Suppose y varies directly with x, and y=98 when x=14. Write the direct
variation equation that relates x and y.

Answers

Answer 1
Answer:   y = 7x

===========================================================

Explanation:

Since y varies directly with x, this means y = kx for some constant k.

Plug in y = 98 and x = 14 to solve for k

y = kx

98 = k*14

98/14 = k

7 = k

k = 7

Therefore, y = kx updates to y = 7x which is the equation we're after.

Answer 2

Answer:

y = 7x

Step-by-step explanation:

The general formula for direct variation is y = kx, where k is the constant of proportionality.  If y = 98 when x = 14, then k must be 98/14. or 7, and so

y = 7x is the desired direct variation equation.


Related Questions

Which sets of ordered pairs represent functions from A to B? (Select all that apply.)

A = {0, 1, 2, 3} and B = {−2, −1, 0, 1, 2}

A. {(0, 2), (3, 0), (1, 1)}

B. {(0, 0), (1, 0), (2, 0), (3, 0)}

C. {(0, −1), (2, 2), (1, −2), (3, 0), (1, 1)}

D. {(0, 1), (1, −2), (2, 0), (3, 2)}

Answers

10+10+19+26+16631+177372=x

11111111111111111111111

Answers

Answer:

1) Zero based on (-16·t - 2) is t = -1/8 second

2) Zero based on (t - 1) is t = 1 second

Step-by-step explanation:

The given functions representing the height of the beach ball the child throws as a function of time are;

y = (-16·t - 2)·(t - 1) and y = -16·t² + 14·t + 2

We note that (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

Therefore, the function representing the height of the beachball, 'y', is y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The zeros of a function are the values of the variables, 'x', of the function that makes the value of the function, f(x), equal to zero

In the function of the question, we have;

y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The above equation can be written as follows;

y = (-16·t - 2) × (t - 1)

Therefore, 'y' equals zero when either (-16·t - 2) = 0 or (t - 1) = 0

1) The zero based on (-16·t - 2) = 0, is given as follows;

(-16·t - 2) = 0

∴ t = 2/(-16) = -1/8

t = -1/8 second

The zero based on (-16·t - 2) is t = -1/8 second

2) The zero based on (t - 1) = 0, is given as follows;

(t - 1) = 0

∴ t = 1 second

The zero based on (t - 1) is t = 1 second

A plane leaves an airport traveling at 400 mph in the direction N 45° E. A wind is blowing at 40 mph in the direction N 45° W. What is the ground speed of the plane?

400 mph
402 mph
429 mph
440 mph

Answers

i would say c maybe?

Answer: B - 402

Edge 2020

Abigail's grandmother gave her a square shaped quilt that was made up of 256 small squares. How many squares are on each side of the quilt?​

Answers

Answer:

64

Step-by-step explanation:

you divide 256 four times

abcdefghijklmnopqrstuvwxyz??

Answers

Answer:

Answer:

Step-by-step explanation:

Nice dog!

Have a great day!

very good boy/girl :)

2. 252 - 200 – 8 x 5 = 247
Insert parenthesis to make the answer true

Answers

um hmu umumum mum um

Can someone help me solve this (solution must contain a point (x,y).

Answers

Answer:(6,2)

Step-by-step explanation:

Photomath

Answer:

x=6

y=2

(x,y)=(6,2)

.................................

PLEASE SHOW WORK ILL GIVE BRAINLIEST

Answers

Answer:

[tex]\frac{9}{20}[/tex] [tex]miles^{2}[/tex]

Step-by-step explanation:

To find the area of a rectangle, use the formula A = l*w, where l is the length and w is the width.

A = [tex]\frac{9}{10}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{9}{20}[/tex] [tex]miles^{2}[/tex]

1. Jared has portrait in shape of a square. One side length, in inches, is the sum of 7 and L

Jamilah also has a portrait in shape of a square. The length of one side is 3 inches longer

than one side of Jared's portrait. What is one side length of Jamilah's portrait?

Answers

Answer:

7 + L + 3 = L + 10

Step-by-step explanation:

Choose the missing step in the given solution to the inequality −2x − 14 > −4 + 3x.

−2x − 14 > −4 + 3x
−5x − 14 > −4
_____________
x < −2

A. −5x < 10
B. −5x > −18
C. −5x > 18
D. −5x > 10

Answers

Answer:

Step-by-step explanation:

-2x - 14 > -4 + 3x

subtract 3x from both sides

-5x - 14 > -4

add 14 to both sides

-5x > 10

divide both sides by -5

x < -2

The answer would be -5x > 10.

This is because our last inequality was -5x - 14 > -4 so we add 14 to both sides and it would look like this -5x (-14 + 14) > (-4 + 14) which would transition into our next inequality -5x > 10.

So therefore the answer would be -5x > 10.

Graph the line with the equation y= - 1/3 x -4?

Answers

Use desmo.com

its really helpful

The sum of 6 and y is greater than – 16.

Answers

Answer: 6+y < -16

Step-by-step explanation:

Omar invests £6000 for 4 years in a savings account. He will get 1.5 % per year compound interest. Work out the total amount of that will be in Omar accounts by the end of the 4 years. Round your answer to the nearest pound.

The answer is either

6361
6369
6360
Or 6368

Answers

Answer:

£6368

Step-by-step explanation:

You can start by making a formula, which will be:

100/100=1

1.5/100=0.015

1+0.015=1.015 (your multiplyer)

6000*1.015^n= your money after 4 years

(n represents the number of years)

Now you just put in the number of years:

6000*1.015^4=6368.181304

Now round:

Answed= £6368

HELP ASAPPPP USE THE PHOTOOOOO MARKING BRAINLIEST

Answers

the correct answer is A. you just substitute the t value in to get the second number
A is correct.

