Which matrix equation can be used to solve the system?
(2x+ 5y = 15
X + 3y = 18

Which Matrix Equation Can Be Used To Solve The System?(2x+ 5y = 15X + 3y = 18

Answers

Answer 1

THE CORRECT OPTION IS A where the input data is correct

Answer 2

Answer:

option 3

Step-by-step explanation:

[tex]AX = B\\X = A^{-1}B\\\\A = \left[\begin{array}{CC}\\2&5\\1&3\end{array}\right]\\\\\\B =\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\X =\left[\begin{array}{C}\\x&y\end{array}\right][/tex]

[tex]det A = 1\\\\adj A = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right][/tex]

[tex]A^{-1} = \frac{1}{det A} \times Adj A[/tex]

      [tex]= 1 \times \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\\\\\\= \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right][/tex]

Therefore,

      [tex]X = A^{-1}B\\\\\\\left[\begin{array}{C}\\x&y\end{array}\right] = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\[/tex]


Related Questions

Blueberry pies sold each day

Least:
Greatest:
Median (02):
Lower Quartile (Q1):
Upper Quartile (03):


Answers

Least: 1
Greatest:8
Median(02):4
Lower quartile(q1):3
Upper quartile(03):5

Blueberry pies sold each day So, Least: 1, Greatest:8, Median(02):4,

Lower quartile(q1):3, Upper quartile(03):5.

What are quartiles?

When we get data that can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.

The lower quartile, also called the first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

Left to right is said in the assumption that data were arranged increasingly from left to right.

From the given data

The Least number is  1.

The greatest number is 8.

The Median(02) is  4.

Lower Quartile (Q1): 3

Upper Quartile (03): 5

Learn more about quartiles here:

brainly.com/question/9260741

#SPJ2

2. Suppose over several years of offering AP Statistics, a high school finds that final exam scores are normally distributed with a mean of 78 and a standard deviation of 6. A. What are the mean, standard deviation, and shape of the distribution of x-bar for n

Answers

Answer:

By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 78 and a standard deviation of 6

This means that [tex]\mu = 78, \sigma = 6[/tex]

Samples of n:

This means that the standard deviation is:

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}[/tex]

What are the mean, standard deviation, and shape of the distribution of x-bar for n?

By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.

Any help would be greatly appreciated!

Answers

Answer:

the answer for that question is sqrt(49)

⦁ A $10,000 certificate of deposit earns simple interest of 8 percent per year. Calculate the total earned money over the 5 year period?

Answers

Answer:

The total earned money over the 5 year period=$14,000

Step-by-step explanation:

We are given that

Principle amount, P=$10000

Rate of interest, r=8%

Time, t=5 years

We have to find the total earned money over the 5 year period.

We know that

Simple interest=[tex]\frac{P\times r\times t}{100}[/tex]

Using the formula

S.I=[tex]\frac{10000\times 8\times 5}{100}{/tex]

S.I=$4000

Now,

Amount=P+S.I

Amount=10000+4000

Amount=$14000

Hence, the total earned money over the 5 year period=$14000

find the radius of a circle
if the circumference is 66cm​

Answers

Answer:

10.5

Step-by-step explanation:

Find the value of x that makes m || n

Answers

Answer:

x = 23

Step-by-step explanation:

7x - 11 = 4x + 58

(7x - 4x) - 11 = (4x - 4x) + 58

3x - 11 = 58

3x (- 11 + 11) = 58 + 11

3x = 69

3x/3 = 69/3

x = 23

What is the value of P

Answers

Answer:

Hello! answer: 42

Step-by-step explanation:

These are vertical angles meaning it will have the same measure so p = 42 hope that helps!

I neeeddddd help on this I’m failing

Answers

Answer:

AB = 9

Step-by-step explanation:

Here is a simple case of a proportion.

We see that:

3:4

x:12

what can we do to make 4 into 12?

we multiply it by 3

so we do the same to 3

3*3=9

HELLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Five friends take a maths test
Adam, Brandon, Chen together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks

What are their individual scores?

Answers

Answer:

Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.

