Choose the correct graph of the given system of equations. (2 points)

y − 2x = −1
x + 3y = 4

a
graph of two lines, one with a positive slope and one with a negative slope, that intersect at the point negative 1, 1

b
graph of two lines that intersect at the point 1, 1

c
graph of two parallel lines with positive slopes

d
None of the above

Answer:

lines that will never touch

Step-by-step explanation:

these are lines that you could keep drawing and they will never cross or touch

55%green25%yellow20%red

Answer:

124°

Step-by-step explanation:

measure of arc DC = 44 because the measure of central angle equals the measure of its arc.

measure of arc CB = 80 because the measure of central angle equals the measure of its arc.

measure of arc DC = measure of arc DC + measure of arc CB

                                = 44 + 80 = 124°

Answer:

24, 12, 10, 15, 10, 22, 12

mean:  7

median: 12

mode:  12

Range: 14

Step-by-step explanation:

Answer: Mean=15, Median=12, Mode=10 and 12, Range=14

Step-by-step explanation:

Data:

Numbers: 10, 10, 12, 12, 15, 22, 24

Mean: x, Median: x, Mode: x, Range: x

Step One, Find the Mean by adding all of the numbers and dividing them by the number of numbers

10+10+12+12+15+22+24=105/7=15

Mean=15

Reason: By adding all of the numbers together and dividing them by the number of numbers, you can find the mean because that is the method on finding the mean.

Step Two, Find the Median(middle) by finding the number in the middle

10, 10, 12, 12, 15, 22, 24

Median=12

Reason: Since the median is the number in the middle, 12 would be the median since it is the number in the middle of the array of numbers.

Step Three, Find the mode by finding the number that show up the most

10, 10, 12, 12, 15, 22, 24

Mode=10 and 12

Reason: Since mode is finding the number that shows up the most, 10 and 12 would be the answer for that reason and that they show up the same number of times in the array of numbers.

Step Four, Find the range by subtracting the biggest number by the smallest

24-10=14

Reason: Since to find the range you have to subtract the biggest number(24) by the smallest(10) the answer has to be 14 because that us the answer to 24-10.

I hope this helps!

Answer:

1 and 0

Step-by-step explanation:

Let's call the smaller number x and the larger number y.

This means 5y+2x=5.

Also, 4y-x=4.

This is a system of equations. There are two main ways two solve this.

Method 1: Substitution

5y+2x=5

4y-x=4

Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.

I will take 4y-x=4 and solve for x.

4y=4+x

x=4y-4

Then substitute for x in the other equation and solve for y.

5y+2x=5

5y+2(4y-4)=5

5y+8y-8=5

13y=13

y=1

Now we can go back to our equation for x and substitute for y.

x=4y-4

x=4(1)-4=0

y, the larger number, is 1 and

x, the smaller number, is 0

Method 2: Elimination

5y+2x=5

4y-x=4

Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.

If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.

4y-x=4

becomes

8y-2x=8

Now we have 5y+2x=5 and 8y-2x=8.

Add the sides of both equations to cancel the x values.

5y+2x+8y-2x=5+8

13y=13

y=1

like last time, we can substitute for y in any of the original equations to get x.

5y+2x=5

5(1)+2x=5

5+2x=5

2x=0

x=0

y, the larger number, is 1 and

x, the smaller number, is 0

Answer:

B

Step-by-step explanation:

We can determine the total miles run by the 10 students by adding all the miles run by each individual student:

A

1 student * 1/12 miles = 1/12 miles

2 students * 1/8 miles = 2/8 miles = 1/4 miles

1 student * 1/6 miles = 1/6 miles

2 students * 1/4 miles = 2/4 miles = 1/2 miles

1 student * 1/3 miles = 1/3 miles

3 students * 1/2 miles = 3/2 miles

We add all these fractions to obtain 17/6, which is approximately 2.83, which is not as the question describes.

B

2 students * 1/6 miles = 1/3 miles

2 students * 1/4 miles = 1/2 miles

2 students * 1/3 miles = 2/3 miles

3 students * 1/2 miles = 3/2 miles

1 student * 1 mile = 1 mile

We add all these fractions to obtain 4 miles, which is as the question describes.

Answer:

C

Step-by-step explanation:

i am smart

Answer:

1750

Step-by-step explanation:

divide 7500 by 2 and you get 3750

3750-2000=answer

Answer:

1750

Step-by-step explanation:

7500/2=3750 (amount paid by scholarship). This leaves her owing 3750 but her parents are paying 2000.

3750-2000=1750 needed to save.

Answer:

(B) An uncontrolled experiment.

Step-by-step explanation:

In the case of an uncontrolled experiment here all participants are provided the similar treatment and there should be no comparison oppose to any group i.e. controlled

Since in the given situation, there are similar diets are provided to 20 volunteers and it can be that the  cholesterol level is decreased after particular time period,

Hence, it is an uncontrolled experiment.

Thus, option B is correct.

