What is the solution for the system of equations?

y=−x+4y=x−2
Question 1 options:

(1, 3)

(−2, 1)

(3, 1)

(1, −2)

Answer:

[tex]x = \frac{-8 +\sqrt{190} }{2}[/tex] or x = 5.7840

Step-by-step explanation:

All the angles of a triangle add up to 180°, so we can solve this using the following equation:

180 = (x^2 + 34) + (6x + 4) + (10x + 10)

180 = x^2 + 34 + 6x + 4 + 10x + 10

Now, let's combine like terms:

180 = x^2 + (6x + 10x) + (34 + 4 + 10)

180 = x^2 + 16x + 54

Subtract 180 from both sides:

0 = x^2 + 16x - 126

And solve using the quadratic formula:

[tex]x = \frac{-b +\sqrt{b^{2}-4ac } }{2a}\\x = \frac{-16 +\sqrt{16^{2}-4(1)(-126) } }{2(1)}\\x = \frac{-16 +\sqrt{256+504 } }{2}\\x = \frac{-16 +\sqrt{760} }{2}\\x = \frac{-16 +2\sqrt{190} }{2}\\\\x = \frac{-8 +\sqrt{190} }{2}\\[/tex]

And we can approximate this as a decimal, if needed:

x = 5.7840

Answer:

60 goldfish

because there is a ratio of 2 gold fish to 3 Betta fish you can cross multiply with 2/5 and x/150 to find the number of goldfish. you can also check the answer because 60 goldfish would leave 90 Betta fish. the ratio of 60:90 can be simplified to a ratio of 2:3

Answer:

SAS

Step-by-step explanation:

We must prove that triangles ABC and EDC are congruent.

Since BD bisects AE, then AC is congruent with CE.

Since AE bisects BD, then BC is congruent with CD

Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.

Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.

Answer: SAS

Answer:

400

Step-by-step explanation:

98.46 = 100

8 is closer to 10 than 0

4.11 = 4

1 is closer to 0 than 10

100 x 4 = 400

Answer:

10x greater

Step-by-step explanation:

Two friends let’s say their names are

Molly                         Polly

130 points                  83 points

Molly‘s 3 in her 130 is is the tens place  

here a chart:     ones    Tens.        Hundreds.     thousands.  

                         1265      1265.         1265.              1265

now let’s go back to Molly and Polly. The 3 in 130 is one place above the 3 in 83 and this ,my friend, technically means it is only 10x greater

hope this helped :3

:3 byeeeeeeeeee

Answer: Both B and C

B. It will probably be easier to weigh heavy slabs that are stacked together rather than pulling out some slabs from different stacks.

C. Each stack has a variety of slabs, so choosing all of the slabs in some of the stacks should represent the population fairly well.

Step-by-step explanation:

B. By weighing entire stacks, the manager would only need to retrieve, weigh, and return about 101010 units. By weighing fewer slabs per stack, there are many more steps in the process and it is more complicated to track where to return the weighed slabs.

C. If each stack reflects the variety in the population, then choosing the stacks as clusters is a good way to get a sample that looks like the population.

Answer:

1:10

Step-by-step explanation:

So 1 meter is equal to 100 centimeters, so when only asking for 10cm, it is 1/10th of the whole of a meter, so the ratio is 1:10

A;nswer:

10:1

Step-by-step explanation: meter is a hundred centimeters so,

100:10

simplify

10:1

Answer:

60 penguins

Step-by-step explanation:

We need to find out how many times 9, the number of polar bears for every 20 penguins, was multiplied by, so that we can multiply 20 penguins by the same amount.

27/9 = 3

20*3 = 60

Answer: 60

Step-by-step explanation:

The ratio is 20:9. If you times both sides by 3, you will get 60:27, which means 60 penguins per 27 polar bears.

Answer:

its x: x< -3

Step-by-step explanation:

ya

Answer:

-8,-6,-3,7,9,10

Answer:

The band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.

Step-by-step explanation:

i just did that question like 3 mins ago lol

Answer:

6 pounds of coffee

Step-by-step explanation:

Given Teresa's $90 gift card for a coffee store, and a balance of $38.46 on her card:

Subtract the remaining balance of $38.46 from the $90 original balance on Teresa's card, to determine how much she spent on coffee.