Step-by-step explanation:

Since five friends took the maths test, and Adam, Brandon, and Chen together together scored 200 marks; Brandon, Chen and Damion together scored 215; Chen, Damion and Erica together scored 224; and Damion and Erica scored more than Chen; While the five of them together scored 350 marks, to determine what are their individual scores the following calculations must be done:

Adam + Brandon + Chen = 200

Damion + Erica = 150

Brandon + Chen + Damion = 215

Adam + Erica = 135

Chen + Damion + Erica = 224

Adam + Brandon = 126

Adam + Brandon = 126 + Chen = 200

Chen = 200 - 126

Chen = 74

Damion and Erica scored more than Chen

Chen + Damion + Erica = 224

74 + Damion + Erica = 224

Damion + Erica = 150

Damion = 75

Erica = 75

Brandon + Chen + Damion = 215

Brandon + 74 + 75 = 215

Brandon = 215 - 74 - 75

Brandon = 66

Adam = 350 - 75 - 75 - 74 - 66

Adam = 60

Therefore, Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.

f(x) = –?
+ x
Find f(-1)

Answers

Answer:

Replace the variable x with −1

in the expression.

f(−1)=−(−1)²−1

Simplify −(−1)²−1.

Remove parentheses.

−(−1)²−1

Multiply −1 by (−1)²

by adding the exponents.

(−1)³−1

Raise −1 to the power of 3.

−1−1

Subtract 1 from −1.

−2

Step-by-step explanation:

Hope it's right

A dozen apples costs $2.35. At this rate, how much would 5 apples cost?

Answers

Answer:

0.95 is your answer

Step-by-step explanation:

Answer:

$.98

Step-by-step explanation:

so if a dozen apples cost $2.35 that can be represented by the equation 12x=2.35

so solve that for x because that is the price of a single apple

so then if you just leave it because it is a weird decimal then x times 5(to figure out how much 5 apples cost) is

(2.35/12) * 5 = 47/48 or about $.98

so five apples cost $.98

(-2,-3) (-1,2) write the equation in y=mx+b​

Answers

Answer:

y = 5x + 7

Step-by-step explanation:

(-2, -3) & (-1, 2)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(2 - (-3)) / (-1 - (-2))

Simplify the parentheses.

= (2 + 3) / (-1 + 2)

= (5) / (1)

Simplify the fraction.

5/1

= 5

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 5x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 5(-1) + b

To find b, multiply the slope and the input of x(-1)

2 = -5 + b

Now, add 5 to both sides to isolate b.

7 = b

Plug this into your standard equation.

y = 5x + 7

This is your equation.

Check this by plugging in the other point you have not checked yet (-2, -3).

y = 5x + 7

-3 = 5(-2) + 7

-3 = -10 + 7

-3 = -3

Your equation is correct.

Hope this helps!

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

[tex]sin^{-1}(\frac{51}{53})\\=74.21\\[/tex]

≈74

Sandi randomly selects a single bill from an envelope containing 8 ones, 5 fives, 4 tens, and 3 twenties. What is the expected value of the money she selects

Answers

Answer:

The expected value of the money she selects is 6.65.

Step-by-step explanation:

Expected value:

Sum of each outcome multiplied by its probability.

We have:

8 + 5 + 4 + 3 = 20 total bills.

8 are ones, so P(X = 1) = 8/20 = 0.4.

5 are fives, so P(X = 5) = 5/20 = 0.25.

4 are tens, so P(X = 10) = 4/20 = 0.2

3 are twenties, so P(X = 20) = 3/20 = 0.15.

What is the expected value of the money she selects?

[tex]E(X) = 0.4*1 + 0.25*5 + 0.2*10 + 0.15*20 = 6.65[/tex]

The expected value of the money she selects is 6.65.

Sara
has
what
you can work out
she needs.
Saved & 75. This is 30% of
She needs. Explain how​

Answers

Answer:

The question seems incomplete.

Step-by-step explanation:

Multiply 0.06 by 0.021​

Answers

Answer:

Just multiply:

= 0.06×0.021

= 1.26

is this the right answer I don't even know my answer

Answer:

0.00126

Step-by-step explanation:

If you just ignore the decimals for a second, and focus on the numbers, then when you multiply 6 by 21, you get 126.0. Then move the decimal over 5 spaces, because there are 5 decimal spaces in total. Sorry if my explanation is a little confusing.

Hope that this helps!