Answer:

8 (3.8 + 4)

Step-by-step explanation:

x=3.8

Answer:

-(m-4)(b-3)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping

Answer:

(m-4) (3-b)

Step-by-step explanation:

See the steps below:)

Answer:

14

Step-by-step explanation:

42=3p

42/3=3p/3

14=p

Answer:

yn +y -xn

Step-by-step explanation:

Mean= sum of numbers ÷number of numbers

x= sum of n numbers ÷n

Multiply both sides by n:

xn= sum of n numbers

sum of n numbers= xn -----(1)

Let the number added be a.

After a has been added,

y= (sum of n numbers +a) ÷(n+1)

Multiply both sides by (n +1):

y(n +1)= sum of n numbers +a

sum of n numbers= y(n +1) -a -----(2)

Substitute (1) into (2):

xn= y(n +1) -a

Expand:

xn= yn +y -a

a= yn +y -xn

Let's check!

Let the numbers be 1, 2, 3 and 4.

mean, x= 10 ÷4= 2.5

n= 4

Let the new number added, a, be 7.

a= 7

mean, y= 17 ÷5= 3.4

a= yn +y -xn

a= 3.4(4) +3.4 -2.5(4)

a= 7

Thus, the expression is true.

Answer:

a= 3

Step-by-step explanation:

Answer:

-37/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

9^2 + 15^2 = x^2

   81 + 225 = x

          17.49 = x

Rounded to the nearest tenth:

                 x = 17.5

Answer:

m<N = 32°

m(NQ) = 106°

Step-by-step explanation:

Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)

<N is an inscribed angle

It's intercepted arc = arc MP = 64°

Therefore,

m<N = ½(64°)

m<N = 32°

m<P = ½(m(NQ)) (inscribed angle theorem)

53° = ½(m(NQ))

Multiply both sides by 2

2*53° = m(NQ)

106° = m(NQ)

m(NQ) = 106°

In the image provided by you, it is asked that, what percentage of the individuals rode the Ferris Wheel and not the roller coaster?

Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =[tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]

Substituting the values given in the formula, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{28 }{112} [/tex]

Calculating further, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} [/tex]

Now, to convert any fraction into percentage, We multiply it by 100, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} \times 100 [/tex]

Calculating further, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \bf 25\% [/tex]

Answer:

y = x + 1

Step-by-step explanation:

x + y = 6

y = -x + 6

Perpendicular slope to -1 is 1

(0,1)

y - y1 = m(x - x1)

y - 1 = 1(x - 0)

y - 1 = x

y = x + 1

Standard form:

y = x + 1

-x + y = 1

Answer:

I think B .......................................

Answer:

1)  -311

2)  26 p^6 h^4

3) 18 x^2 y^5 z^7

4)  -20 c^4  

is correct answer.

i guess you dont know this '' ^ '' . this mean take that number in power,

All the best

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

4 CUPS OF MILK

Step-by-step explanation:

2 cups of milk=8 PANCAKES

2       X

8       16

16X2=32

32/8= 4

Given:

The graph of a polynomial.

To find:

The number of roots of the polynomial lie between x = -4 and x = 3.

Solution:

From the given graph it is clear that the graph is a downward U-shaped curve. It means the given graph represents a quadratic polynomial.

The graph of the polynomial is below the x-axis immediate before x=-2 and above the x-axis immediate after x=-2. It means the graph intersect the x-axis at x=-2.

The graph of the polynomial is above the x-axis immediate before x=2 and below the x-axis immediate after x=2. It means the graph intersect the x-axis at x=2.

Since the graph of the polynomial divides the x-axis two times between x = -4 and x = 3, therefore the two roots of the polynomial lie between x = -4 and x = 3.

Answer

The answer is 16/3

Step-by-step-explain

F(x) = ⅓ • 4ˣ, F(2)

F(2) = ⅓ • 4²

F(2) = ⅓ • 16

F(2) = 16/3

Thus, The answer is 16/3

-TheUnknownScientist

Answer:

Step-by-step explanation:

16/3

I hope it's helpful

Answer:

I'm pretty sure it is the second one because > means it won't be filled in and it means greater than so greater than 2

Answer:

320 cm² or 264 cm²

Step-by-step explanation:

first, the rectangular face area is 4 faces at 8 x 6 = 192 cm²

the 2 square faces will be either 8 x 8 or 6 x 6.

If 8 x 8, then the SA will be 192 + (2 x 8 x 8 ) = 320 cm²

If 6 x 6, then the SA will be 192 + (2 x 6 x 6 ) = 264 cm²

Step-by-step explanation:

Diameter=10cm

Radius=Diameter/2=10/2=5cm

Now

[tex]\boxed{\sf Volume\:of\: Sphere=\dfrac{4}{3}\pi r^3}[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{4}{3}\times \dfrac{22}{7}\times 5^3[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{88}{21}\times 125[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{11000}{21}[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=523.8[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=524units^3(Approx)[/tex]