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3 years ago

The table below shows the x variable for a table. Choose a corresponding y table that will create a direct variation.

Mathematics

1 answer:

lana [24]3 years ago

3 0

We can't see a table take a picture of the table so we can understand better

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Say you go kayaking over a 2 mile stretch of river. The river is flowing at a speed of 1mph. You go 2 miles upstream, and then 2

igomit [66]

Answer:

my average speed = 4 miles per hour (4 mph)

Step-by-step explanation:

Extracting the key information from the question:

*** I went kayaking over a 2mile stretch of river.

*** I went 2 miles upstream

*** I also went 2 miles downstream back to origin.

*** I am only required to complete my average speed if the round trip took 1 hour.

The total distance that was covered in the round trip (my upstream and downstream journeys) is:

= 2 miles [upstream] + 2 miles [downstream].

= 4 miles for the round trip.

Again, we were informed that I spent 1 hour going upstream and downstream.

This means that the round trip time = 1 hour.

Average speed is simply = total distance covered/total time taken

Here, total distance covered = 4 miles.

Total time taken = 1 hour

Average speed = 4 miles/1 hour = 4 miles per hour

3 0

4 years ago

What is 1/4(8+x+4) simplified using the distributive property

Nana76 [90]

1/4(12 + x)
3 + 1/4x
The solution is 3 + 1/4x

7 0

3 years ago

Read 2 more answers

17. Divide using synthetic division, and write a summary statement in fraction form.

MaRussiya [10]

<h3>Answer:</h3>

17. 2x^4 + x^3 + x^2 + 4x + 3 + 8/(x -1)

18. x = 2, x = -2

19. The slant asymptote is y = x + 14

<h3>Explanation:</h3>

17. See the first attachment for the synthetic division. The summary statement is the expression represented by the result.

18. The denominator is the difference of two squares, so is readily factored to ...

... (x -2)(x +2)

The zeros of this product are the locations of the vertical asymptotes of f(x). They are ...

... x = 2, x = -2.

19. Dividing the numerator by the denominator (using synthetic division, if you like) gives the result ...

... f(x) = x + 14 + 104/(x -8)

The linear expression y=x+14 defines the end behavior when x gets large. That is, it is the slant asymptote of the function. See the second attachment for a graph.

(There will be a horizontal asymptote only when the degrees of numerator and denominator are the same. In this case, they are not.)

7 0

3 years ago

What is 287 divided by 2? Please show the work.

Rzqust [24]

287/2 is 143.5 This is a picture of how it's solved

4 0

3 years ago

Find the exact roots of x²-2x-10=4x

BARSIC [14]

Answer:

$x = 3 - \sqrt{19} \: \: or \: \: x = 3 + \sqrt{19}$

Step-by-step explanation:

The given equation is

${x}^{2} - 2x - 10 = 4x$

We group the linear terms to get:

${x}^{2} - 2x - 4x - 10 = 0$

${x}^{2} - 6x - 10 = 0$

We compare to

$a {x}^{2} + bx + c = 0$

This means

a=1, b=-6 and c=-10

We plug in the values into the quadratic formula:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a}$

This gives us

$x = \frac{ - -6 \pm \sqrt{ {( - 6)}^{2} - 4 \times 1 \times - 10 } }{2 \times 1}$

$x = \frac{ 6 \pm \sqrt{ 36 + 40 } }{2}$

$x = \frac{ 6 \pm \sqrt{76 } }{2}$

$x = \frac{ - 6 \pm 2\sqrt{19} }{2}$

$x = 3 \pm \sqrt{19}$

The solutions are

$x =3 + \sqrt{19}$

$x = 3 - \sqrt{19}$

7 0

3 years ago