A. Complete the table if y varies
directly as x or x2
B. Complete the table if y varies inversely as x.

Answers

Answer 1

Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x

Table 1:

y = k × x

30 = k × 5

30 = 5k

k = 30/5

k = 6

So,

y = 30

y = 30 k = 6

y = 30 k = 6x = 5

y = 30 k = 6x = 5Equation: y = 6x

y = k × x

y = 10 × 8

y = 80

So,

y = 80

y = 80 k = 10

y = 80 k = 10x = 8

y = 80 k = 10x = 8Equation: y = 10x

y = 3x

18 = 3x

x = 18/3

x = 6

So,

y = 18

y = 18k = 3

y = 18k = 3x = 6

y = 18k = 3x = 6Equation: y = 3x

y = 2x²

72 = 2x²

x² = 72/2

x² = 36

x = √36

x = 6

So,

y = 72

y = 72k = 2

y = 72k = 2x = 6

y = 72k = 2x = 6Equation: y = 2x²

Table 2:

y = k/x

5 = k/6

5 × 6 = k

30 = k

So,

y = 5

y = 5k = 30

y = 5k = 30x = 6

y = 5k = 30x = 6Equation: y = 30/x

y = k/x

y = 36/4

y = 9

So,

y = 9

y = 9k = 36

y = 9k = 36x = 4

y = 9k = 36x = 4Equation: y = 36/x

y = 60/x

20 = 60/x

20x = 60

x = 60/20

x = 3

So,

y = 20

y = 20k = 60

y = 20k = 60x = 3

y = 20k = 60x = 3Equation: y = 60/x

y = 24/x

y = 24/12

y = 2

So,

y = 2

y = 2k = 24

y = 2k = 24x = 12

y = 2k = 24x = 12Equation: y = 24/x

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Related Questions

The six seventh grade classes held a fundraiser where they sold candy bars. The school's principal award a $1000 prize to be divided between the six classes. If each class sold a different quantity, what would be the most equitable way to divide the money based on their sales ? If 8, 200 candy bars were sold, simulate how you divide the money between the six classes .

Answers

Answer:

8200/1000 = 8.2 so each time a class selss 8.2 bars, they receive 1 dollar.

If a class sold 16 bars, the class receives 2 dollars, if it sold 82 bars, it receives 10 dollars and so on.

answer it pls
pls
pls

Answers

Answer:

The probability that a letter at random is from V is 5/26 or 19.23%

By VCR Sales A dealer carries two models of VCRs. One sells for
$300 and the other sells for $225. The dealer sells 22 VCRs for a
total revenue of $5700. How many of each type did the dealer sell?

Answers

Answer:

2333

Step-by-step explanation:

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.The measure of angle ABC is °.The measure of angle BAC is °.The measure of angle ACB is °.

Answers

Answer:

Angle B is the linear pairs with 60°, so the size is 180-60=120°

Angle ABC is the linear pair with 120°, so the size is 180-120-60°

Angle A corresponds to angle 60°, so they are equal

Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°

Angle ACB is 180-(50+60) = 70°

Step-by-step explanation:

The solution is:

The measure of angle ABC is 60°.

The measure of angle BAC is 50°.

The measure of angle ACB is 70°.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Angle B is the linear pairs with 60°,

so the size is 180-60=120°

Angle ABC is the linear pair with 120°,

so the size is 180-120 =60°

Angle A corresponds to angle 60°,

so they are equal

Angle BAC is the linear pair with angle A and angle 70°,

so 180-(60+70) =50°

and, we have,

Angle ACB is 180-(50+60) = 70°

Hence, The solution is:

The measure of angle ABC is 60°.

The measure of angle BAC is 50°.

The measure of angle ACB is 70°.

To learn more on angle click:

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Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons. What kind of reasoning is Jared using?

a)Deductive Reasoning
b)Inductive Reasoning

Answers

Answer:

a)Deductive

Step-by-step explanation:

When you apply rules (in this case theorems) it is a deductive reasoning

Graph 4x + 7y ≤ 28 in the first quadrant of the coordinate plane.

Answers

Answer:

StGraph the line using the slope and y-intercept, or two points.

