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kirza4 [7]
3 years ago
9

Use the following graph of the function f(x) = −3x4 − x3 + 3x2 + x + 3 to answer this question: graph of negative 3 x to the fou

rth, minus x cubed, plus 3 x squared, plus x plus 3 What is the average rate of change from x = 0 to x = 1?
Mathematics
1 answer:
Serggg [28]3 years ago
7 0

Answer:

The average rate of change from x=0 to x=1 for f(x) is 0.

Step-by-step explanation:

We are given the function f(x)=-3x^{4}-x^{3}+3x^{2}+x+3.

Now, the rate average rate of change of a function from y=x_{1} to y=x_{2} is given by \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}.

As, we need the rate of change from x = 0 to x = 1.

So, we will find the values of f(0) and f(1).

i.e. f(0)=-3\times0^{4}-0^{3}+3\times0^{2}+0+3 i.e. f(0)  = 3

and f(1)=-3\times1^{4}-1^{3}+3\times1^{2}+1+3 i.e. f(1)=-3-1+3+1+3 i.e. f(1) = 3

Thus, the rate of change from x=0 to x=1 is \frac{f(1)-f(0)}{1-0} i.e.  \frac{3-3}{1-0} i.e. 0

Hence, the average rate of change from x=0 to x=1 for f(x) is 0.

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sukhopar [10]

Answer:

1. He traveled 3/ 10 by  train

2. 3/4 is the greatest

Step-by-step explanation:

3/ 10 = Iorry

2/5 = taxi

? = train

2=4

5=10

4+ 3 = 7

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15/20

17/20

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3 years ago
Help geometry ………ignore this i need 20 words
Anarel [89]

Answer:

The answer is 1

Step-by-step explanation:

5 0
1 year ago
The angle marked a = 146 Work out the angle marked x.​
notka56 [123]

Answer:

<h2>34 degrees</h2>

Basic facts:

<em>Corresponding angles are sometimes known as 'F' angles.</em>

angles in a straight line add up to 180

Step-by-step explanation:

To find the other side of <em>a</em> we follow the Basic fact annd do

180-146

=34

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5 0
2 years ago
Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of
Luda [366]

Answer:

  • 0.5 + 2.985i
  • 1 + 2.828i
  • 1.5 + 2.598i
  • 2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

  • |C| = \sqrt{a^2+b^2}

Then, the work consists in finding pairs (a,b) for which:

  • \sqrt{a^2+b^2}=3

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}

I will use b =0.5, b = 1, b = 1.5, b = 2

b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236

Then, four distinct complex numbers that have an absolute value of 3 are:

  • 0.5 + 2.985i
  • 1 + 2.828i
  • 1.5 + 2.598i
  • 2 + 2.236i
4 0
3 years ago
I need help like really bad in the next 10 mins or I fail math please help me-
shutvik [7]
The answer should be 16!!
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2 years ago
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