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3 years ago

Describe the end behavior of the following function: f(x)=7x^2-3x^2-6

Mathematics

1 answer:

Savatey [412]3 years ago

4 0

We are given function : f(x)=7x^3-3x^2-6.

We need to describe the end behavior of the given function.

In order to describe end behavior of a function we need to find the degee and leading coefficient of the given function.

Degree of the given function is the maximum power of the exponent.

We have x^3, there.

Therefore, degree of the given function is : 3 an odd degree and

Leading coefficient is : 7 a positive number.

<em>According to end behavior rule, when degree is an odd degree and leading coefficient is a positive number the f(x) would be of same sign as x.</em>

Therefore end behavior would be

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Suppose you have 60 red marbles and 40 blue marbles in a

andrew-mc [135]

Answer: The required probability is 0.26.

Step-by-step explanation: Given that there are 60 red marbles and 40 blue marbles in a box 10 marbles are picked without replacement.

We are to find the probability of selecting 6 red marbles.

Since the marbles are picked up without replacement, so it is a situation of combination.

Let S denote the sample space of the experiment of drawing 10 marbles and E denote the event that 6 marbles are red.

So,

$n(S)=^{100}C_{10}=\dfrac{100!}{10!(100-10)!}=\dfrac{100!}{10!90!}=17310309456440,\\\\\\n(E)=^{60}C_6\times^{40}C_4=\dfrac{60!}{6!54!}\times\dfrac{40!}{4!36!}=50063860\times91390.$

Therefore, the probability of event E is given by

$P(E)=\dfrac{n(E)}{n(S)}=\dfrac{50063860\times91390}{17310309456440}=0.26.$

Thus, the required probability is 0.26.

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2 years ago

There are 128 competitors in a tennis tournament. If Milo places in the 85th percentile, how many people

Zarrin [17]

Answer: A

Explanation: multiply 128 by .85

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2 years ago

PLZ HELP WILL MARK BRANLIEST (No dum answers or I will delete your question - seriously don't be annoying)

Vsevolod [243]

Answer:

A. tan(2π/3) = $-\sqrt{3}$

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2 years ago

What equation represents a line that is parallel to y=3X +5

Lina20 [59]

A line that is parallel to another line will have the same slope, in our case, the slope of 3. Therefore, we can just change the y-intercept to create any line parallel to y=3x+5 (just remember to keep the slope the same). For example, y=3x+5, y=3x-9, and y=3x+6.2 are all equations that are parallel to y=3x+5.

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3 years ago

PLEASE HELP ME! Find the cube roots of 125(cos 288° + i sin 288°).

shutvik [7]

◆ COMPLEX NUMBERS ◆

125 ( cos 288 + i sin 288 ) can be written as -

125.e^i( 288)
125.e^i( 288 +360 )
125.e^i( 288+ 720)

[ As , multiples of 360 can be added to an angle without changing any trigonometric functions or sign ]

To find the cube root , take the cube root of above 3 expressions ,

We get -
5 e^( i 96 )
5 e^( i 216 )
5 e^( i 336 )

Now using Euler's formula , We rewrite above as -

5 ( cos 96 + i sin 96 )
5(c os 216 + i sin 216 )
5 ( cos 336 + i sin 336 ) Ans.

6 0

3 years ago