$90.00 - $38.46 = $51.54

Next, divide the amount that she spent at the coffee store by the $8.59 cost per pound to find out how many pounds of coffee she purchased from the store:

$51.54 ÷  $8.59 per pound = 6 pounds

Therefore, she bought 6 pounds of coffee worth $51.54 from the store.

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Let's consider the points (0 , -1) and (1 , 2) to find the slope of given line ~

I hope it helps ~

Answer:

After looking at the image you posted, I deduced that the correct answer should be slope= 3.

Step-by-step explanation:

I came to this conculsion by using the formule slope= [tex]\frac{rise}{run}[/tex] or [tex]\frac{y-axis}{x-axis}[/tex]

Firstly:

I identified the position of the two points. The first points position being (-1, 0) and the second being (1, 2).

Secondly:

I then found the difference between the two points on the graph to be

(1,3) or (x=1, y=3).

Thus:

The [tex]\frac{rise}{run}[/tex] of the two points is [tex]\frac{y=3}{x=1}[/tex] or 3.

Answer:

donald trump

Step-by-step explanation:

Answer:

The answer is 60%

Step-by-step explanation:

To solve that, just divide 24 by 40

24 ÷ 40 = 0.6

Now turn 0.6 to fraction.

0.6 = 60%

-15 i pretty positive it is that

Have a good day

I hope this helps stay positive get it negative positive

Answer:

254 in the first blank

Step-by-step explanation:

There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.

Given that

There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.

There are actually 254 counties.

The amount of error in Pedro's estimate is 4.

Now we need to find percent error in Pedro's estimate.

4/254×100

=0.0157×100

=1.574%

Hence There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%

To learn more on Percentage click:

#SPJ5

Answer:

$83 million

Step-by-step explanation:

29% of the charity's donated funds.

$24.1 million = donation

Let x = the total amount of donated funds

29/100 • x = 24.1

x = 24.1 • 100/29

x = 83.10

=83

Hope this helps :)

Answer:

Its a cubic number formula

Step-by-step explanation:

1, 8, 27, 64, 125, 216, 343

Answer:

114.0g/538.5cm^3=0.2117 glcm^3

Step-by-step explanation:

3/4

a double negative equals a positive

Answer:

3/4 is your answer

Step-by-step explanation:

Answer:

3:10

Step-by-step explanation:

Disposal time=1:15PM

Choir ending time:-

[tex]\\ \sf\longmapsto 1:15-0:40=12:35PM[/tex]

The required class widths are 3, 8, 13, 18, 23 and 28

Given the frequency distribution that summarizes employee years of service for Alpha Corporation as shown below:

[tex]1-5 \ | \ 6-10\ | 11-15 \ | \ 16-20 \ | 21-25 \ | 26 - 30\ \\ 0\ \ \ \ \ \ \ \ 20 \ \ \ \ \ \ \ \ 25 \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ \ \ \ 5[/tex]

The width of each class is calculated by taking the midpoints of each of the class intervals as shown:

For the class interval 1  - 5

width  = 1+5/2 = 3

For the class interval 1  - 5

width  = 6+10/2 = 8

For the class interval 11  - 15

width  = 11+15/2 = 13

For the class interval 16  - 20

width  = 16+20/2 = 18

For the class interval 21  - 25

width  = 21+25/2 = 23

For the class interval 26  - 30

width  = 26+30/2 = 28

Hence the required class widths are 3, 8, 13, 18, 23 and 28

Learn more on class width here: https://brainly.com/question/24326240

Answer:

  (d)  extrapolation, because a key that is 12 keys from middle C is outside the data set

Step-by-step explanation:

Any prediction made outside the data set is called "extrapolation." The key 12-keys out is outside the domain 0–8 of the data set.

Answer:

(d)  extrapolation, because a key that is 12 keys from middle C is outside the data set

Step-by-step explanation:

edg 2022

135000002.613! At least I think!

Answer:

43/8 or 5 and 3/8

Step-by-step explanation:

This is because if you find the lcd, its 24. 36/6, or 6, in 24 is 144/24.

5/8 is 15/24.

144/24-15/24 is 129/144, which simplified is 43/8, or 5 and 3/8

Answer:

Step-by-step explanation: I think it is three percent

Answer: 15%

i attached a picture below with an explanation

Answer:

whats the question

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

bet

Answer:

5 years

Step-by-step explanation: