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

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.

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.

i need help plz :( i don’t understand

Answers

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

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

Answers

$82.50 is saved !! :)

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 :)

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]

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

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:

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 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

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 :)

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

Answers

Answer:

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

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

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:

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

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.

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

1121 help44445555 ty

Answers

Answer:

B

Step-by-step explanation:

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

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!

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

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

The product of a number n and 8 is 32

Answers

The answer is 8n=32

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

trig question above plz plz plz help

Answers

The answers are:
1. B
2.C

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

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

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