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3 years ago

Find the roots of 2x2-5x+9=0

Mathematics

1 answer:

andrew11 [14]3 years ago

6 0

Step-by-step explanation:

2×2-5x+9=0

4+9-5x=0

13-5x=0

√(13-5x)^2 =0

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Five more than x is less than 8 or x minus 3 is greater than 5.

GuDViN [60]

Answer: 8=x+5, x-3=5

Step-by-step explanation: Find the value of ‘x’ by subtracting 5 in the first equation. Add 3 to the second equation.

6 0

2 years ago

At a time denoted as t=0, a student carrying a new flu virus comes back to an isolated campus that has a fixed number of 1000 pe

Varvara68 [4.7K]

Answer:

$\dfrac{dx(t)}{dt} = kx(t)[1000-x(t)],$ x(0)=0$

Step-by-step explanation:

Total Number of People on Campus =1000

Let the number of people who have contracted the flu =x(t)

Therefore, the number of people who have not contracted the flu =1000-x(t)

Since the rate at which the disease spreads is proportional to the number of interactions between the people who have the flu and the number of people who have not yet been exposed to it.

$\dfrac{dx(t)}{dt} \propto x(t)[1000-x(t)]$

Introducing the proportional constant k, we obtain:

$\dfrac{dx(t)}{dt} = kx(t)[1000-x(t)]$

At t=0, there was no infected on the campus, therefore the initial condition is given:

$x(0)=0$

Therefore, a differential equation for the number of people x(t) who have contracted the flu is:

$\dfrac{dx(t)}{dt} = kx(t)[1000-x(t)],$ x(0)=0$

6 0

2 years ago

Hannah read a total of 798 pages over 6 hours. After a total of 36 hours of reading this week, how many pages will Hannah have r

Vika [28.1K]

Answer: 4788 pages

Step-by-step explanation:

798/6 hours

798 divided by 6 equals 133. Meaning Hannah read 133 pages in 1 hour. So divide the unit rate by 36. 133 x 36 = 4788 pages in 36 hours.

6 0

2 years ago

Find the miing value in the ratio table. Then write the equivalent ratio. Plum 14 42 Grape 7 3 24 The equivalent ratio are 14 :

denis-greek [22]

The equivalent ratio is 8 : 4.

And the missing values are as follows 21, 6 and 48.

Complete table be,

Plum 14 42 6 48

Grape 7 21 3 24

Given, a ratio table

Plum 14 42 __ __

Grape 7 __ 3 24

we have to find the missing values and the equivalent ratios.

in the first ratio,

Plum : Grape = 14 : 7 = 2 : 1

Now, in the second ratio,

2 : 1 = 42 : __

x = 21

Now, in the third ratio,

2 : 1 = __ : 3

x = 6

Now, in the forth ratio,

2 : 1 = __ : 24

x = 48

So, the equivalent ratio is 8 : 4.

And the missing values are as follows 21, 6 and 48.

Hence, the equivalent ratio is 8 : 4.

And the missing values are as follows 21, 6 and 48.

Complete table be,

Plum 14 42 6 48

Grape 7 21 3 24

Learn more about Ratios and Proportions here brainly.com/question/26974513

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4 0

7 months ago

Find all polar coordinates of point p where p = ordered pair 5 comma pi divided by 3.

Aleonysh [2.5K]

Find all polar coordinates of point p where p = ordered pair 5 comma pi divided by 3.

The polar coordinate of any point can be written as:

(r, θ) = (r, θ + 2nπ) --> when positive

(r, θ) = [ - r, θ + (2n + 1)π ] --> when negative

where n is any integer.

The polar coordinates of this given point P is: P = (r, θ) = (5, π/3).

When the value of r is positive, the polar coordinate is written as P= (5, π/3) = (5, π/3 + 2nπ)

where n is any integer.

When the value of r is negative, the polar coordinate is written as P = (5, π/3) = [ - 5, π/3 + (2n + 1)π] where n is any integer.

Therefore all polar coordinates of point P are (5, π/3 + 2nπ) and [ - 5, π/3 + (2n + 1)π ].

7 0

2 years ago