A classmate writes the matrix at the right to represent a system and says that the solution is x=2, y=0. Explain your classmate's error and describe how to correct it.

Answer:

(8,-14)

Step-by-step explanation:

mid piont is (4,-5) So let us consider that S(x,y)

Now,

from mid point formula,

[tex]4 = \frac{x + 0}{2} \\ x = 8[/tex]

[tex] - 5 = \frac{y + 4}{2} \\ - 10 = y + 4 \\ y = - 10 - 4 \\ y = - 14[/tex]

The gymnasts average score is 9.07

The scores are given as

8.9, 9.2, 9.15, 9.03

The gymnasts average score is calculated using'

Average = Sum/Count

So, we have

Average = (8.9 + 9.2 + 9.15 + 9.03)/4

Evaluate

Average = 9.07

Hence, the gymnasts average score is 9.07

Read more about mean at

https://brainly.com/question/20118982

#SPJ1

Answer: use a picture math thing

Step-by-step explanation:0.0038 x 105=0.399 so move the decimal point over 1 then it should look like 0.038 x 10.5=0.399 then repeat.

P(AUB|C)=P(A|C) + P(B|C) - P(AnB|C) is the correct answer.

From distributive law we have,

P((AUB)nC)=P(AnC) + P(BnC)-P(AnBnC)

Dividing both sides by P(C)

P((AUB)nC)/P(C)=P(AnC)/P(C) + P(BnC)/P(C) - P(AnBnC)/P(C)

P(AUB|C)=P(A|C) + P(B|C) - P(AnB|C)

For more information on additive law click on the link below:

https://brainly.com/question/27791673

#SPJ4

Answer:

x = -1, y = 1

Step-by-step explanation:

Solve the following system:

{y = 3 x + 4 | (equation 1)

y = x + 2 | (equation 2)

Express the system in standard form:

{-(3 x) + y = 4 | (equation 1)

-x + y = 2 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{-(3 x) + y = 4 | (equation 1)

0 x + (2 y)/3 = 2/3 | (equation 2)

Multiply equation 2 by 3/2:

{-(3 x) + y = 4 | (equation 1)

0 x + y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{-(3 x) + 0 y = 3 | (equation 1)

0 x + y = 1 | (equation 2)

Divide equation 1 by -3:

{x + 0 y = -1 | (equation 1)

0 x + y = 1 | (equation 2)

Collect results:

Answer: {x = -1, y = 1

Answer:

1.33

Step-by-step explanation:

14÷10 1/2= 1.33

Answer:

-3/2

Step-by-step explanation:

Slope:

Rise: The difference between the y -coordinates of the two points is called the rise.

Run: The difference between the x-coordinates of the same two points is called the run.

First plot two points on the line.

(0, 6 )  and (4 , 0)

Rise = 6 - 0 = 6

Run = 0 - 4 = -4

[tex]\sf \boxed{Slope = \dfrac{Rise}{Run}}[/tex]

          [tex]\sf =\dfrac{6}{-4}\\\\=\dfrac{-3}{2}[/tex]

Answer:

16.8

Step-by-step explanation:

84 / 5 = 16.8

Answer:

17 points(Rough estimate)

Step-by-step explanation:

Using long division,

[tex]5|84\\5 \times 1 = 5\\8 - 5 = 3\\\mathrm{Drop~4~onto~3~to~get~34}\\5 \times 6 = 30\\34 - 30 = 4[/tex]

Round 16 to nearest ones place

[tex]\mathrm 16 = 17[/tex]

Therefore,

You scored ≈ 17 points per game out of 5 games.

if you need the exact value, it's 16.8

Any concerns, let me know. Have a good day!

Answer:

Step-by-step explanation:

Midpoint coordinates(x, y)  of 2 points (x1, y1) and (x2, y2) are given by
x = (x1 + x2)/2

y = (y1 + y2)/2

So in this situation

x = (8 + 0)/2 = 8/2 = 4

y = (10 + 5)/2 = 15/2 = 7.5

Midpoint is at (4, 7.5)

Check the graph attached

The expression is completely simplified to give 13√7

Surds are defined as square root values that cannot be further decreases to integers or whole numbers.

Another name for surds are irrational numbers.

Given the surd forms;

5√28 + √63

Now, let's find the factors of the value 28 with perfect squares.

√28 = √4 × 7

The factors of 63 with perfect squares

√63 = √9 × 7

Now, let's substitute the values

5√4 × 7 + √9 × 7

Find the perfect squares

5 × 2√7 + 3√7

Multiply through

10√7 + 3√7

Since the values have common roots, add the coefficient and keep the root the same.

