Solve the system by finding the determinants and using Cramer's Rule:
2x - y = 4
3x + y = 1

Answers

Answer 1

Answer:

(1, - 2)

Step-by-step explanation:

2x - y = 4

3x + y = 1

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

[tex]A_{x}[/tex] = [tex]\left[\begin{array}{cc}4&-1\\1&1\end{array}\right][/tex] = 4(1) - 1(- 1) = 4 + 1 = 5

[tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}2&4\\3&1\end{array}\right][/tex] = 2(1) - 4(3) = 2 - 12 = - 10

x = [tex]\frac{A_{x} }{A}[/tex] = 1

y = [tex]\frac{A_{y} }{A}[/tex] = - 2

(1, - 2)


Related Questions

What is the standard form of this number?

(8 × 0.1) + (5 × 0.01) + (1 × 0.001) =

Answers

Answer:

0.851

Step-by-step explanation:

For Carly's birthday celebration her family took her out to eat at her favorite restaurant. The total bill was $135.
Her dad wants to leave an 18% tip.
How much money is the tip?
$

Answers

I think the answer is 24.30
It would be 24.30. To get the answer, do 135 * 0.18 to get 18 percent of the 135. :)

A company order two types of games, board and electronic. A shipment
containing 4 board games and 5 electronic games costs $103. A second
shipment containing 5 board games and 3 electronic games costs $80. Find the
cost of the board games and the cost of the electronic games.

Answers

Answer:

C

Step-by-step explanation:

i lied :)

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Multiply and simplify the product. (3 – 5i)(–2 + 4i) Select the product.

Answers

Answer:

-20i^2 + 22i - 6

Step-by-step explanation:

(3 - 5i)(-2 + 4i) = -6 + 10i + 12i - 20i^2 = -20i^2 + 22i - 6

if you want to go further,

-20i^2 + 22i - 6 = -2(10i^2 - 11i + 3)

Answer:

14+22i

Step-by-step explanation:

Edge Verified

solve equation for Y. 23=5x-2y

Answers

Answer:

y=5/2x-23/2 or y=2.5x-11.5

Step-by-step explanation:

First, add 2y to move it to the other side of the equation. This should give you 2y+23=5x. Now, subtract 23, giving you 2y=5x-23. Divide the whole equation by 2 so that y will be by itself. Written in fraction form, it would be: y=5/2x-23/2. Written in decimal form: y=2.5x-11.5.

What is the slope of the line that passes through the points (3,5) and (4,8)?

Answers

Answer:

1,3

Step-by-step explanation:

6 / 3/5 ITS FOR A 20 PIONT

Answers

Answer:

10

Step-by-step explanation:

I'm guessing you meant this, but tell me if I'm wrong and I'll fix it

6 / (3/5)

6 * 5/3

30/3

=10

Hope it helped!

Answer:

thanks

Step-by-step explanation:

You are competing in a race. The table shows the times from last year's race. You want your time to be last year's median time with an absolute deviation of at most 4 minutes. Complete the inequality to represent the time (in minutes) you hope to achieve.

Answers

Answer:28 ≤ x ≤40

Step-by-step explanation:Arrange the data from the smallest to the largest

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Identify the median value

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Getting the median

(33+35)/2 = 68/2 = 34 minutes

You want your time to be last year's median time with an absolute deviation of at most 6 minutes

This mean ±6 minutes, hence this will be 34 ± 6

34+6=40 and 34-6=28

The inequality will be 28 ≤ x ≤40

a cyclist travels 14 hours in per hour. what is the cyclists speed in feet/ minute. 1 mile= 5280 feet

Answers

Answer:

1,232 ft/min (feet per minute)

Step-by-step explanation:

14 miles = 73,920 feet

1 hour = 60 minutes

73, 920 / 60 = 1,232 feet/minute

Grant walks 2 miles everyday. Which could not be the number of miles that Grant has walked after some number of days? Circle the letter of the correct answer.

Answers

He walk 4 miles a day

helppppp please I will give brainliest​

Answers

Answer:

y=3/4x

Step-by-step explanation:

what is the answer to 2/3 - 4/6

Answers

Answer:

0

Step-by-step explanation:

2/3*2/2=4/6. 4/6-4/6=0

Solve the problem. Sven can type 57 words per minute. How many words would he type in hour (40 minutes)? 2280 words 86 words 38 words 1520 words

Answers

Answer:

Sven would type 2280 words every 40 minutes.

Step-by-step explanation:

Multiply 57 by 40 and that should get you 2280.

Now, if it was truly an hour, you would multiply 57 by 60. The answer should be 3420.


