Some information about a direct variation is given in the table below. If the equation
of this direct variation is y = kx , find the coefficient k and fill in the missing
information.

Some Information About A Direct Variation Is Given In The Table Below. If The Equationof This Direct

Answers

Answer 1

Answer:

Step-by-step explanation:

y = kx ;

k = [tex]\frac{y}{x}[/tex] ; x = [tex]\frac{y}{k}[/tex]

~~~~~~~~~~~~~

k = [tex]\frac{1}{2}[/tex] ÷ 1 = [tex]\frac{1}{2}[/tex]

[tex]y_{1}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 8 ) = - 4

[tex]y_{2}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 4 ) = - 2

[tex]y_{3}[/tex] = [tex]\frac{1}{2}[/tex] × 2 = 1

[tex]x_{5}[/tex] = [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]x_{6}[/tex] = - [tex]\frac{1}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex] = - [tex]\frac{1}{2}[/tex]

[tex]x_{7}[/tex] = 0

( x , y ) : ( - 8 , - 4 ), ( - 4 , - 2 ), ( 2 , 1 ), ( 1 , [tex]\frac{1}{2}[/tex] ), ( [tex]\frac{2}{3}[/tex] , [tex]\frac{1}{3}[/tex] ), ( - [tex]\frac{1}{2}[/tex] , - [tex]\frac{1}{4}[/tex] ), ( 0 , 0 )


Related Questions

Derek and Jeannine buy a car for a total price, including tax, of $19,795. The price of the car was $18,500. What is the tax rate.

Answers

Answer:1.07

Step-by-step explanation:

The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 40
pizzas in all, 40% of which were mushroom pizzas. How many mushroom pizzas did the
cafeteria make?

Answers

Answer

16 mushroom pizzas

Mai biked 6 3/4 miles today, and Noah bikes 4 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?

Answers

Answer:

Mai's ride is 1.5 times longer than Noah's

Step-by-step explanation:

please help me with this also jjodlask​

Answers

Answer:

1. 15, 2. -23, 3. 220, 4. 4x-5

Step-by-step explanation:

f(x) = 4x + 3     g(x) = x - 2

1. f(g(5)): Put 5 in as x in g(x)  5 - 2 = 3.  Now put the 3 as x into f(x) and solve. 4(3) + 3 = 15

2. g(f(-6))  4(-6) + 3 = -21. -21 - 2 = -23

3. (f(f(7)) 4(7) + 3 = 31, 31(7) + 3 = 220

4. g(f(x))  4(x-2) + 3  =  4x - 8 + 3  = 4x - 5

Composite functions

When a function is substituted into another function it is known as a composite function.

Given the following functions:

f(x) = 4x  + 3

g(x) = x - 2

Determine [tex]f(g(x)) \ and \ g(f(x))[/tex]

[tex]f(g(x)) = f(x-2)\\ f(x-2) = 4(x-2)+3\\ f(x-2)=4x-8+3\\ f(x-2) = 4x - 5\\ f(g(x)) = 4x - 4 [/tex]

1) Determine the value of [tex]f(g(5))[/tex]

[tex]f(g(5))=4(5) - 4\\ f(g(5))=20-4\\ f(g(5))=16[/tex]

2) For the function [tex]g(f(-6))[/tex]

[tex]g(f(-6))=4(-6) + 1\\ g(f(-6))=-24+1\\ g(f(-6))=-23[/tex]

3) For the value [tex]f(f(7)), [/tex]we need to determine [tex] f(f(x))[/tex]

[tex]f(f(x)) = f(4x+3)\\ f(f(x))= 4(4x+3)+3\\ f(f(x))=16x+12+3\\ f(f(x))=16x+15\\ f(f(7)) = 16(7) + 15\\ f(f(7)) = 127[/tex]

4) For the function [tex]g(f(x));[/tex]

[tex]g(f(x))=(4x+3)-2\\ g(f(x))=4x+3-2\\ g(f(x))=4x+1[/tex]

learn more on composite functions here: https://brainly.com/question/10687170

Can i get some help :

Answers

Answer:

New Price = 1.55c

Step-by-step explanation:

Since we are asked to represent the original cost of the toy as c, and not it's actual cost of ($9.84 - $3.49, or $6.35), I'll assume the question is interested only in the relative price increase.  The relative increase is 3.49/6.35 or 55%.  The new price is 155% or 1.55 times the original price.

That means we have New Price = 1.55c

I need correct answer for this ​

Answers

Answer:

should be 82%

Step-by-step explanation:

Hope this helps!

Answer:

82%

Step-by-step explanation:

percents are out of 100, so its just multiplied by two

Solve the system of equations.
fequations with
on: potato chips
15x + 3y = -3
equations with
n: -3x-4y=-2 &
2 = -y +3