We have;

13√7

Thus, the expression is completely simplified to give 13√7

Learn more about surds here:

https://brainly.com/question/840021

#SPJ1

Going by the stemplot, a correct comparison to make between eastern and western states’ expenditures is The eastern states have, on average, a higher per-pupil expenditure than the western states.

Reading a stemplot requires looking at the stem first which is the number in the middle. Then combine this with the leaf to find the actual number. For instance, a stem of 7 and a leaf of 6 in the attached photo is $76,000.

From the attached photo, we see that the Eastern states have more numbers of per-pupil expenditure which means that on average, they have a higher per-pupil expenditure than the western states.

Options for this question are:

Find out more on stemplots at https://brainly.com/question/22400218

#SPJ1

Answer:

Simplify

x

=

35.99

dollar

11.33

dollar

.

x

=

3.1765225

Step-by-step explanation:

Answer:

Step-by-step explanation:

If 8 panes cost 1880

then 1 pane cost 1880 divided by 8

1 pane = $ 235

3 pane = $235 x 3

            = $ 705

$1715 + $705 = $ 2420

Using simultaneous equations in two variables we get that the cost of laminate is $ 0.65 per sq. feet and the cost of carpet is $ 4.12 per sq. feet.

Equations in algebra that involve two or more variables simultaneously, such as x and y, are referred to as simultaneous equations. The equations are referred to as simultaneous equations since they are solved simultaneously. There are countless possible solutions to just these equations.

A set of finite equations for which common solutions are sought makes up a system of equations, often known as an equation system.

Let the cost per sq feet of laminate be x and the cost per sq feet of carpet be y.

Now it is given that the cost of 750 sq feet of laminate and 525 square foot of carpet is $2717.25

∴ 750x+525y=2717.25

Again  the cost of 100 sq feet of laminate and 75 square foot of carpet is $374.75

∴ 100x + 75 y = 374.15

Now we solve the pair of simultaneous equations to find the value of x and y:

Multiplying the second equation by 7 and subtracting from the first we get:

750x + 525y =  2717.25

600x + 575 y = 2619.05

150x = 98.20

or, x = 0.654...

Substituting this  value in the first equation we get:

y= 4.115...

Therefore the solution of the simultaneous equation is:

x = $ 0.65 and y = $ 4.12

Therefore  the cost of laminate is $ 0.65 per sq. feet and the cost of carpet is $ 4.12 per sq. feet.

To learn more about simultaneous equations visit:

https://brainly.com/question/16763389

#SPJ1

Answer:

152 =x

Step-by-step explanation:

180 - 152= 28

180-28= 152

The solutions are;

1. U = {a, d, e, i, l, n, o, p, y}

2. E ∪ I = {a, d, e, i, l, n, o, p, y}

3. E ∩ I = { }

4. J' = {a, d, e, l}

5. I ∪ J = {p, i, n, a, o, y}

6.( J ∩ I ) ∪ E = {d, o, l, e, p, i, n, y}

7. E' = {a, i, n, p, y}

8. I' ∪ J = {d, e, l, o, p, i, n, y}

9. (E ∩ I) ∩ (I ∪ J) = { }

10. (J ∪ I)' = {d, e, l}

What is Union of the set?

Union of two or more set is the set containing all the elements of the given set.

Here, U is the universal set, which is the set of all elements of the three given sets.

And, Three sets are;

⇒ E = {d, o, I, e},     I = {p, i, n, a, y},     J = {p, i, n, o, y}

Now, We find the universal set as;

1. U = {{a, d, e, i, l, n, o, p, y}

2. And, E ∪ I =  {d, o, I, e} ∪ {p, i, n, a, y}

                = {a, d, e, i, l, n, o, p, y}

Hence, E ∪ I = {a, d, e, i, l, n, o, p, y}

3.  E ∩ I =  {d, o, I, e} ∩ {p, i, n, a, y}

Since, It cannot contain any common elements.

So, Intersection of E and I is null set.

Hence, E ∩ I = { }

4. Since, J' = U - J

J' = {a, d, e, i, l, n, o, p, y} - {p, i, n, o, y}

J' = {a, d, e, l}

Hence, J' = {a, d, e, l}

5. I ∪ J = {p, i, n, a, y} ∪ {p, i, n, o, y}

           = {p, i, n, a, o, y}

Hence,  I ∪ J = {p, i, n, a, o, y}

6. ( J ∩ I ) ∪ E = ({p, i, n, o, y} ∩ {p, i, n, a, y}) ∪ {d, o, I, e}

                     = {p, i, n, y} ∪ {d, o, I, e}

                     = {d, o, l, e, p, i, n, y}

Hence, ( J ∩ I ) ∪ E = {d, o, l, e, p, i, n, y}

7.  E' = U - E

       = {a, d, e, i, l, n, o, p, y} - {d, o, I, e}

       = {a, i, n, p, y}

Hence, E' = {a, i, n, p, y}

8.  I' ∪ J = (U - I) ∪ J

            = ( {a, d, e, i, l, n, o, p, y} - {p, i, n, a, y}) ∪ {p, i, n, o, y}

            = {d, e, l, o} ∪ {p, i, n, o, y}

            =  {d, e, l, o, p, i, n, y}

Hence, I' ∪ J = {d, e, l, o, p, i, n, y}

9. (E ∩ I) ∩ (I ∪ J) = ( {d, o, I, e} ∩ {p, i, n, a, y}) ∩ ({p, i, n, a, y} ∪ {p, i, n, o, y})