(-3)(-3) - 3 = 9-3 = 6

I can do the others, but A is the only one with that first answer correct

Select the equations that show a proportional relationship between x and y.
y = 3x - 3
y = 3x

Answers

Answer:

The answer is the 2nd one.

Help me plss plss I really need help I have a f

Answers

Answer:

A. 5 1/2 and D. 11/2

Step-by-step explanation:

Make improper fraction

8*1+3=11/8

Solve by multiplying:

4*11/8

44/8

Simplified is 11/2

We can turn it back into a mixed number

2*5+1=11 so 5 1/2

I NEED HELP ITS KINDA EASY BUT NOT FOR ME

Answers

Answer:

28m

Step-by-step explanation:

Formula of area

AREA = LENGTH (multiply) BREATH

Answer:

The area of a triangle can be calculated with the formula: 1/2(bh), where b is the base length, and h is the height.

In this case, 4 is the base, and 7 is the height.

So we have: Area = 1/2(4)(7)

Simplifying: Area = 2(7), Area = 14.

The area of the triangle is 14 meters squared.

Let me know if this helps!

Help with math work please I am bad at math the question is on the image!!

Answers

In my knowledge

2 × 8 + 5 = 21

Hope it helps ;)

For the first square it’s gonna be 2 so 2 x 8 is 16 so now you put 5 next because 2 x 8 is 16 and plus 6 equals 21

Pleaseee helpppp answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

10.4 meters

Step-by-step explanation:

which of the following is a phytogrean triples ​

Answers

Answer:

Of these, only 16 are primitive triplets with hypotenuse less than 100: (3, 4,5), (5, 12, 13), (8, 15, 17), (7, 24, 25), (20, 21, 29), (12, 35, 37), (9, 40, 41), (28, 45, 53), (11, 60, 61), (33, 56, 65), (16, 63, 65), (48, 55, 73), (36, 77, 85), (13, 84, 85), (39, 80, 89), and (65, 72, 97) (OEIS A046086, A046087, and ...

Step-by-step explanation:

your answer

The function f(x) = 15x + 2 What is the meaning of the slope of the function?

Answers

Answer:

15

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

which expressions are equivalent to 2 to the 6th power choose all that apply. please help

Answers

Answer:

2 * 2 * 2 * 2 * 2 * 2

4 * 16

8 * 8

Step-by-step explanation:

Power is the result of multiplying two numbers together. The correct option is 2×2×2×2×2×2, 4×16, and 8×8.

What is power?

Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

The given expression can be written as,

2⁶ = 2 × 2 × 2 × 2 × 2 × 2

   = 4 × 16

   = 8 × 8

Hence, the correct option are 2×2×2×2×2×2, 4×16, and 8×8.

Learn more about Power here:

https://brainly.com/question/23432317

#SPJ2

What is the length of the hypotenuse to the nearest hundredth place in the diagram below

Answers

Answer:

Hypotenuse (x) = 7.27

Step-by-step explanation:

cos57*=4cm/x

cos57*/cos57*=4/cos57*

x=4/cos57*

cos57*~.55

x=4/.55

x=7.27

evaluate f(.25) if f(x) = [[2x-1]]

Answers

Answer:

(-.5)

Step-by-step explanation:

Please hurry it’s timed

Answers

The second one is the answer

percents and numbers​

Answers

Answer:

16

Step-by-step explanation:

Mr Tan monthly salary is $2999.52. In order to fill up a membership application form, mr Tan has yo roping off his monthly salary to the nearest dollar. What should he write on the application form for his monthly salary?

Answers

Answer:

three thousand dollars

Step-by-step explanation:

you round up to 3000

PLS HELP. I dont understand math

Answers

Answer:

a) 2 + 1 = 3

   4 + 2 = 6

   6 + 3 = 9

b) Yes

c) Yes, since you are adding b to two b, which results in 3b

Step-by-step explanation:

Hope that helps!

please do ALL 3 will give brainliest!! and a surprise!!!

Answers

Answer:

a) -2.5x+3.9+1.7x

circle: 2.5x and 1.7x

variables: x

b) 1 1/2+t+2/3s

no like terms

variables: s and t

c) 15k+2/3k+3m

circle: 15k and 2/3k

variables: k and m

If 1/4 gallons of water are enough to fill 7/10 of the pool how much water is nessacary to fill in the entire pool

Answers

Answer:  5/14 gallons

============================================================

Work Shown:

1/4 = 0.25

7/10 = 0.70 = 70%

We are told that 0.25 gallons of water fills 70% of the pool

We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.

Set up the proportion below and solve for x

(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)

0.25/70 = x/100

0.25*100 = 70x ....... cross multiply

25 = 70x

70x = 25

x = 25/70

x = (5*5)/(5*14)

x = 5/14 gallons

----------------------------------------

An alternate method:

1/4 gallons = 7/10 pools filled

(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)

(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled

10/28 gallons = 1 pool filled

(5*2)/(14*2) gallons = 1 pool filled

5/14 gallons = 1 pool filled

In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".

----------------------------------------

Yet another alternate method:

1/4 = 10/40

7/10 = 28/40

We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.

So we have this ratio

10 gallons : 28 pools

Dividing both parts by 28 tells us how many gallons are needed for one pool

10 gallons : 28 pools

10/28 gallons : 28/28 pools

10/28 gallons : 1 pool

5/14 gallons : 1 pool

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