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3 years ago

Solving system of equations by graphing y=-x+3 and y=2x-6

Mathematics

1 answer:

tatuchka [14]3 years ago

4 0

See the attached for a graph and the solution: (x, y) = (3, 0).

_____

With the availability and simplicity of the Desmos on-line graphing calculator, this is my favorite method of solving systems of equations.

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20 POINTS AND BRAINLIEST!

Advocard [28]

Answer:

<A =21

<B = 84

<c = 75

Step-by-step explanation:

<A =x

<B = 4x

<C =5x-30

The sum of A+B+C = 180

x+ 4x + 5x-30 = 180

Combine like terms

10x -30 = 180

Add 30 to each side

10x-30+30 = 180+30

10x = 210

Divide by 10

10x/10 = 210/10

x= 21

Since x =21 we can find the value of the angles

Substituting x into the equations for angles A, B and C

<A =21

<B = 4x = 4*21 = 84

<C = 5x-30 = 5*21-30 = 105-30 = 75

7 0

2 years ago

Read 2 more answers

Find an equivalent fractions for each given fraction 60/12

evablogger [386]

Very easy to do this.

60/12 is your fraction.

Multiply numerator and denominator by the same number.

60*2/12*2 = 120/24

120/24 = 5

You can also simplify.

60/12 = 5

12/12 = 1

5/1 = 5

60/12 = 5

8 0

3 years ago

Read 2 more answers

John is paid 5% commission on the value of photocopiers he sells. Last week he sold $24,000 worth of copiers. He decided to inve

allsm [11]

Answer:

5040

Step-by-step explanation:

24000-5%=1200

1200+5%=1260

1260x4=5040

3 0

3 years ago

Jett has to sell carnival tickets worth at least $50. The price of a child ticket is $4, and the price of an adult ticket is $6.

Tpy6a [65]

Answer: 4x + 6y >/ 50

Step-by-step explanation:

The answer is A. 4x + 6y is greater than or equal to 50

7 0

3 years ago

2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati

Ket [755]

Answer:

$\sigma = 11.28$ --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

<u>Start by calculating the mean</u>

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

$\bar x = \frac{\sum fx}{\sum f}$

So, we have:

$\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}$

$\bar x = \frac{7531}{91}$

$\bar x = 82.76$

Next, calculate the variance using the following formula:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}$

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

$\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}$

$\sigma^2 = \frac{11580.6816}{91}$

$\sigma^2 = 127.26$

Lastly, take the square root of the variance to get the standard deviation

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{127.26}$

$\sigma = 11.28$ --- approximated

<em>Hence, the standard deviation is approximately 11.28</em>

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

8 0

2 years ago