                          = { } ∩ {p, i, n, a, o, y}

                          = { }

Hence,  (E ∩ I) ∩ (I ∪ J) = { }

10. (J ∪ I)' = U - (J ∪ I)

              = {a, d, e, i, l, n, o, p, y} - ({p, i, n, a, y} ∪ {p, i, n, o, y})

              = {a, d, e, i, l, n, o, p, y} - {p, i, n, a, o, y}

              =  {d, e, l}

Hence,  (J ∪ I)' = {d, e, l}

So, The solutions are;

1. U = {a, d, e, i, l, n, o, p, y}

2. E ∪ I = {a, d, e, i, l, n, o, p, y}

3. E ∩ I = { }

4. J' = {a, d, e, l}

5. I ∪ J = {p, i, n, a, o, y}

6.( J ∩ I ) ∪ E = {d, o, l, e, p, i, n, y}

7. E' = {a, i, n, p, y}

8. I' ∪ J = {d, e, l, o, p, i, n, y}

9. (E ∩ I) ∩ (I ∪ J) = { }

10. (J ∪ I)' = {d, e, l}

Learn more about the union of set visit:

https://brainly.com/question/1441698

#SPJ1

Answer: $239.74 :)

Step-by-step explanation:231.75 for Karen, mom, and dad's rafting, plus 7.99 for the water bottle=239.74 USD

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

                             ( -∞ , ∞ )

Set-Builder Notation:

                                  { x | x ∈ R }

The range is the set of all valid  y  values. Use the graph to find the range.

Interval Notation:

                               ( -∞ , ∞ )

Set-Builder Notation:

                                 { y | y ∈ R }

Determine the domain and range.

Domain:  ( −∞ , ∞ ), { x | x ∈ R }

Range:  ( −∞ , ∞ ), { y | y ∈ R }

Learn more about event correlation here: brainly.com/question/24457122

#SPJ9

The required measure for the supplementary angles EB is calculated as 126°.

Given that,
Two supplementary angles are given ZA and ZB.
ZA = 2x - 20 ; ZB = 3x + 15

To determine the measure of ZB.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The sum of the supplementary angle is 180°.
ZA + ZB = 180°
2x - 20 + 3x + 15 = 180
5x - 5 = 180
5x = 180 + 5
5x = 185
x = 37
Now,
the measure of angle,
ZB = 3x + 15
ZB = 3 * 37 + 15
ZB = 126°

Thus, the required measure of the angle EB is 126°.

Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1

Answer:

Step-by-step explanation:

5

2

−9x−10

Calculate 5 to the power of 2 and get 25.

25−9x−10

1

Calculate 10 to the power of 1 and get 10.

25−9x−10

Subtract 10 from 25 to get 15.

15−9x

The scatter plot is shown in attached images and the line of best fit for the data set is y=1.9821x+2.1937.

The given data set is (0,2),(1,4),(2,6.5),(3,8.5),(4,10),(5,12),(6,14).

Plot the points on a coordinate plane.

Calculate the means of the x -values and the y -values.

[tex]\begin{aligned}\bar{X}&=\frac{0+1+2+3+4+5+6}{7}\\ &=\frac{21}{7} \text{ or } 3\\ \bar{Y}&=\frac{2+4+6.5+8.5+10+12+14}{7}\\ &=\frac{57}{7}\text{ or }8.14\end[/tex]

Now, we will calculate the [tex]\sum_{i=1}^{n}(x_{i}-\bar{X})(y_{i}-\bar{Y})[/tex] and [tex]\sum_{i=1}^{n}(x_{i}-\bar{X})^{2}[/tex], we get

[tex]\sum_{i=1}^{n}(x_{i}-\bar{X})^{2}=28[/tex]

and [tex]\sum_{i=1}^{n}(x_{i}-\bar{X})(y_{i}-\bar{Y})=55.5[/tex]

Calculate the slope.

[tex]\begin{aligned}m&=\frac{\sum_{i=1}^{n}(x_{i}-\bar{X})(y_{i}-\bar{Y})}{\sum_{i=1}^{n}(x_{i}-\bar{X})}\\ &=\frac{55.5}{28}\\ &=1.9821\end[/tex]

Calculate the y -intercept.

