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3 years ago

Solve 3x² + 24y when x is 3 and y is 4

Mathematics

2 answers:

Ymorist [56]3 years ago

7 0

Answer:

Step-by-step explanation:

its a simple problem

choli [55]3 years ago

3 0

Answer:

Step-by-step explanation:

x = 3 and y = 4

Plugin the value of x and y in the expression.

3x² + 24y = 3*3² + 24*4

= 3*9 + 96

= 27 + 96

= 123

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Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be

zheka24 [161]

<h2>Hello!</h2>

The answer is:

$FirstCarSpeed=41mph\\SecondCarSpeed=55mph$

To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to isolate one in function of the other.

So, let be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

$x_{FirstCar}=x_o+v*t$

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

$x_{SecondCar}=x_o+(v+14mph)*t$

Now, we already know that both cars met after 2 hours and 45 minutes, meaning that positions will be the same at that moment, and the distance between A and B is 264 miles, so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

$RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph$

Then, since we know that they covered a combined distance which is equal to 264 miles of distance in 2 hours + 45 minutes, we have:

$2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours$

Writing the equation, we have:

$264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph$

We have that the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

$SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph$

Hence, we have that:

$FirstCarSpeed=41mph\\SecondCarSpeed=55mph$

Have a nice day!

4 0

3 years ago

Read 2 more answers

Polynomial division help pls!!

lara31 [8.8K]

Just add the numerators and the answer becomes (4/x–4)

6 0

3 years ago

-5x– 8< -53 and -63 < -5x – 8

baherus [9]

Answer:

x>9 and x<11

Step-by-step explanation:

7 0

3 years ago

Solve (3x+8)(y^2+4) dx +4

Anna35 [415]

It's been four years since I last did a problem of this particular nature. :)

Try this: divide both sides of the given equation by (x^2-5x+6), obtaining

(3x+8)(y^2+4) + 4y(x^2+5x+6) dy

-------------------- dx + ------------------------- dy = 0

x^2+5x + 6 x^2+5x + 6

This gives us:

(3x+8)(y^2+4)

-------------------- dx + 4ydy = 0

(x+2)(x+3)

Now divide all 3 terms by y^2+4:

3x+8

--------------- dx + 4ydy = 0 This completes the separation of variables.

(x+2)(x+3)

Now we'll need to integrate each of the 3 terms.

3x+8

--------------- dx + 4ydy = 0 can be re-written in the form

(x+2)(x+3)

3x +8 A B

--------------- = --------- + ---------- We will need to determine the values

(x+2)(x+3) x+2 x+3 of A and B (partial fraction expansion).

I trust you know how to do this; if not, let me know and I'll help you with that also.

I obtained B=2 and A = 1. You might want to verify that 1/(x+2) + 2/(x+3) =

3x+8

-------------- .

(x+2)(x+3)

Integrating the left side of this d. e. results in ln(x+2) + ln(x+3).

Integrating 4ydy results in 4*y^2/2, or 2y^2.

Integrating 0 results in a constant, C.

Thus,

ln(x+2) + ln(x+3) + 2y^2 = C is the solution of this d. e.

7 0

3 years ago

What is the value of x?

Pavlova-9 [17]

Answer:
x = 11/36

Explanation:
Step 1 - Write down the equation

x + 4/9 = 3/4

Step 2 - Subtract 4/9 from both sides of the equation

x + 4/9 = 3/4
x + 4/9 - 4/9 = 3/4 - 4/9
x = 11/36

Extra:
If you would like to check and make sure the value of x is correct, simply replace x with its value and solve.

x + 4/9 = 3/4
11/36 + 4/9 = 3/4
27/36 = 3/4
3/4 = 3/4 ✅

So, the value of x is in fact 11/36

3 0

4 years ago