2=
stems of
with
Y =

Answers

Answer:

y = - 3, x = 6

Step-by-step explanation:

15x + 31y = - 3

x = - y + 3

15(- y + 3) + 31y = - 3

-15y + 45 + 31y = - 3

16y + 45 = - 3

16y = - 48

y = - 3

x = - (- 3) + 3

x = 3 + 3

x = 6

Answer:

x = 6, y = -3.

Step-by-step explanation:

15x + 31y = -3

x = -y + 3

Substitute x = -y + 3 in the first equation:

15(-y + 3) + 31y = -3

-15y + 45 + 31y = -3

16y = -3 - 45 =-48

y = -3.

So x = -(-3) + 3 = 6.

18. The angle measures of a triangle are shown in the diagram. What is the value of x?
3x + 8
84
43

Answers

Answer:

15

Step-by-step explanation:

3x + 8 + 84 + 43 = 180

3x + 135 = 180

3x = 45

x = 15

How much Lilac would earn if she deposited ₱25,000.00 on the bank with 3% interest per year after 5 years?

paki answer po T-T

Answers

Answer:

p= 25000

I=3%

t=5yrs

a= pti÷ 100

25000*3*5÷100

3750

Consider the line y=-5/4x + 5
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Answer:5

Step-by-step explanation:

How many angles are formed with a pair of parallel lines and a transversal

Answers

Answer:

what i learned was 8 are formed

Step-by-step explanation:

I NEED ANSWER NOW PLEASE TELL ME HOW YOU GOT THE ANSWER PLEASE NO LINKS ITS DUE IN 12 MINS!

Answers

Answer:

65.214

Step-by-step explanation:

0x100=0

6x10=60

5x1=5

2x(1/10)=0.2

1x(1/100)=0.01

4x(1/1000)=0.004

add all of these values up. hope this helps!

The neon lights on the dance club sign blink 240 times in 2 minutes. How many times does the neon sign blink in 10 minutes?

Answers

Answer:

1200 times in 10 minutes.

Step-by-step explanation:

There's 5 amounts of 2 minutes in 10.

Therefore multiply 240 by 5.

24 x 5 = 120 x 10 = 1200 times.

Answer:

If it blinks 240 times in 2 minutes, then you need to multiply 240 and 5. My work is shown below...

2 = 240

2 x 5 = 10

5 x 240 = 1200

This means the neon sign blinks 1200 times every 10 minutes.

Step-by-step explanation:

Have a great day and please mark brainliest!

Shivani had 3/10 of a pound of blueberries. Shivani let her friend Rosa eat 1/4 of the
blueberries. How many pounds of blueberries did Rosa eat?
Write your answer as a fraction or as a whole or mixed number.
a
pounds

Answers

9/40 pounds of blueberries

who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?

Answers

René Descartes was the person who created analytic geometry and the Cartesian coordinate system

Solve the inequality f – 4 ≤ 9 for f
help me.

Answers

f ≤ 13 (add the 4 to the 9 to make 13)

Answer:

13

Step-by-step explanation:

Have a great day!! :)

Divide: (3x³+4x+11)/(x²-3x+2)​

Answers

In attachment I have answered this problem.

Please help! I highly appreciate it! :D

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Total surface Area of the cuboid is ~

[tex] \sf2(lb + bh + lh)[/tex]

[tex] \sf2[(12 \times 4) + (4 \times 5) + (12 \times 5)][/tex]

[tex] \sf2[48 + 20 + 60][/tex]

[tex] \sf2(128)[/tex]

[tex] \sf256 \: \: ft {}^{2} [/tex]

Surface area = 256 ft^2

Surface area (SA) = Total area on the Surface only

SA of cuboid = Area of rectangle (2 sides) + Area of square (2 sides) + Area of other rectangle (2 sides)

SA = 2(12x5) + 2(4x5) + 2(12x4)

SA = 120 + 40 + 96

SA = 256 ft^2

A car salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$16. Option B is a commission rate on weekly​ sales, and he averages ​$6400 in sales each week. What commission rate does he need to have to earn the same amount with the two​ options?

Answers

10%

since he works 40 hours per week and gets $16 an hour, that would be 16 * 40 which is 640, so that means he needs a commission rate of 10% as 10% of 6400 is 640.

hope this is helpful!

