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3 years ago

In 5 days, Lan jogged a total of 15 miles. She jogged the same number of miles each day. How many miles did Lan jog each day?

Mathematics

1 answer:

Irina-Kira [14]3 years ago

5 0

75 miles

if u do 15x5 you will get 75 and that's how many miles you will get

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If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?

Ludmilka [50]

Answer:

Step-by-step explanation:

y = k*x This is the formula for a direct variation.

y = 20
x = 4 Substitute these values into the direct variation

20 = 4 * k Divide by 4

20/4 = 4k/4

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2 years ago

4)<br> Write an inequality for the graph below. If necessary, use<br> <= for < or >= for .

navik [9.2K]

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Answer:

y < -1/4x -1

Step-by-step explanation:

The boundary line appears to go through the points (-4, 0) and (0, -1). This tells you it has a "rise" of -1 for a "run" of 4. The slope is ...

m = rise/run = -1/4

The y-intercept (b) is the point where the y-axis is crossed. The slope-intercept equation of the boundary line is ...

y = mx + b

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y < -1/4x -1

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2 years ago

What is the slope of the line passing through the points (-3, 4) and (2, - 1)? A -1

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Answer:

Step-by-step explanation:

Calculate the slope m using the slope formula

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with (x₁, y₁ ) = (- 3, 4 ) and (x₂, y₂ ) = (2, - 1 )

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3 years ago

please show on graph (with x and y coordinates) state where the function x^4-36x^2 is non-negative, increasing, concave up

babunello [35]

Answer:

$y'' =12x^2 -72=0$

And solving we got:

$x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}$

We can find the sings of the second derivate on the following intervals:

$(-\infty$ Concave up

$x=-\sqrt{6}, y =-180$ inflection point

$(-\sqrt{6}$ Concave down

$x=\sqrt{6}, y=-180$ inflection point

$(\sqrt{6}$ Concave up

Step-by-step explanation:

For this case we have the following function:

$y= x^4 -36x^2$

We can find the first derivate and we got:

$y' = 4x^3 -72x$

In order to find the concavity we can find the second derivate and we got:

$y'' = 12x^2 -72$

We can set up this derivate equal to 0 and we got:

$y'' =12x^2 -72=0$

And solving we got:

$x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}$

We can find the sings of the second derivate on the following intervals:

$(-\infty$ Concave up

$x=-\sqrt{6}, y =-180$ inflection point

$(-\sqrt{6}$ Concave down

$x=\sqrt{6}, y=-180$ inflection point

$(\sqrt{6}$ Concave up

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2 years ago

In 5 days, Lan jogged a total of 15 miles. She jogged the same number of miles each day. How many miles did Lan jog each day?​

In 5 days, Lan jogged a total of 15 miles. She jogged the same number of miles each day. How many miles did Lan jog each day?