Use the formula to compute the y -intercept.

[tex]\begin{aligned}b&=\bar{Y}-m\bar{X}\\ &=8.14-(1.9821\times3)\\ &=8.14-5.9463\\ &=2.1937\end[/tex]

Use the slope and y -intercept to form the equation of the line of best fit.

The slope of the line is 1.9821 and the y -intercept is 2.1937 .

Therefore, the equation is y=1.9821x+2.1937 .

Draw the line on the scatter plot.

Hence, the scatter plot is shown in attached image and the line of best fit for given data set (0,2),(1,4),(2,6.5),(3,8.5),(4,10),(5,12),(6,14) is y=1.9821x+2.1937.

Learn more about the scatter plot from here brainly.com/question/27841050

#SPJ4

Answer:

Step-by-step explanation:

The range of the function is the set of all y- values.

The range on the graph can be determined by minimum and maximum points if the graph is continuous.

Looking at the given graph we observe:

The range is:

The growth factor for the annual rate of change +0.1 % is 1.001.

A quantity must vary by a specific percentage each time period in order for growth or decay to be exponential.

With the function displayed to the right, you may represent exponential growth or decay.

A(x) = a( 1 + r)ˣ

Where A is the amount after x time periods, a is the initial amount, x is the number of time periods, and r is the rate of change.

Now, we have the annual rate of change as:

r = + 0.1% = + 0.1 / 100 = + 0.001

From the function A(x) = a( 1 + r)ˣ , the corresponding factor is 1 + r.

So, let B = 1 + r

B = 1 + r

B = 1 + (+0.001)

B = 1.001

Now, the value of B is greater than 1 therefore, the corresponding growth factor is 1.001.

Learn more about growth and decay factor here:

https://brainly.com/question/16702201

#SPJ4

Answer:

w=5

Step-by-step explanation:

3(w-2)=9

3w-6=9

w=5

Answer:

w = 5

Step-by-step explanation:

The equation is 3(w - 2) = 9
1st : Distribute 3 to w and -2
    Should equal 3w and -6
2nd : Add 6 on both sides
    Should equal 3w = 15
3rd : Divide 3 on both sides
    Should equal w = 5

Hope this helps!
--Blu

Answer: 19

Step-by-step explanation:

answer: 7,602

explanation: 2×3×7×181

Answer:7602

Step-by-step explanation:First line up the numbers vertically and match the places from the right like this.

181

942

* ​____

​

Now multiply the first number with the 1 st  digit in 2 nd

 number to get intermediate results. That is Multiply 181 with 2. Write the result 362 at the end leaving 0 spaces to the right like this.

181

42

*​_____

362

​

Now multiply the first number with the 2nd digit in 2nd

 number to get intermediate results. That is Multiply 181 with 4. Write the result 724 at the end leaving 1 spaces to the right like this.

181

42

*______

362

724

​______-

Now add the intermediate results to get final answer.

181

42

*_____

362

724

______

​7602

​

Area of the floor of the bandstand in regular octagon is  1931.2 ft²

dimensions of a square bandstand with the same area as the octagon is 43.94 ft

square bandstand has largest perimeter.

floor has the shape of a regular octagon

Area of a regular octagon = 2a²(1+[tex]\sqrt{2}[/tex])

a = length of the side of the octagon

here a = 20 ft

Area = 2a²(1+[tex]\sqrt{2}[/tex]) = 2(20)(20)(1+[tex]\sqrt{2}[/tex])

                           = 800(1+1.414)

                           = 800(2.414)

                           = 1931.2 ft²

square bandstand with the same area as the octagon

Area of square = b²

b = length of the side of the square

1931.2 = b²

b = 43.94 ft

Perimeter of regular octagon = 8a

                                                = 8(20)

                                                = 160ft

Perimeter of Square = 4b

                                  = 4(43.94)

                                  = 175.78ft

area of the floor of the bandstand in regular octagon is  1931.2 ft²

dimensions of a square bandstand with the same area as the octagon is 43.94 ft

square bandstand has largest perimeter.

To learn more about perimeter visit ,https://brainly.com/question/16922713

#SPJ9

The values for f(x)-2 g(x) = -2x² + 8x - 1

Given :  f(x)=2 x+5

            g(x)=x²-3 x+2

Solution:

            2g(x)=2x²-6x+4

            f(x)-2 g(x) = 2 x+5 - (2x²-6x+4)

            f(x)-2 g(x) = 2 x+5 - 2x² + 6x - 4

            f(x)-2 g(x) = -2x² + 8x - 1

To learn more about the domain, visit;

https://brainly.com/question/956872

#SPJ4