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katen-ka-za [31]
3 years ago
7

Which statement best describes the graph of this polynomial function f(x)=x^4+x^3-2x^2

Mathematics
1 answer:
jenyasd209 [6]3 years ago
3 0

Answer:

See below description.

Step-by-step explanation:

The function f(x) = x^4+x^3-2x^2 has the following characteristics:

  • Factors: x^2(x+2)(x-1)
  • Zeros/roots: x=0, x=-2, amd x=1
  • Positive leading coefficient
  • Graph starts up, curves down through -2 on the x-axis and back up to 0 where it touches and curves down and back up again again. It comes down back through 1 and crosses.
  • Its graph s the shape of a W.
  • It has minimum values at -2.83 and -0.397
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Find three consecutive even integers such that the sum of the smallest number and twice the middle number is 20 more than the la
motikmotik

Answer:

<h3>              10, 12, 14</h3>

Step-by-step explanation:

Consecutive even integers increase by 2.

x   ← an integer

2x  ← an even integer (the smallest)

2x+2   ← next even integer consecutive to 2x (the middle one)

2x+2+2=2x+4  ← the last even integer consecutive to 2x+2 (the largest)

2(2x+2)    ← twice the middle number

2x+2(2x+2)   ←  the sum of the smallest number and twice the middle

2x+4+20   ←  20 more than the largest number

2x + 2(2x + 2) = 2x + 4 + 20

2x + 4x + 4 = 2x + 24

            -4           -4

            6x = 2x + 20

         -2x       -2x

            4x = 20

            ÷2     ÷2

            2x = 10

2x+2 = 10+2 = 12

2x+4 = 10+4 = 14

6 0
3 years ago
What is the probability that 2 precedes 1 when we randomly select a permutation of {1, 2,. ,n} where n ≥ 4?
vivado [14]

The probability is 1/3.

Probability is sincerely how likely something is to show up. whenever we're unsure about the final results of an event, we will communicate about the probabilities of positive consequences—how probably they're. The evaluation of events governed by way of possibility is called information.

Probability is the branch of mathematics concerning numerical descriptions of ways likely an occasion is to arise, or how in all likelihood it's far that a proposition is actual. The opportunity of an event is more than a few among 0 and 1, wherein, kind of talking, zero suggests impossibility of the occasion and 1 shows the truth.

Chance = the wide variety of approaches to achieving achievement. the whole range of viable consequences. as an example, the opportunity of flipping a coin and its being heads are ½ because there may be 1 manner of getting a head and the overall wide variety of feasible results is two (a head or tail). We write P(heads) = ½.

Learn more about the Probability here brainly.com/question/24756209

#SPJ4

6 0
2 years ago
find three consective even integers such that the sum of the smallest number and twice the middle number is 20 more than the lar
olya-2409 [2.1K]
Okay I am going to need you to ignore this im only in 8th are you in collage?
3 0
3 years ago
SOMEBODY HELP ME <br> NO LNKS PLZ
julia-pushkina [17]
Write it out so I can help you!
6 0
3 years ago
Read 2 more answers
Simplify ((7+sin^2 theta+cos^2 theta)/(4sin^2 theta + 4cos^2 theta))
tino4ka555 [31]

Answer:

2

Step-by-step explanation:

\frac{7+sin^{2}\theta+cos^{2}\theta}{4sin^{2}\theta+4cos^{2}\theta}} = \frac{7+(sin^{2}\theta+cos^{2}\theta)}{4(sin^{2}\theta+cos^{2}\theta)}} =\frac{7+(1)}{4(1)}}=\frac{8}{4} =2

(sin^{2}\theta +cos^{2}\theta=1)\\

7 0
3 years ago
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