Write the equation of the linear relationship in slope-intercept form.

Answers

Answer:

y = 1/3x + 70/3

Step-by-step explanation:

2 points on the graph:

(20, 30) and (50, 40)

Slope:

m=(y2-y1)/(x2-x1)

m=(40 - 30)/(50 - 20)

m= 10/30

m= 1/3

Slope-intercept:

y - y1 = m(x - x1)

y - 30 = 1/3(x - 20)

y - 30 = 1/3x - 20/3

y = 1/3x + 70/3

Rewrite 5ab showing the multiplication signs

Answers

Answer:

[tex]5ab = 5 \times a \times b[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

5a*b

1. How much salt and baking powder together is needed to make 36 cup cakes?

Answers

Answer:

too much salt will not bring taste to the cup cakes

Step-by-step explanation:

0.009 divided by 0.001

Answers

Answer:

9

Step-by-step explanation:

0.001 · 9 = 0.009

It’s 9 the answer is 9

PLEASEEEEEE PLEASEEEEEE HELPPPPPP IM BEGGING SOMEONE PLEASEEEEEEE I REALLY NEED HELPPPPPPPPPP​

Answers

Answer:

Step-by-step explanation:

4x-5+3x+5+40=180 degree(sum of interior angles of a triangle)

7x+40=180

7x=180-40

x=140/7

x=20

What is the radius in the eqution below? (x - 5) ^ 2 + (y + 3) ^ 2 = 49

Answers

Answer:

7.

Step-by-step explanation:

The equation of a circle is

(x - h)² + (y - k)² = r²

Where

(h, k) is the center and r is the radius, so we only need to work with r.

The expression states that

r² = 49 or the radius squared is equal to 49. So solve for r to find the radius.

r² = 49

Take the square root.

r = 7

The radius of the equation is 7.

I need a bit of help pls.

Answers

Answer:

#1. 150, #2. 650, #3. 2 PM to 4 PM #4. 8AM to 4PM (8 hours) #5. the frequency of weight in pounds #6. 22 cats

#7. 1 - 40 pounds #8. 11 - 20 pounds

What's the answer to this? I thought it was -138 apparently it's not? :(

Answers

The answer is 78 because if you substitute with the x=3 it changes the outcome of the answer:)

WILL GIVE U BRAINLEST!!
Angle A and B are a linear pair. If A = x + 70 and B = x + 50, what is the value of x? *

A.40
B.25
C.30
D.180

Answers

x = 30, (x+70)+(x+50)=180
2x+120=180
2x=60
x=30

Which answers describe the shape below

Answers

Answer:

B. parallelogram

Step-by-step explanation:

stay safe, stay healthy and blessed.

thank u

Answer:

a b c d e

Step-by-step explanation:

Can any one psay what is monmon meaning I think it's and alien ​

Answers

Answer:

Monmon is a Beast Digimon. It is a Digimon that has the appearance of an infant monkey. It has enough strength to wield a slingshot the size of its body with ease, and confidence in its abilities to prevent its prey from escaping. It often falls from treetops due to its careless personality. Its stylish traits are its tiger-printed outfit and its white-tipped tail

The equation $x + {y = 2 can be rewritten in a form that reveals the y-intercept of the graph of the equatior
Drag numbers to complete the equation that is equivalent to $x + žy = 2 and show the value of the y-intercept

Answers

Answer:

[tex]y = \frac{2}{z} - \frac{x}{z}[/tex]

Step-by-step explanation:

Given

[tex]x + zy = 2[/tex]

Required

Rewrite to show y-intercept

We have: [tex]x + zy = 2[/tex]

Subtract x from both sides

[tex]zy = 2-x[/tex]

Divide both sides by z

[tex]y = \frac{2}{z} - \frac{x}{z}[/tex]

The y intercet is: [tex]\frac{2}{z}[/tex]

I need help doing my homework ​

Answers

Answer:

A= πr^2

45=πr^2

45/1 =22/7×r^2

45/1=22r^2/7 cross multiply

22r^2 ×1=45×7

22r^2=315 divide both sides by 22

22r^2/22=315/22

r^2=14.318

if you found any words about mathematics, tell me please

Answers

Answer:

geometry

Step-by-step explanation:

left side of paper

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