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3 years ago

What is the discontinuity of the function f(x) = the quantity of x squared minus 3 x minus 28, all over x plus 4?

1 answer:

8 0

For the answer to the question above,
You get discontinuity when in this function you divide by 0. You will divide by 0 if x+4 = 0. That means that x = -4

y value for this example doesn't matter because for x = -4 you will have the discontinuity. Since the only answer that has -4 as x value is D, that has to be the solution.

So the answer is (-4,-11)

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Could someone explain this to me?

Ilya [14]

This is a simple differentiation problem. Let's start by taking the derivative of both sides (with respect to x):
$5y^4\frac{dy}{dx}+6y^2x+6x^2y\frac{dy}{dx}+20x^3 = 0$

Simplify:
$\frac{dy}{dx} (5y^4+6x^2y) + 6y^2x+20x^3 = 0$

Solve for dy/dx:
$\frac{dy}{dx} = \frac{-6y^2x-20x^3}{5y^4+6x^2y}$

Now, plug in the given points:
$\frac{dy}{dx} = \frac{-6(2)^2(-1)-20(-1)^3}{5(2)^4+6(-1)^2(2)} = \frac{24+20}{80+12}$

Further simplification gives:
$\frac{dy}{dx}|_{(2,-1)} =\frac{44}{92} = \frac{11}{23}$

So, your answer is 11/23 or B.

7 0

4 years ago

Jose worked n hours at $8.75 per hours. He made $61.25.Which expression represents the total number of hour jose worked?

mariarad [96]

Answer:

8.75n = 61.25

Step-by-step explanation:

We multiply n, number or hours, times how much he makes per hour.

Therefore, it is 8.75n = 61.25

Hope this helps :)

8 0

3 years ago

if you spin the spinner twice what is the probability that it will land on an even number both times

Whitepunk [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

I need help its confusing and i need it fast thank you

Savatey [412]

Answer:

Hey dude!

The answer is

area of triangle AED= $\frac{1}{2}$ AE x DE

How I got this answer:-

Area of a triangle is $\frac{1}{2}$ base x altitude.

Here, the base of the triangle is DE

And its altitude is AE

Hence, the area would be:-

$\frac{1}{2}$ AE x DE

4 0

3 years ago

Solve distance 120 meters time 30 seconds

lana66690 [7]

Answer:

4 meters per second

Step-by-step explanation:

120 divided by 30 = 4

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3 years ago