On a scale drawing of a town,two landmarks are shown 6 inches apart. These two places are actually separated by 54 miles. What is the map's scale? 1 inch = ______ miles​

Answers

Answer:

9

Step-by-step explanation:

[tex]54 \div 6 = 9[/tex]

Peter says, "If you subtract 16 from my number and multiply the difference by - 2, the result is
- 34." What is Peter's number?

Answers

Let’s say Peter’s number is P.

P minus 16 and the answer times -2 is -34

-2(P-16) = -34

-2P+32 = -34

-2P = -66

Divide by -2

P is 33.

Check: 33-16 is 17 and 17*-2 is -34. So

P is 33.

Answer:

33

Step-by-step explanation:

Let the number be x,

=> (x - 16) -2 = - 34

=> -2x + 32 = -34

=> -2x = - 34 - 32 (by transposing)

=> -2x = -66

=> x = -66/-2 = 33

Peter's number is 33.

Hope you understood.

What are the slope and y-intercept of this function?

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

The Correct choice is D

Consider two points (0 , 3) and (2 , -1), now let's find the slope ~

[tex] \sf{ \dfrac{y2 - y1}{x2 - x1} }[/tex]

[tex] \sf \dfrac{3 - ( - 1)}{0 - 2} [/tex]

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

[tex] \sf - 2[/tex]

And as about y - intercept, the point having x - coordinate equal to zero is its y - intercept.

that is ~

[tex] \sf(0 ,3)[/tex]

5m - 2 represents the statement two less than five times a number

Answers

Answer:

yes

Step-by-step explanation:

Please answer with an explanation

Answers

Answer:

-2(1-2p)

Step-by-step explanation:

-7-4p-(-5)

-(-5)=5

=-7-4p+5

=5-7-4p

=-2-4p

=-2(1-2p)

15+25 distributive property

Answers

Answer:

(5 x 3) + (5 x 5)

Step-by-step explanation:

hope thats what your looking for

determine if the two triangles are congruent.If they are state how u know

Answers

Answer:

17) Congruent because two sides are congruent and so is the 90 degree vertical angle.

18) Congruent because they have a congruent leg and congruent angle, and they share a side which is congruent to itself. (SAS)

19) Congruent because all three sides are congruent (SSS)

20) congruent, all three sides are the same (SSS)

Help please I’ll give Brainly please answer both I’ll give 5 stars and lines

Answers

Answer:

I  really cant see the picture that well or, i would help.

Step-by-step explanation:

X=26
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees
So, we get
(48-x) + (3x-10) =90
48-x+3x-10=90
-x+3x-10+48=90
2x+38=90
2x+38=90
2x=90-38
2x=52
Divide both sides by 2
52 divided by 2
X=26

Acafeteria has two sizes of pizza to serve students during lunch.
The smaller pizza has a 4-inch diameter. What is the area of the smaller pizza?
What did a the area of the smaller pizza

Answers

Answer:

pointsss

Step-by-step explanation:

Answer: 12.56 inches^2 or 4π inches^2 (depending on what format your answer needs to be in)

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex].

To find the radius (r), divide the diameter of 4 inches by 2. The radius is 2 inches.

Plug this into your equation to get [tex]\pi (2^{2} )[/tex], which can be simplified to 4π inches^2.

If you need your answer as a decimal, input 3.14 for [tex]\pi[/tex] to get an equation of 4 * 3.14. Multiply to get a final answer of 12.56 inches^2.

The length of a rectangle has a measure of x and the width of a rectangle has a measure of (x-2). Find x if the area is 35.

Answers

Answer:

length = 7

pls mark me the brainliest

Step-by-step explanation:

A = Lw

35 = x (x -2)

35 = x2 - 2x

x2 -2x -35 = 0

(x-7)(x+5) = 0  

x-7=0

x=7       (we won't use the other factor since it would give us a negative length

so length = 7

Find the total surface of :

Answers

(pi)r^2 = (pi)(14)^2,

(pi)196

Now solve for the height,
(10)(196)(pi)
Then it’s 1960(pi)

Now multiply pi, 6157.521
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