]A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right][/tex]

|Ax| = 9(-1)-5(7)

||Ax| = -9 - 35

|Ax| = -44

x = |Ax|/|A|

x = -44/13

similarly for y

[tex]A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right][/tex]

|Ay| = 8(7)+9

|Ay| = 56+9

|Ay| = 65

y = |Ay|/|A|

y = -65/13


Related Questions

The radius of a circle is 12 feet. What is the circle's area?
r=12 ft
Use 3.14 for .
square feet
Submit

Answers

Answer:

452.16 ft²

Step-by-step explanation:

Area = πr² = π(12)² = 144π = 452.16 ft²

X+2y=0
12y= -6x

Plzzz this is due 11:59

Answers

Answer:1. X+2y=0 answer:−2y     2. 12y= -6x answer:x=−2y

Step-by-step explanation:

help me please this is super hard for me

Answers

Answer:

D

Step-by-step explanation:

Answer:

Answer is D I believe

Step-by-step explanation:

shows all of the possible outcomes

What is the LCM of 4 and 8

Answers

Answer:

8

Step-by-step explanation:

Let me make a table for you.

4,8,

8,

8 would be your answer.

Let me know if i can help you more!

Triangle Review 2.0 (Math i need help please)

Answers

Answer:

A= 30

Step-by-step explanation:

This requires several steps.

First, you need to find the 2 other missing angles.

One can be found easily by substracting 130 from 180

so 180-130 = 50

The other angle is the same as 8x+4

Now set up your equation

180=3x-6 + 8x+4 +50

180 = 3x + 8x -6 + 4 +50

180+6-4-50 = 11x

132 = 11x

132/11 = x

12 = x

Now plug in 12 for x in your angle A

A=3x-6

A=3 * 12 - 6

A=36 - 6

A= 30

i need help plz :( i don’t understand

Answers

The period stretches from 0 to pi so the answer should be pi

Which one is an example of an expression?

Answers

Answer:

Step-by-step explanation:

5x+5

Answer:

the first option will the correct answer

A phone case, which originally
costs $14.50, is on sale for 32% off.
What is the cost of the phone case
after the discount? ?

Answers

$9.86

explanation:
100-32=68
14.5(.68)

The product of a number n and 8 is 32

Answers

The answer is 8n=32

Jose has 200 baseball cards. He has the Topps brand which he paid $1.50 each, Upper Deck Company brand which he paid $5.75 each, and Panini Group brand which he paid $2.60 each. He has 20 fewer Upper Deck Company brand than Panini Group brand. The total amount he spent was $589.50. How many of each brand of baseball cards does he have?

Answers

Answer:

Jose has 70 Panini, 50 Upper Deck, and 80 Topps cards.

Step-by-step explanation:

Given that Jose has 200 baseball cards, and he has the Topps brand which I have paid $ 1.50 each, Upper Deck Company brand which I have paid $ 5.75 each, and Panini Group brand which I have paid $ 2.60 each, and he has 20 fewer Upper Deck Company brand than Panini Group brand, and the total amount he spent was $ 589.50, to determine how many of each brand of baseball cards does he have, the following calculation must be performed:

100 Panini + 80 Upper Deck + 20 Topps = X

100 x 2.6 + 80 x 5.75 + 20 x 20 x 1.5 = X

260 + 460 + 30 = X

X = 750

80 Panini + 60 Upper Deck + 60 Topps = X

80 x 2.6 + 60 x 5.75 + 60 x 1.5 = X

208 + 345 + 90 = X

X = 643

60 Panini + 40 Upper Deck + 100 Topps = X

60 x 2.6 + 40 x 5.75 + 100 x 1.5 = X

156 + 230 + 150 = X

X = 536

70 Panini + 50 Upper Deck + 80 Topps = X

70 x 2.6 + 50 x 5.75 + 80 x 1.5 = X

182 + 287.5 + 120 = X

X = 589.5

Therefore, Jose has 70 Panini, 50 Upper Deck, and 80 Topps cards.

The length the height of a rectangular prism are 12 feet and 9 feet respectively. Determine the width of the rectangular prism whose surface area is 258 square feet

Answers

Answer:

Width = x feet = 1 feet

Step-by-step explanation:

Surface area of a rectangular prism = 2(lw +lh + wh)

Length = 12 feet

Width = x feet

Height = 9 feet

Surface area = 258 square feet

Surface area of a rectangular prism = 2(lw +lh + wh)

258 = 2{(12*x) + (12*9) + (x*9)}

258 = 2(12x + 108 + 9x)

258 = 24x + 216 + 18x

258 - 216 = 24x + 18x

42 = 42x

x = 42/42

x = 1 feet

Width = x feet = 1 feet

Solve for the value of a in the triangle below. Round your answer to the nearest tenth

Answers

Answer:

........................

