The table shows how the time it takes a train to travel between two cities depends on its average speed. The table shows how the time it takes a train to travel between two cities depends on its average speed Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour? What does the number 160 represent in the rational function that models the situation? distance, in miles, between the cities amount of fuel, in gallons, used by the train time, in minutes, needed to travel between the cities

Answer:

is that a question?????????????

Your first differential equation is incomplete, so I'll just look at the second one.

y' + 2xy = 4x

Multiply both sides by exp(x ²):

exp(x ²) y' + 2x exp(x ²) y = 4x exp(x ²)

The left side is the derivative of a product:

(exp(x ²) y )' = 4x exp(x ²)

Integrate both sides:

exp(x ²) y = ∫ 4x exp(x ²) dx

For the integral, substitute u = x ² and du = 2x dx :

exp(x ²) y = 2 ∫ exp(u) du

Solve for y :

exp(x ²) y = 2 exp(u) + C

exp(x ²) y = 2 exp(x ²) + C

y = 2 + C exp(-x ²)

Answer:

22/ b hope this helps

Step-by-step explanation:

Answer:

-3/7

Step-by-step explanation:

To find the slope use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 1-4)/(4 - -3)

   = (1-4)/(4+3)

   = -3/7

Answer:

slope = - 3/7

step-by-step explanation:

we have two points which are (-3,4) and (4,1).

To find the slope of line , use the slope formula which is

m = ( y² - y¹ ) / ( x² - x¹)

Where,

substitute the values

m = ( 1 - 4 ) / ( 4 - ( - 3 ))

m = -3 / 7

Hence, slope is -3/7.

Answer:

5/8

Step-by-step explanation:

First, find how many slices are yellow or blue.

There are 2 yellow slices and 3 blue slices, so 5 of them are either yellow or blue.

There is a total of 8 slices.

So, the probability that it will stop on a yellow or blue slice is 5/8.

Answer:

[tex]6x^2-x+15[/tex]

Step-by-step explanation:

(3x + 5)(2x - 3) = [tex]6x^2-9x+10x-15=6x^2+x-15[/tex]

Answer:

l=15

Step-by-step explanation:

let length=l

width=w

l=3w-2

w=(l+2)/3

Perimeter P=2(l+w)=2[l+(l+2)/3]=2(4l+2)/3≤43

2(4l+2)≤129

8l+4≤129

8l≤125

l≤125/8

so l=15

________________

P=2(l+w)=2(3w-2+w)=8w-4≤43

8w≤47

w≤47/8

l≤141/8-2

l≤125/8

l=15

Answer:

$200 each.

Step-by-step explanation:

You are sharing the $600 bonus with 2 of your kids, meaning that the money will be evenly divided between 3 people. Divide the total amount of money with the total amount of people:

$600/3 persons = $200/person

Each person obtains $200.

~

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but a similar question is attached and solved.

An augmented matrix is a matrix obtained by appending the columns of two given matrices. The augmented matrix can be represented as:

[tex]\left[\begin{array}{ccc}2&5&3\\4&7&2\\6&9&4\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}-1\\10\\-6\end{array}\right] \\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2&5&3\\4&7&2\\6&9&4\end{array}\right] ^{-1}\left[\begin{array}{c}-1\\10\\-6\end{array}\right] \\\\\\[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-5/9&-7/18&11/18\\2/9&5/9&-4/9\\1/3&-2/3&1/3\end{array}\right] \left[\begin{array}{c}-1\\10\\-6\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-7\\8\\-9\end{array}\right][/tex]

z = -9

Answer:

Yes, they do

Step-by-step explanation:

Because

6+8=14>9

6+9=15>8

8+9=17>6

Try this solution, note the answer is marked with green colour.

Answer:

[tex]y \ge \frac{4x-1}{5}[/tex]

Step-by-step explanation:

Given

[tex]4x - 5y \le 1[/tex]

Required

Solve for y

[tex]4x - 5y \le 1[/tex]

Subtract 4x from both sides

[tex]- 5y \le 1-4x[/tex]

Divide both sides by -5 (the inequality sign changes)

[tex]y \ge \frac{1- 4x}{-5}[/tex]

[tex]y \ge \frac{4x-1}{5}[/tex]

Answer:

7, 11, 13, 17, 19 and 23

Step-by-step explanation:

Answer:

7,11,13,17,23

hope it helps

thank you

Answer:

A Rational numbers

B Integers

Answer:

a

Step-by-step explanation:

I believe it is answer a. the helicopter is the distance in the air that it is cruising and the angle is how it has to begin its decent down to the fireman

Answer: 8 is the value for y.

since x=16 as answered in the previous question, then 10x-3+(3y-1)=180 being in a straight line.

Answer:

1628.89

2593.74

2653.30

Because the interest forms an exponential function. This means that the amount of interest earned in each period is increasing and should therefore be more than double.

Step-by-step explanation:

A: 1000*(1.05)¹⁰= 1628.89

B: 1000(1.1)¹⁰= 2593.74

C: 1000(1.05)²⁰= 2653.30

D: Because the interest forms an exponential function. This means that the amount of interest earned in each period is increasing and should therefore be more than double.

Answer:

range is 6

Step-by-step explanation:

The smallest number in this data set is 1 mile, the largest is 7 miles

the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6

Answer:

Letter A

Step-by-step explanation:

Hope this helps

Answer:

its A

Step-by-step explanation:

Step-by-step explanation:

-6 + 4a = 18

4a= 24

a=6

!!!!!!!!!!!!

Answer:

OC) 6

Step-by-step explanation:

Transpose -6 to the other side

-6 + 4a = 18

4a = 18+6

4a = 24

a = 6

Answer:

8 - (p - 4)

Step-by-step explanation:

8 - (p - 4)

Answer:

cos theta = 4/5

Step-by-step explanation:

Since this is a right triangle

Cos theta = opp side/ hypotenuse

Cos theta = 8/10

cos theta = 4/5

Answer:

-3/2

Step-by-step explanation:

The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.

9514 1404 393

Answer:

  1800°

Step-by-step explanation:

The interior angles of a convex polygon with n sides have the sum ...

  angle sum = (n -2)×180°

For the 12-sided dodecagon, the angle sum is ...

  angle sum = (12 -2)×180° = 1800°

Answer:

Step-by-step explanation:

Hope this helps  !!

Point of intersection is the solution of the system of equations.

Both of them intersect at point (-3,5)

So, (-3,5) is the solution of the system of equations.

OPTION B

Answer:

(-3,5)

Step-by-step explanation:

The solution to the system is where the two graphs intersect.  They intersect at two points

(-3,5) and (1,-3)

The only solution listed as a choice is (-3,5)