Slope: −47

y-intercept: (0,−4)

x y

−7 0

0 −4

Step-by-step explanation:

Find the x-intercept of y=1/2x-4

Answers

the x intercept is 8

Answer:

X=1/2

Step-by-step explanation:

Y=mx+b

Carlos bought a new cell phone. The graph represents the
relationship between the number of minutes he uses
and the total
cost. What is the equation of the line?

A) y= 5x + 0.1
B) y=0.1x + 5
C) y=0.5x + 5
D) y = 5x + 5

Answers

Answer:

B : y = 0.1x + 5

Step-by-step explanation:

using the y = mx + b equation

b is the intercept on the y axis ( x = 0)

m is the slope of the line.

From the graph we can see that the intercept is (0,5), therefore b = 5;

To calculate slope (m) pick two pints on the line e.g (100, 15) and (0, 5)

m = (y2 - y1)/(x2 -x1) = (15 - 5)/(100 - 0) = 10/100 = 0.1

m = 0.1

therefore in y = mx + b

y = 0.1x + 5

The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero?

Answers

Answer:

1489

Step-by-step explanation:

The population mean for a college Introduction to Biology quiz is 15 points. A sample of 45 high school seniors earns an average of 18.54 points. A 90% confidence interval for the true mean of high school seniors is [15.87, 21.20]. Based on this confidence interval, what would your decision be in regard to a 2-tailed null with an alpha level of 0.1

Answers

Answer:

C) Reject null, because 15 is not in the interval.

Step-by-step explanation:

12×6×2+10×6×2+12×10×2

Answers

Answer:

504

Step-by-step explanation:

The answer is 504.

Thank me later

Find the perimeter. Simplify the answer

Answers

Answer:

Perimeter = 16c + 24

Step-by-step explanation:

Perimeter = 4c + 7 + 4c + 7 + 8c + 10

Perimeter = 16c + 14 + 10

Perimeter = 16c + 24

-Chetan K

16c + 24

Step-by-step explanation:

To Find the perimeter we add

all the sides,

= > 4c + 7 + 4c + 7 + 8c + 10

= > 16c + 24...ans

Hope it Helps you!!

a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package?

Answers

Answer: 25 pencils

Step-by-step explanation:

2 × 5 = 10

5 × 5 = 25

identify the constant term in this expression 28m + 4n - 12m +3 =

Answers

Step-by-step explanation:

28m+4n-12m+3

28m-12m+4n+3

16m+4n+3

Find the greatest common factor of 27 and 46

Answers

The greatest common factor of 27 and 46 is 1

someone pls help it’s due today :(

Answers

180 - 28 - 14 = 138

so 12x - 18 = 138

x = 13

what is the sum of the first 8 terms of the geometric sequence 1, 1/2,1/4,1/8,..

(with solution)

PA HELP PO THANKYOUU~

Answers

Answer:

127/64

Step-by-step explanation:

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64

add all the given and it will result to 127/64

The graph of f(x) and g(x) are shown below

If f(x) = (x + 7)?, which of the following is g(x), based on the translation?

O g(x) = (x + 9)2
O g(x) = (x + 5)2
O g(x) = (x + 7)2 + 2
O g(x) = (x + 7)2 - 2

Answers

Answer:

Step-by-step explanation:

The dimensions of a carriage are:
height = x + 3 feet, length = 10x + 5 feet, and width= 2x-1 feet. If the volume of the carriage is 1050 cubic feet, what is the value of x?

Answers

Answer:

Step-by-step explanation:

length * width * height = 1050 cubic ft

(10x + 5)* (2x -1) * (x +3) = 1050

(10x + 5 )(2x-1) = 10x*(2x - 1) + 5*(2x -1)

= 10x*2x - 10x*1 + 5*2x - 1*5

= 20x² - 10x + 10x - 5 = 20x² - 5

(10x + 5)(2x -1)(x+3) = (20x² -5) *(x + 3)

=20x²*(x +3) - 5*(x +3)

= 20x³ + 60x² - 5x - 15

20x³ + 60x² - 5x - 15 = 1050

20x³ + 60x² - 5x - 15 - 1050 = 0

20x³ + 60x² - 5x - 1065 = 0

By trial and error method , (x -3 ) is a factor

Synthetic method:

3 ( 20 60 -5 -1065

( 60 360 1065

20 120 355 0

20x² + 120x + 355 = 0

Divide the equation by 5

4x² + 24x + 71 = 0 . Solving this equation gives imaginary number. So, ignore these values.