Kim and Ben are planting a garden. Kim plants 24 flowers in 2 hours. Ben plants 33 flowers in 3 hours. Whose rate is faster?

Answers

Kim’s is faster because she plants 12 flowers per hour while Bens plants 11 flowers per hour

What is the equation of the following line? Be sure to scroll down first to see
all answer options

Answers

The equation of this line is C; it is y=-4x due to the fact that the rise over run is 8/-2. It is -2 as you are shifting to the left to get to (0,0). It is divisible into an equal number which is -4.

Answer:

y= -4x

Step-by-step explanation:

х
-
The table shows a proportional relationship between x and y. Which is k, the constant
of proportionality, such that y = kx?
у. x
0 0
3. 5
6. 10
9 15
12 20

Answers

Answer:C 3/5

Step-by-step explanation: the answer is not as seen on everyone’s lesson but I did the math

Charles says that the number line shows all the values that make the inequality
n2-1 true. Do you agree with Charles? Explain.
4 5
-3 -2 -1
0 1 2 3

Answers

Answer:

no

Step-by-step explanation:

n ≥ - 1

The inequality states that n is greater than or equal to - 1

To show the equal part on the number line the point at - 1 must be a solid circle, not an open one

No, the given number line does not represent the number line shown by Charles.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,

The inequality is given by Charles,
n ≥ -1

But in the given number line, the value of n is not defined as 1, but Charles inequality consists of the value of n = 1, so the given number line does not represent the number line shown by Charles.

Thus, the given number line does not represent the number line shown by Charles.

Learn more about number line here:

brainly.com/question/17683084

#SPJ2

Write an equivalent expression d+d+d+e+e+e?
please help ​

Answers

Without context, d^3 + e^3 is equal to the equation you just showed.

What is the total area of the figure below?​

Answers

so: to calculate the area of a triangle is equal to (bxh)/2 and for the trapezoid is ((a+b)/2)xh
so for the triangle part we need to substitute each part for the formula (6x8)/2 which is equal to= 24inch^2. While for the trapezoid substituted would end up like this: ((16+10)/2)(9) which equals to 117 inch^2
yo get the total area we need to add both of them and it would end up being 117inch^2 + 24inch^= 141 inch^2

Divide using a common factor of 5 to find an equivalent fraction for ten tenths
one fifth
two fifths
five-tenths
two halves

Answers

Answer:

the correct answer is two halves

Step-by-step explanation:

10/10 divided by 5 is 2/2

trig question above plz plz plz help

Answers

The answers are:
1. B
2.C

Jenna ordered four pizzas for $8.55 each, including tax. If she wanted to give a
15% tip, what would her total bill be?

Answers

Given:

Cost of each pizza including tax = $8.55

Number of pizzas = 4

Tip = 15%

To find:

Her total bill.

Solution:

We have,

Cost of 1 pizza including tax = $8.55

Cost of 4 pizza including tax = [tex]4\times \$8.55[/tex]

                                                = [tex]\$34.2[/tex]

It is given that she wanted to give a 15% tip. So, tip is 15% of $34.2.

[tex]\dfrac{15}{100}\times \$34.2=\$5.13[/tex]

Thus, the amount of tip is $5.13.

Now the total amount of bill is:

[tex]\text{Total amount of bill}=\text{Cost including tax}+\text{Tip}[/tex]

[tex]\text{Total amount of bill}=\$34.2+\$5.13[/tex]

[tex]\text{Total amount of bill}=\$39.33[/tex]

Therefore, the total amount of bill is $39.33.

a 550 washing machine is discontinued 15% how much is saved

Answers

$82.50 is saved !! :)

1121 help44445555 ty

Answers

Answer:

B

Step-by-step explanation:

Please answer this math question for me

Answers

Answer:

Hello!! answer: a = 45

Step-by-step explanation:

This is a complimentary angle so we will just do 90 - 45 and get 45 because 45 + 45 = 90 Hope that helps!

Answer:

a = 45

Step-by-step explanation:

The total angle of the shape is 90°

That means you should subtract 90° from 45°

90 - 45 = 45

That's your answer!

Hope this helped :)

O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?

Answers

Answer:

x=48

Step-by-step explanation:

A company is thinking about offering employee wellness classes during operational hours to boost production. They want to perform an experiment to see if employees attending these classes improve their quality of work. What is the best way to randomly choose a group of employees to attend these classes?​

Answers

Answer:

Use a computer software program that will pick employees randomly from a list.

