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julia-pushkina [17]
3 years ago
9

I don’t understand the polynomials

Mathematics
1 answer:
Serhud [2]3 years ago
7 0
Polynomial comes from poly- (meaning "many") and -nomial (in this case meaning "term") ... so it says "many terms"

A polynomial can have:

constants (like 3, −20, or ½)
variables (like x and y)
exponents (like the 2 in y2), but only 0, 1, 2, 3, ... etc are allowed
that can be combined using addition, subtraction, multiplication and division ...

... except ...

... not division by a variable (so something like 2/x is right out)

So:

A polynomial can have constants, variables and exponents,
but never division by a variable.

Also they can have one or more terms, but not an infinite number of terms.

These are polynomials:

3x
x − 2
−6y2 − ( 79 )x
3xyz + 3xy2z − 0.1xz − 200y + 0.5
512v5 + 99w5
5
(Yes, "5" is a polynomial, one term is allowed, and it can be just a constant!)



These are not polynomials

3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)
2/(x+2) is not, because dividing by a variable is not allowed
1/x is not either
√x is not, because the exponent is "½" (see fractional exponents)


But these are allowed:

x/2 is allowed, because you can divide by a constant
also 3x/8 for the same reason
√2 is allowed, because it is a constant (= 1.4142...etc)
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What can you say about the y-values of the two functions f(x)=3^(x)-3 g(x)=7x^2-3
Mice21 [21]

Answer: g(x) has the smallest possible y-value of -3

<u>Step-by-step explanation:</u>

f(x) = 3ˣ - 3   <em>This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.</em>

Range: y > 3   (-3, ∞)

   g(x) = 7x² - 3  

⇒ g(x) = 7(x - 0)² - 3   <em>This is a parabola with vertex at (0, -3) </em>

Range: y ≥ 3   [-3, ∞)



5 0
3 years ago
Read 2 more answers
Rafael counted a total of 40 white cars and yellow cars there are nine times as many white cars as yellow cars how many white ca
natta225 [31]
The answer probably 16 I don't really know
5 0
3 years ago
Geometric mean <br> Pls help thank u
quester [9]

Answer:

Step-by-step explanation:

1). Geometric mean of a and b = \sqrt{a\times b}

   Therefore, geometric mean of 2 and 50 = \sqrt{2\times 50}

                                                                       = 10

2). By geometric mean theorem,

   \frac{JM}{KM}=\frac{KM}{ML}

   \frac{6}{e}=\frac{e}{24}

   e² = 6 × 24

   e = √144

   e = 12

  Similarly, \frac{JL}{KJ}=\frac{KJ}{JM}

   \frac{6+24}{d}=\frac{d}{6}

   d² = 6 × 30

   d = √180

   d = 6√5

   And \frac{JL}{KL}=\frac{KL}{ML}

   \frac{6+24}{c}=\frac{c}{24}

   c² = 30 × 24

   c = √720

   c = 12√5

3 0
3 years ago
Can someone pls help me<br> Pls
lora16 [44]

Answer:

help u with what? Say what u need

5 0
2 years ago
Haley works at a candy store. There are 10 types of bulk candy. Find the probability that one type of candy will be chosen more
DIA [1.3K]

Answer:

Probability that one type of candy will be chosen more than once in 10 trials = 0.2639

Step-by-step explanation:

This is a binomial experiment because

- A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.

- It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure. (10 trials, with the outcome of each trial being that we get the required candy or not)

- The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 10 trials

x = Number of successes required = number of times we want to pick a particular brand of candy = more than once, that is > 1

p = probability of success = probability of picking a particular brand of candy from a bulk with 10 different types of candies = (1/10) = 0.10

q = probability of failure = Probability of not picking our wanted candy = 1 - p = 1 - 0.1 = 0.90

P(X > 1) = 1 - P(X ≤ 1)

P(X ≤ 1) = P(X = 0) + P(X = 1)

P(X = 0) = ¹⁰C₀ (0.10)⁰ (0.90)¹⁰⁻⁰ = 0.3486784401

P(X = 1) = ¹⁰C₁ (0.10)¹ (0.90)¹⁰⁻¹ = 0.387420489

P(X ≤ 1) = 0.3486784401 + 0.387420489 = 0.7360989291

P(X > 1) = 1 - 0.7360989291 = 0.2639010709 = 0.2639

Hope this Helps!!!

5 0
3 years ago
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