Given a slope of 3 and the point (2, 1), find the Y-intercept of the line.

Yes, the given table shows a proportional relation with constant of proportionality  1/3.

Two variables x and y are in proportional relation if the relation between  then is in the form y = k x, where k is the constant of proportionality.

Or we can say for all pairs ( x, y ) , y/x = k , k is constant then the table containing (x, y) values shows a proportional relationship.

From given table

When x= 5 , y =[tex]1\frac{2}{3}[/tex] =5/3

Then, y/x = (5/3)/5 = 1/3 =k

When x =6 , y =2

Then, y/x = 2/6 = 1/3 =k

When  x =  7 , y = [tex]2\frac{1}{3}[/tex] = 7/3

Then, y/x = (7/3) /7 = 1/3 =k

When x=8 , y =[tex]2\frac{2}{3}[/tex] = 8/3

Then , y/x = (8/3) / 8  = 1/3 =k

Thus for each pair (x, y) given in the table the ratio y/x is same , this ratio is say k = 1/3

Therefore, for the given table y/ x = k or y =k x with k = 1/3 , and the table  shows a proportional relation with constant of proportionality  1/3.

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Answer:

(f + 10) - 5

Step-by-step explanation:

Answer: For the first one b can be a higher or lower number

for the second one b can be a higher or lower number and the last one must be a higher number

Step-by-step explanation:

hope this helps :D

Answer:

16 I believe.

Step-by-step explanation:

1.n:1

6:8

2.cross multiply

3.8×n÷6×1

8n=6

4 divide both side by 6

=8n÷6=6÷6 :

=8n÷6=1.33...

therefore n=1.33...

Answer:

Step-by-step explanation:

Answer:

Vertex: (-4,0); points down; y-intercept: -8

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

Answer:

If I get 2=3 in solving the system, it means the following:

Step-by-step explanation:

The solution of linear system of equations implies that a point has to be found that holds true on all equations involved.

The system may consist of two equations involving two unknowns or may consist of three equation with three unknowns.

When a system of equation has no solution, the variables are removed in solving the equations and we get an equation or values in the form.

constant = constant

So,

If I get 2=3 in solving the system, it means the following:

Answer:1. f(x) is translated 15 units to the left 2. f(x) is vertically stretched

Step-by-step explanation:

I took this class last year

Answer:

f(x) is translated 15 units to the left 2. f(x) is vertically stretched

Step-by-step explanation:

Answer:

20 students

Step-by-step explanation:

Turn 28 into an improper fraction. Multiply 28 by 5 and multiply 7 by 1. You will have 140/7, which equals 20.

Answer:

well.. To solve this problem, use  multiplication  and  

20  of Mrs. Perez’s students participate in school sports

Step-by-step explanation:

Answer:

slope = 3

Step-by-step explanation:

slope = 3/1

.......

......

Answer:

a) 0.8

b) 0.075

c) 0.04

d) 3.3125

Step-by-step explanation:

To find the decimal of a fraction, just divide.

And if it's a mixed number, first turn it into an improper fraction. For 3 5/16 multiply 3 by 16 then add the product to 5. It would be 53/16

Answer:

5.77in

Step-by-step explanation:

A cube has 6 square faces, so each face would have area 200 sq in/6=33.33 sq in

Since the area of each face equals the square of the sides, the edge of the cube would be sqrt%2833.33sq+in%29= approx. 5.77 in

Answer:

7) 75.4 yd

8) 34.56 mi

6) 81.68 cm

Step-by-step explanation:

The formula of circumference is: circumference (C) = 2 * π * r

7) The radius = 12 yd

π = 3.14

We can solve for C:

C = 2πr

C = 2(3.14)(12 yd)

C = 75.4 yd

8) The radius = 5.5 mi

π = 3.14

Solve for C:

C = 2πr

C = 2(3.14)(5.5 mi)

C = 34.56 mi

6) The diameter is 26. The radius is one half of the diameter; so the radius is 13.

We can solve for C:

C = 2πr

C = 2(3.14)(13 cm)

C = 81.68 cm

Hope this helpsss <3

Answer:

7) 75.36  8)34.54 9)81.64

Step-by-step explanation:

you can find this by using the formula diameter times pi (for pi use 3.14) or the formula 2times pi times radius. and for the diameter just multiply the radius by 2.

Answer:

A:(2,3)

B:(3,-6)

C:(5,4)

Step-by-step explanation:

When reflecting across the x-axis, the x coordinate doesn't change while you flip the property of the y coordinate. IE: -3 to 3 , 3 to -3

Same logic with reflecting across the y-axis.

Hope I helped :)

Answer:

slope intercept form- y= -21/2x +5

Point slope form= y-47=-21/2 (x+4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the average of a set of numbers?

An average is a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.

Given

September, $28.95;

October, $46.15;

November, $68.46;

December, $109.34;

January, $115.26;

February, $94.19;

March $75.66;

April, $51.97; and

May, $49.16.