Answer:

Use a computer software program that will pick employees randomly from a list

Step-by-step explanation

i took the test :)

The length of a rectangle is 5 inches and the width is 7 inches. What is the area of
the rectangle?

Answers

Answer:

35 inches

L×W=A

length×width=area

Answer:

35

Step-by-step explanation:

A = wl

7 x 5 = 35

Mark as Brainliest

What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%

Answers

This gives no information, how many of each were sold

Answer:

im going to say c 55%

Step-by-step explanation: please let me know if its wrong so i can fix it thanks

May I have help to figure out how to do this? It is confusing! :(

Answers

Answer:

it should be 80%

Step-by-step explanation:

I hope this helps

How do you solve 12*0.2^8=x ?

Answers

Answer:

[tex]x = 3.072 * 10^{-5}[/tex]

Step-by-step explanation:

[tex]x = 12*0.2^8[/tex]

[tex]x = 12 * 2.56E-6 = 0.00000256[/tex]

[tex]x = 3.072E-5 = 0.00003072[/tex]

Other Questions
I-Ready Surface area of composed figures what is the surface area of this design 3x + 5y = 7;( -1 , 2) write an eqautian thats perpidicaluar to the given line that passes through the given point The options for closing inventory is A. 10.50B. 10C. 10.25Total cost options are A. 8,050B. 8,000C. 8,200 The density of a solid bar is 25 pounds per cubic foot. If the bar has a volume of 5.2 cubic feet, what is the weight of the bar?NO LINKS PLSSSS nelson mandela role in anc 4+2y Passage 1 Called the "Golden State," California is the third largest state in the U.S. It is only smaller than Alaska and Texas. In 1849, thousands of people moved there to look for gold. They were called forty-niners in honor of the date they moved. The state was admitted to the Union in 1850. Today, it is known as the land of the giant redwoods. It has the highest population of any state in the nation and is our main farming state. It is also the home of Hollywood, the center of the movie and TV business. Passage 2 The first big gold strike in the U.S. started at Sutter's Mill in 1848. It was found near a river in California. Soon, thousands of people traveled to the state to find gold. Most people lived outside in rundown camps. They put up with harsh weather and wildlife. They did not mind because they thought they would find gold and get rich. These people were called forty-niners because they mostly moved in 1849. That year, about 80,000 people had moved west. By 1853, the number went up to 250,000. 4 Which statement best describes how passage 2 is different from passage 1? A. Passage 2 explains the meaning of "forty-niners." B. Passage 2 gives the nickname for the state. C. Passage 2 gives the date that California became a state. D. Passage 2 gives facts about how many people moved west. Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a linethrough the two points. Which equation represents Nolan's line?O y = 2x + 1O y = 2x +3O y = ax + 2O y = 3x + 5 help me asap please I will mark brainliest and give extra points HELP!!!!! Im on a test rn. Which of the following is a sign that Ponyboy cares for Darry?? Two points on the graph of a quadratic function are shown on the grid belowWhat is the equation of the axis of symmetry of the graph of the function? a) x=-3 b) x=4 c) x=3 d) x=-4 can someone pls help What is the median number of 4,4,2,1,4 You are a drop of water going through the water cycle. Where doyou go?How do you get there? What processes do you go through?Include at least three phases of the water . Which of the following is the best definition for the term dangling participle?A. A modifier that interrupts the flow of the sentenceB. A clause in which the subject is omittedC. A participial phrase that precedes a main clause but doesn'tclearly connect with a subjectD. A modifier that doesn't clearly refer to any word in the sentence The relative values of the mean and median for the original data set are typical of data that have a significant skew to the right. What are the relative values of the mean and median for the original data set What is data and what are some of the kinds of data that are increasingly being stored online? What is a "data breachefor governments, organizations, and individuals? THIS IS MY LAST QUESTION I WILL MARK U BRAINLIEST OR PAY U IDC PLEASE JUST HELP On day 2, Jonathan fills water bottles at a constant rate after 1 day of filling up a fewwater bottles. If B(m) = 3m + 12 represents this scenario where m represents the numberof minutes he spent filling up water bottles, how many minutes did he take to fill 552water bottles? Which statement about the data is true?228, 251, 22, 206, 254, 288, 228, 242The mean, median, and mode are all appropriate measures of center.The median is the only appropriate measure of center.Both the mean and median are appropriate measures of center.Both the median and mode are appropriate measures of center. Es bueno que Alejandro ____el traje azul. (ponerse)