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3 years ago

Which equations show a direct variation? Choose all answers that are correct.

1 answer:

4 0

Apparently you had to scooty out of here before you had a chance to
tell us what the choices are. So there's no way for anybody to help you
find the correct ones.

For an equation to show direct variation:

-- When either 'x' or 'y' is zero, the other one must be zero too.

-- 'x' and 'y' must both be to the first power in the equation.
What I mean is; no squares or higher powers of 'x' or 'y',
no square roots, or cubes etc.

and

-- If 'x' or 'y' is in the denominator of a fraction,
then it has to be in the numerator too.

You might be interested in

Solve the following system of equations by graphing and select the correct answer below:

JulijaS [17]

Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

To find the x-intercept, substitute $y=0$ into the equation and solve for "x".

To find the y-intercept, substitute $x=0$ into the equation and solve for "y".

- For the first equation:

x-intercept

$4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25$

y-intercept

$4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66$

Graph a line that passes through the points (7.25, 0) and (0, 9.66)

- For the second equation:

x-intercept

$2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5$

y-intercept

$2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33$

Graph a line that passes through the points (0.5, 0) and (0, -0.33)

Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:

$x=5\\y=3$

7 0

3 years ago

Read 2 more answers

The cost of renting a moving van for a 26 mile trip is $62.50. the cost of renting the same van for a 38 mile trip is $65.50 The

Darya [45]

The difference between the 26 mile trip and 38 mile trip is 12 miles.
The difference in the price is $3.00 ($65.50 - $62.50)

So those 12 miles cost $3.00 $3.00÷12 = $.25 per mile

We can use either given trip to solve. I will use the 38 mile trip.
The difference between 38 miles and 54 miles is 16 miles. At $.25 a mile those 16 miles will add $4.00 to the price. ($.25 x 16 = $4.00)
Since the 38 mile trip costs $65.50 we add $4.00 and get $69.50 for a 54 mile trip.

5 0

3 years ago

Which graph represents this system?<br> answers below A.B.C or D first one is the system

hodyreva [135]

Answer:

Step-by-step explanation:

Both functions are the same Just find the value of y and you will get the same equation

Only A is correct

4 0

3 years ago

Denise and Jacqueline are training for a swimming and running race.

bezimeni [28]

Answer:

Jacqueline runs at 6.25 minutes per mile

Step-by-step explanation:

Here we have that the total training time for Jacqueline = 54 minutes

The time for which Jacqueline swims = 30 minutes

Therefore, the time in which Jacqueline runs = 54 min. - 30 min. = 20 minutes

Therefore the equation for Jacqueline's speed = Distance/Time we have

Jacqueline's pace = 3.2 miles/20 minutes = 0.16 miles/minute

Therefore Jacqueline's pace = 0.16 miles/minute

The equation for Jacqueline's pace in miles/minute is presented as follows

Jacqueline's pace in miles/minute = Time of running/Distance

Jacqueline's pace in miles/minute = 1/0.16 miles/minute = 6.25 minutes/mile.

5 0

3 years ago

The ages of Anjali and Aditya are in the ratio 3: 4.Eight years later sum

Maksim231197 [3]

Answer:

12 years and 16 years

Step-by-step explanation:

their ages are in the ratio 3 : 4

let Anjali = 3x and Aditya = 4x ← present ages

In 8 years then

Anjali = 3x + 8 and Aditya = 4x + 8, hence

3x + 8 + 4x + 8 = 44 ← sum of their ages in 8 years

7x + 16 = 44 ( subtract 16 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Anjali is 3x = 3 × 4 = 12 years old and Aditya = 4x = 4 × 4 = 16 years old

8 0

3 years ago