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3 years ago

Find the roots of the following polynomial equations: 1. y = 2x2 + 3x - 5

Mathematics

1 answer:

nydimaria [60]3 years ago

3 0

Answer:

Step-by-step explanation:

$y=2x^2+3x+5\\$

Using the quadratic formula:

$\frac{-3+-\sqrt{9-4(2)(5)}}{2(2)} = \frac{-3+-\sqrt{-31}}{4}$

Since the discriminant is negative, -31, there are no real roots

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Vedmedyk [2.9K]

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3 years ago

What is the greatest common factor of 16,32, and 44?

liubo4ka [24]

The greatest common factor of the three numbers is 4

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3 years ago

You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster? You jog faster. Your friend

Darya [45]

Answer:

a) Who jogs faster?

Your friend jogs faster because he jogs with a speed of 10.91 km/hr

Step-by-step explanation:

Speed = Distance(km)/Time(hours)

Question 2 How much sooner will the faster jogger finish a five-kilometer race?

Your friend's will finish a 5km race at a speed of 18.18 km/hr

Your speed is :

You jog 2 kilometers in 12 minutes.

Convert 12 minutes to hours

60 minutes = 1 hour

12 minutes = x

x = 12/60

x = 1/5 hour

Your speed is calculated as:

2km/1/5hour

= 2 km ÷ 1/5 hour

= 2 × 5

= 10 km/hr

Your friend's speed is calculated as:

Your friend jogs 3 kilometers in 16.5 minutes.

Convert 16.5 minutes to hours

60 minutes = 1 hour

16.5 minutes = x

x = 16.5/60

x = 0.275 hour

Your speed is calculated as:

3km/0.275 hour

= 10.909090909 km/hr

Approximately = 10.91km/hr

a) Who jogs faster?

Your friend jogs faster because he jogs with a speed of 10.91 km/hr

Question 2 How much sooner will the faster jogger finish a five-kilometer race?

Your friend jogs faster, hence:

3 km = 10.91 km/hr

5km = x

x = 5 × 10.91/3

x = 18.183333333 km/hr

Your friend's will finish a 5km race at a speed of 18.18 km/hr

4 0

3 years ago

vDetermine if a Poisson experiment is described, and select the best answer: Suppose we knew that the average number of typos in

goldenfox [79]

Answer:

probability that a randomly selected page that contains only text will contain no typos that is

P(x=0) = $e^{-0.08}$ = 0.923

Step-by-step explanation:

<u>Poisson distribution</u>:-

Explanation of the Poisson distribution :-

The Poisson distribution can be derived as a limiting case of the binomial

distribution under the conditions that

i) p is very small

ii) n is very large

ii) λ = np (say finite

The probability of 'r' successes = $\frac{e^{-\alpha }\alpha^r }{r!}$

Given the average number of typos ∝ = 0.08 per page.

probability that a randomly selected page that contains only text will contain no typos that is = $p(x=0) = \frac{e^{-0.08 }\(-0.08)^0 }{0!}$

After calculation P(x=0) = $e^{-0.08}$ = 0.923

probability that a randomly selected page that contains only text will contain no typos =0.923

5 0

3 years ago

X -(2x- 3x-4/7) = 4x -27/3 -3

RUDIKE [14]

RHS
=4x-27/0
=not defined=0

LHS
=x-2x+3x+4/7=2x+4/7=(14x+4)/7= 14x+4.

14x=-4

x=-4/14

X=-2/7

7 0

3 years ago

Read 2 more answers

Find the roots of the following polynomial equations: 1. y = 2x2 + 3x - 5​

Find the roots of the following polynomial equations: 1. y = 2x2 + 3x - 5