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3 years ago

6

Find the derivative dy, dx for y equals the quotient of the quantity x cubed minus 5 times x and the quantity x squared minus 1.

. Did I do this right.

1 answer:

Elza [17]3 years ago

7 0

Using the quotient rule

dy/dx = (x^-1) * (3x^2 -5 ) - (x^3 - 5x) * 2x
----------------------------------------------
(x^2 - 1)^2

You are correct

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A circle has an area of approximately 615 square millimeters. What is the diameter of the circle

noname [10]

Answer:

When using the given information, the diameter of the circle is going to be 28 mL.

Step-by-step explanation:

First, we need to know the formula for finding the area of a circle.

$Area=r^2\pi$

Now, we need to rearrange the formula so we can find the radius.

$Radius=\sqrt{\frac{A}{\pi} }$

Next, we plug in the given area into the equation.

$Radius=\sqrt{\frac{615}{\pi}}$

$Radius=\sqrt{196}$

$Radius=14$

Now that we have the radius, we can find the diameter. The radius is half the length of the diameter. So, in order to find the diameter, we have to multiply the radius by 2.

$14 * 2=28$

So, the diameter of the circle is 28 mL

3 0

3 years ago

Which graph represents the solution set of system of inequalities?

Elis [28]

$3y\geqx-9\qquad|:3\\\\y\geq\dfrac{1}{3}x-3\\\\3x+y > -3\qquad|-3x\\\\y > -3x-3$

$\left\{\begin{array}{ccc}y\geq\dfrac{1}{3}x-3\\\\y > -3x-3\end{array}\right$

$y=\dfrac{1}{3}x-3\\\\for\ x=0\to y=\dfrac{1}{3}(0)-3=-3\to(0,\ -3)\\\\for\ x=3\to y=\dfrac{1}{3}(3)-3=1-3=-2\to(3,\ -2)\\\\y=-3x-3\\\\for\ x=0\to y=-3(0)-3=-3\to(0,\ -3)\\\\for\ x=-1\to y=-3(-1)-3=3-3=0\to(-1,\ 0)$

$y\geq\dfrac{1}{3}x-3$

solid line. we shade above the line

$y > -3x-3$

the dotted line. shadow above the line

Answer in the attachment (the first graph).

5 0

3 years ago

Read 2 more answers

Travka [436]

It is the plus minus sign. It means to do the addition and subtraction.

Examples:

10 <span>± 7 = 17 and 3

15 </span><span>± 5 = 20 and 10

100 </span><span>± 90 = 190 and 10

It is generally used to indicate a possibility of two outcomes. A negative or positive outcome.</span>

6 0

3 years ago

The Yoga class you wish to take is offering two price quotes: $120 for 5 weeks as (15 classes) or $160 for 8 weeks (24 classes).

True [87]

The answer is B $1.05

3 0

3 years ago

The equation t= 13p + 108 can be used to estimate the cooking time t in

Setler [38]

Answer:

Step-by-step explanation:

(285)=13p+108

177=13p

p= 13.62 lbs

4 0

3 years ago