Step two:

Total amount= 28.95+46.15+68.46+109.34+115.26+94.19+75.66+51.97+49.16= 639.14

Total number of monts= 9

Average= 639.14/9

Average= $71.01

9514 1404 393

Answer:

  P = 70 +4x

Step-by-step explanation:

From your previous work with the parking lot, you know its area is ...

  A = 560 +32x

The width of the parking lot extension is (52 -20 -24) = 8 yards, so its area is ...

  extension area = 8P

We want the extension area to be equal to the original area so that adding the extension will double the area:

  extension area = A

  8P = 560 +32x

  P = 70 +4x . . . . . . divide by 8

Answer:

She must have earned 16 dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you write 1 instead of y, x would be 5/8 so ratio is 1/5:8=8/5

Answer:a

Step-by-step explanation:

Answer:

There are no values of

x

that make the equation true.

No solution

Step-by-step explanation:

-x + 5 + 6x = 1 + 5x + 3

Group like terms

-x+6x+5=1+5x+3

Add similar elements:-x+6x=5x

5x+5=1+5x+3

Group like terms

5x+5=5x+1+3

Add the numbers 1+3=4

5x+5=5x+4

Subtract 5 from both sides

5x+5-5=5x+4-5

Simplify

5x=5x-1

Subtract 5x from both sides

5x-5x=5x-1-5x

Simplify

0=-1

The sides are not equal

No Solution

Answer:

Yes, they are equivalent, and the second question is B

Step-by-step explanation:

If you add x on both sides of equation A, then it comes up to 5x+2=6, which is equivalent to equation B. For the second question, you are just basically adding a variable to each side, so it is B.

Answer:

6 1/4 and 1 1/4

1 and 1/5

Step-by-step explanation:

These are the only ones I think

[tex]6\frac{1}{4}[/tex] kilometer:  [tex]1\frac{1}{4}[/tex] minutes and 1 kilometer: 1/5 minutes has unit rate as 5.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The given, ratios are:

4/5 km : 5 minutes

[tex]3\frac{1}{10}[/tex] km: 3/10 minutes

1 kilometer: 1/5 minutes

1/3 kilometer: [tex]1\frac{2}{3}[/tex] minutes

[tex]4\frac{1}{2}[/tex] kilometer: 2 minutes

[tex]6\frac{1}{4}[/tex] kilometer:  [tex]1\frac{1}{4}[/tex] minutes

We need to check which ratios have 5 as unit rate.

[tex]6\frac{1}{4}[/tex] kilometer:  [tex]1\frac{1}{4}[/tex] minutes has unit rate as 5

25/4/5/4

5

1 kilometer: 1/5 minutes

5

Hence, [tex]6\frac{1}{4}[/tex] kilometer:  [tex]1\frac{1}{4}[/tex] minutes and 1 kilometer: 1/5 minutes has unit rate as 5.

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Answer:

El orden de forma creciente de los números enteros es:

-32< -21< -16< -11< -7< -2< < 6< 20< 30< 32

Step-by-step explanation:

Ordenar de forma creciente números enteros implica ordenarlos de menor a mayor. Esto es, debes considerar primero el número que posea el menor valor y luego ir ordenándolos a medida que su valor vaya aumentando, para dejar en último lugar al que posea el mayor valor.

Para ordenarlos debes tener en cuenta que:

Entonces, en este caso el orden de forma creciente de los números enteros es:

-32< -21< -16< -11< -7< -2< < 6< 20< 30< 32

Answer:

To find a, b, and c, rewrite in the standard form ax2+bx+c=0ax2+bx+c=0.

a=1, b=3, c=0

Answer:

4x^2-4xy-3\frac{y^2}{2}x^2-5xy-3y^2 is 2

−3x^2 y^2 +8x^2 −18xy−6y^2

Step-by-step explanation:

Answer:

[tex]Remainder = 1956[/tex]

[tex]Quotient = 5[/tex]

Step-by-step explanation:

Given

[tex]Dividend = n[/tex]

[tex]Divisor = 10000[/tex]

[tex]Quotient = 1[/tex]

[tex]Remainder = 2011[/tex]

Required

Determine the quotient and remainder when the divisor is 2011

First, we need to determine the value of n.

The relationship between the given parameters is:

[tex]Dividend = Quotient * Divisor + Remainder[/tex]

Substitute values in the above:

[tex]n = 1 * 10000 + 2011[/tex]

[tex]n = 10000 + 2011[/tex]

[tex]n =12011[/tex]

So, we divide 12011 by 2011 and record the quotient and divisor:

[tex]\frac{12011}{2011} =[/tex]

The integer division of 12011 and 2011 is 5.

The remainder is calculated using:

[tex]Dividend = Quotient * Divisor + Remainder[/tex]

Where

[tex]Dividend = 12011[/tex]

[tex]Quotient = 5[/tex]

[tex]Divisor = 2011[/tex]

So, Remainder =:

[tex]Remainder = 12011 - 2011* 5[/tex]

[tex]Remainder = 12011 - 10055[/tex]

[tex]Remainder = 1956[/tex]

Hence:

[tex]\frac{12011}{2011} = 5\ Remainder\ 1956[/tex]