So, value of x = 3

height = 3+ 3 = 6 ft

Length = 10*3 + 5 = 30 + 5 = 35ft

Width = 2x - 1 = 2*3 - 1 = 6 - 1 = 5 ft

Check: length * width * height = 35 * 5 * 6 = 1050 cubic ft

Arron and Paul are paid 10$ per hour as landscapers. However this week Arron made an additional 54$ in overtime pay. Given that A and P represent the number of hours worked by Arron (a) and Paul (p) which expresion can be used to represent their combined earrings for the week.

A. 10A+10P+54
B. 10AP+54
C. 10P+54
D. 10A(54)+10P

Answers

D. 10A(54)+10P

Is the correct answer

Answer:

A. 10A+10P+54

Step-by-step explanation:

determine the degree of the polynomial.
8a^3+7a+6

Answers

Answer:

The degree of a polynomial is the largest exponent in the expression. The degree of the given polynomial is 3.

f (x)=x^2 what is g (x)

Answers

Answer:

Answer is X =0

Step-by-step explanation:

I Found This on a app

8
Which does NOT describe the quadrilateral below?
O A. trapezoid
B. square
C. parallelogram
О
D. rectangle

Answers

A: trapezoid. while trapezoids can have two right angles they are classified as having only one pair of parallel sides while the shape has two pairs

simplify the expression: -4x + 8 + 7x - 10
Help PLSSS.

Answers

3x-2 because u combined like terms (7x and -4x) then (-10 and 8) to get 3x-2

find the length of segment AB

Answers

11x-9=6x+11
11x= 6x+20
5x=20
x=4
So plug in 4 to AB 11(4)-9

(a) 35.8 + 10 need answer

Answers

[tex]⟹35.8 + 10 \\ = 45.8[/tex]

We are gonna add tge whole numbers together 35+10 which is equal 45 then we are going to add to the number tge decimal point and 8 so it’s going to be 45.8

PLEASE HELP, DUE TOMORROW

Answers

so hope it goes well but the answer is 11

(REPOST) STATION 3 ! 40 POINTS

Answers

Finding out how fast they are going:

Liberty Express: 128.3…mph
Mercury: 130mph
International: 123mph
Delta Eagle: 125mph
Great Valley: 130.5mph

Order:

International
Delta Eagle
Liberty Express
Mercury
Great Valley

Answer:

Great valley

Mercury

Liberty

Delta

International

Step-by-step explanation:

Liberty Express: 128.333

Mercury speed: 130

International speed: 122.666666

Delta Eagle speed: 125

Great Vally speed: 130.5

distance/time=speed

Order:

Great valley

Mercury

Liberty

Delta

International

Evaluate each expression when n = 4 and b = 7
1. 2n – 3

2. 4b + 3

3. 3n + 8b – 13

Answers

Answer:

1. 5 2. 31 3. 55

Step-by-step explanation:

1. 2(4)-3=8-3=5

2. 4(7)+3=28+3=31

3. 3(4)+8(7)-13=12+56-13=56-1=55

Answer:

1 is 5, 2 is 31, and 3 is 55

Step-by-step explanation:

you substitute n in for 4, and for 1 you get 2(4)-3, and 2(4) =8-3 is 5. you substitute the n and b values in for the actual number, and you can get an easier answer.

what is the point slope equation of the line that passes through (9,-1) and has a slope of 5

Answers

Answer:

y=5x+46

Step-by-step explanation:

apply point

-1=5(9)+n

-1=45+n

n=-46

y=5x+46

Answer:

y + 1 = 5(x - 9)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = 5 and (a, b ) = (9, - 1 ) , then

y - (- 1) = 5(x - 9) , that is

y + 1 = 5(x - 9)

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A. Complete the table if y varies directly as x or x2 B. Complete the table if y varies inversely as x.

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A. Complete the table if y varies
directly as x or x2
B. Complete the table if y varies inversely as x.