What is the slope of the line that passes through the points (-8, 6) and (-5, -3)

Answers

Answer: slope is -3

Step-by-step explanation:

Simple, plain, easy

how many 1/4 cup servings are there in 3/8 cup peanut butter?

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

1.5 i think

Step-by-step explanation:

1/4:2/8 so it would be 1/4 and 1/8 or 1.5

What is the answer for 2/5x5/8 ?

Answers

It would be 1/4 because you would change them to a common denominator then simply them and you get 1/4

4n-(7-6n)


Helppp plz

Answers

4n - (7-6n)
4n -7 +6n (multiply minus to 7-6n)
10n -7 is the answer

Need help on question 1,2 please please help please please help me please will mark the brainiest it’s due today please please help

Answers

For the top on you just multiple

Answers:

1. 750

2. 750 + 5*20 = 850

Paul opened a bakery. The net value of the bakery
(in thousands of dollars) t months after its creation is
modeled by
v(t) = 24
12t - 14
Paul wants to know what his bakery's lowest net
value will be
Rewrite the function in a different form
(factored or vertex) where the answer appears
as a number in the equation.

Answers

Answer: v(t)= 2(t-3)^2-32

-32 thousand dollars

Step-by-step explanation:

Did the quiz

Answer:

the first one is correct

Step-by-step explanation:

Can someone help me with this

Answers

Answer:

1. isosceles 2. Scalene 3. Equilateral 4. Equilateral

Step-by-step explanation:

I need some help please

my answer is the one below but I'm not sure pls give work

Answers

C is the right answer

Jose D is looking for a skateboard. He sees one that costs $148. The owner is offering him a 20% discount.. What is the price of the skateboard after the discount and a 7% sales tax?

Answers

Answer:

110.112

Step-by-step explanation:

The actual distance between two cities is 2250 miles. The distance between the two cities on a map is 15 inches. What is the scale of the map?

Answers

Answer: It should be 1 in. : 150 mi.

Answer:150

Step-by-step explanation:

a year later

Write each of the following numbers as a power with an exponent to the base 2:16

Answers

Given:

The number is 16.

To find:

The given number as a power with an exponent to the base 2.

Solution:

First write the given number as the product of the prime factors.

The factor form of 16 is

[tex]16=2\times 2\times 2\times 2[/tex]

[tex]16=2^4[/tex]

Therefore, the given number 16 as a power with an exponent to the base 2 is [tex]2^4[/tex].

Answer:

2^4

Step-by-step explanation:

The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to
pay for the sweater during the sale if the customer paid with
the store's credit card? Round your answer to the nearest
cent.
Enter the answer

Answers

24 x 0.75 = 18
18 x 0.85 = 15.3
Answer: Someone with the store's credit card would need to pay $15.30

Glen got 48 out of 64 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.

Answers

Answer:

He got 16 incorrect

Step-by-step explanation:

Answer:

fraction: 3/4

percent: 75%

Step-by-step explanation:

In a recent year, grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.



A random sample of 60 students is drawn from this population. What is the probability that the mean test score is greater than 290? Leave answers in decimal form, not percentages. Round to the nearest Hundredth (two decimal places).

Answers

Answer:

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = 0.0217

Step-by-step explanation:

Step(i):-

Mean of the Population (μ) = 281

Standard deviation of the Population = 34.4

Let 'X' be a random variable in Normal distribution

Given X = 290

[tex]Z = \frac{x -mean}{\frac{S.D}{\sqrt{n} } } = \frac{290-281}{4.44} = 2.027[/tex]

Step(ii):-

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = P( Z > 2.027)

                    = 0.5 - A ( 2.027)

                   = 0.5 - 0.4783

                   = 0.0217

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = 0.0217

A rose bush was 2 feet tall when Candace planted it. The rose bush
grew 1 (1/4) feet per year. The rose bush is now 8 (1/4) feet tall.

Answers

Answer:

5 years

Step-by-step explanation:

Alr. The equation is:

x= how long the rose bush took to grow

8 1/4=2+1 1/4x

6 1/4=1 1/4x

5=x

Identify the equation in slope-intercept form for the line with the given slope that contains the given point.

Slope =3/4; (2,2)

Answers

y=3/4x+1/2

Use the equation y=mx+b and plug in the coordinates and the slope into the equation.

2=3/4(2)+b

You need to find the b (y-intercept).

2=3/2+b
1/2=b

Now that you know the slope and the y-intercept the equation is y=3/4x+1/2

All of the following ordered pairs satisfy the function rule y = -2 x - 1 except _____.

(2, -5)
(-1, -3)
(-2, 3)
(0, -1)

Answers

Answer:

(-1, -3)

Step-by-step explanation:

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