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3 years ago

What is the slope of the function, represented by the table of values below?

Mathematics

2 answers:

alexira [117]3 years ago

7 0

Answer:

-4

Step-by-step explanation:

The slope is given by

m = (y2-y1)/( x2-x1)

= ( 13-5)/(-2 -0)

= 8/-2

= -4

Dvinal [7]3 years ago

5 0

Answer:

-4

Step-by-step explanation:

To find the slope we need to use the expression

$\frac{y2-y1}{x2-x1}$

For that, we need 2 coordinates

Let's use (0, 5) and (3, -7)

When you plug that in you get 5+7/0-3

When you answer it you should get -4

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3 years ago

assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28

melomori [17]

Given:

x and y are both differentiable functions of t.

$4x^2+3y^3=28$

$x=-1\text{ and }\dfrac{dy}{dt}=8$

To find:

The value of $\dfrac{dx}{dt}$ .

Solution:

We have,

$4x^2+3y^3=28$ ...(i)

At x=-1,

$4(-1)^2+3y^3=28$

$4+3y^3=28$

$3y^3=28-4$

$3y^3=24$

Divide both sides by 3.

$y^3=8$

Taking cube root on both sides.

$y=2$

So, y=2 at x=-1.

Differentiate (i) with respect to t.

$4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0$

Putting x=-1, y=2 and $\dfrac{dy}{dt}=8$ , we get

$4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0$

$-8\dfrac{dx}{dt}+9(4)(8)=0$

$-8(\dfrac{dx}{dt}-9(4))=0$

Divide both sides by -8.

$\dfrac{dx}{dt}-36=0$

$\dfrac{dx}{dt}=36$

Therefore, the value of $4x^2+3y^3=28$ is 36.

6 0

3 years ago

Solve and check.

notsponge [240]

The Answer To Your Question Is D 64

6 0

3 years ago

Read 2 more answers

Please help I put 50 points

Yuri [45]

Answer:

y = x+7

Step-by-step explanation:

Assuming all of these numbers are ordered pairs (coordinates) when x is 1 y is 8, when x is 2 y is 9 and so on. If you notice y is going up by 1 every time so it follows that the starting point (y intercept) must be 7. Therefore, our equation will be y = x + 7.

Test it out:

Let x =2

y = 2 + 7 = 9 This matches our coordinate (2,9) so it's correct.

Let x =4

y = 4 + 7 = 11 This matches our coordinate (4,11) so it's correct.

Feel free to try out the rest of the coordinates, but usually 2 is enough to confirm that your equation is correct.

3 0

3 years ago

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