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2 years ago

What type of function is f(x) = 2x³ - 4x² + 5? O Exponential O Logarithmic O Polynomial O Radical

Mathematics

1 answer:

RideAnS [48]2 years ago

7 0

Answer:

Polynomial

Step-by-step explanation:

⇒ It cannot be option 1 as y does not vary with an exponent

⇒ It cannot be option 2 as y does not relate to any logarithmic values of x

⇒ It cannot be a option 4 as there no irrational numbers under a root

⇒ Therefore it is a polynomial, as it is written in the form : <u>y = ax³ + bx² + cx + d</u> (cubic polynomial)

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Jori is two years older than sage but four years younger than Victoria sage is three years less than a score how old is Sage

lisabon 2012 [21]

Answer:

Sage is 17 years young.

Step-by-step explanation:

A score is referring to 20 of something.

It says Sage is 3 years younger than a score.

20-3=17

3 0

3 years ago

A research team conducted a study showing that approximately 15% of all businessmen who wear ties wear them so tightly that they

Helen [10]

Answer:

a) 0.913

b) 0.397

c) 0.087

Step-by-step explanation:

We are given the following information:

We treat wearing tie too tight as a success.

P(Tight tie) = 15% = 0.15

Then the number of businessmen follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

We have to evaluate:

a) at least one tie is too tight

$P(x \geq 1) = P(x = 1) +....+ P(x = 15)\\=1 - P(x = 0)\\= 1 - \binom{15}{0}(0.15)^0(1-0.15)^{15}\\=1 - 0.087\\= 0.913$

b) more than two ties are too tight

$P(x > 2) = P(x = 3) +....+ P(x = 15)\\=1 - P(x = 0) - P(x=1) - P(x=2)\\= 1 - \binom{15}{0}(0.15)^0(1-0.15)^{15}-\binom{15}{1}(0.15)^1(1-0.15)^{14}-\binom{15}{0}(0.15)^2(1-0.15)^{13}\\=1 - 0.087 - 0.231 - 0.285\\= 0.397$

c) no tie is too tight

$P(x = 0)\\=\binom{15}{0}(0.15)^0(1-0.15)^{15}\\=0.087$

d) at least 18 ties are not too tight

This probability cannot be evaluated as the number of success or the failures exceeds the number of trials given which is 15.

The probability is asked for 18 failures which cannot be evaluated.

8 0

4 years ago

Due in 5 mins please help me!

Alchen [17]

Answer:

Step-by-step explanation:

7 0

3 years ago

Which of the following is not a Pythagorean triple?

Vinil7 [7]

Answer: D,(11,61,62)

Step-by-step explanation:28,45,53

53²=28²+45²

2,809= 784+2,025

= 2,809

53²=2,809

(28,45,53) is a Pythagorean triple

16,63,65

65²=16²+63²

4225=256+3969

= 4225

65²=4225

(16,63,65) is a Pythagorean triple

13,84,85

85²=13²+84²

7225=169+7056

=7225

85²=7225

(13,84,85) is a Pythagorean triple

11,61,62

62²=11²+61²

3,844=121+3,721

=3,842

62²=3,844

(11,61,62) is not a Pythagorean triple

4 0

3 years ago

Question 8: The equation of motion of a particle is

lawyer [7]

Answer:

D) $22\:\text{m/s}^2$

Step-by-step explanation:

Acceleration is the derivative of velocity, which is the derivative of position, so we must differentiate the function twice:

Position of Particle: $s(t)=t^3-4t^2+2t+8$

Velocity of Particle: $v(t)=3t^2-8t+2$

Acceleration of Particle: $a(t)=6t-8$

After $t=5$ seconds, the acceleration of the particle is $a(5)=6(5)-8=30-8=22\:\text{m/s}^2$

4 0

3 years ago

What type of function is f(x) = 2x³ - 4x² + 5? O Exponential O Logarithmic O Polynomial O Radical​

What type of function is f(x) = 2x³ - 4x² + 5? O Exponential O Logarithmic O Polynomial O Radical