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exis [7]
3 years ago
10

What is the rate of change of the line on the graph below?

Mathematics
2 answers:
artcher [175]3 years ago
7 0
Yes she is right!!!!!
Whitepunk [10]3 years ago
5 0
The rate of change on the line is x line goes to the right and y line goes upward
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How many different 6-digit numbers can be formed by arranging the digits in 332345?
Feliz [49]

Answer- 120

Solution-

There are digits to be arranged,they are {3,3,2,3,4,5}. And from those ,3 digits are repeated .

so the total number of distinct number that can be formed = \frac{6!}{3!} = \frac{720}{6} = <em>120</em><em> </em>(ans)


7 0
3 years ago
For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th
alexira [117]

Answer:

The inner function is h(x)=4x^2 + 8 and the outer function is g(x)=3x^5.

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

Step-by-step explanation:

A composite function can be written as g(h(x)), where h and g are basic functions.

For the function f(x)=3(4x^2+8)^5.

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have 4x^2+8 inside parentheses. So h(x)=4x^2 + 8 is the inner function and the outer function is g(x)=3x^5.

The chain rule says:

\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)

It tells us how to differentiate composite functions.

The function f(x)=3(4x^2+8)^5 is the composition, g(h(x)), of

     outside function: g(x)=3x^5

     inside function: h(x)=4x^2 + 8

The derivative of this is computed as

\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

3 0
3 years ago
What are the solutions for x when y is equal to 0 in the following quadratic
Scrat [10]

Answer: Option C

Step-by-step explanation:

Given the quadratic equation y = x^2 - 13x, substitute y=0:

 0 = x^2 - 13x

In this case, to find the solutions of the given quadratic equation, you must factor out the variable "x". Then:

0=x(x-13)

Therefore, you get that the solutions of this equation are the following:

x=0\\\\\\x-13=0\\x=13

Then, the answer is:

x = 0\ or\ x = 13

This matches with the option C.

5 0
3 years ago
Solve by elimination -2x+2y=6 and 4x×2y=-5
Valentin [98]

Answer:

x=-11/6, y=7/6. (-11/6, 7/6).

Step-by-step explanation:

-2x+2y=6

4x+2y=-5

-----------------

2(-2x+2y)=2(6)

4x+2y=-5

----------------------

-4x+4y=12

4x+2y=-5

----------------

6y=7

y=7/6

4x+2(7/6)=-5

4x+14/6=-5

4x=-5-14/6

4x=-30/6-14/6

4x=-44/6

x=(-44/6)/4

x=(-44/6)(1/4)

x=-44/24

simplify

x=-11/6

3 0
3 years ago
Given -3x + 2y = 1 and x = 5, solve for y.<br><br> a.-7<br><br> b.7<br><br> c.-8<br><br> d.8
eduard

Answer:

d. 8

Step-by-step explanation:

Given: -3x + 2y = 1 and x = 5

Now plug x =5 in the given equation and find the value of y.

-3(5) + 2y = 1

-15 + 2y = 1

2y = 1 + 15

2y = 16

Dividing both sides by 2, we get

y = 8

Thank you.


7 0
3 years ago
Read 2 more answers
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