All categories

4 years ago

Help me please I need help

Mathematics

1 answer:

balandron [24]4 years ago

8 0

Answer:

I have solved the question in the picture in two different ways : simplification and factorisation I hope you find it useful bye:)

You might be interested in

Find the particular solution that satisfies the differential equation and the initial condition.

Vesnalui [34]

Answer:

1) $y =4x^2 +7$

2) $y =7s^2 -3s^4 +181$

Step-by-step explanation:

Assuming that our function is $y = f(x)$ for the first case and $y=f(s)$ for the second case.

Part 1

We can rewrite the expression like this:

$\frac{dy}{dx} =8x$

And we can reorder the terms like this:

$dy = 8 x dx$

Now if we apply integral in both sides we got:

$\int dy = 8 \int x dx$

And after do the integrals we got:

$y = 4x^2 +c$

Now we can use the initial condition $y(0) =7$

$7 = 4(0)^2 +c, c=7$

And the final solution would be:

$y =4x^2 +7$

Part 2

We can rewrite the expression like this:

$\frac{dy}{ds} =14s -12s^3$

And we can reorder the terms like this:

$dy = 14s -12s^3 dx$

Now if we apply integral in both sides we got:

$\int dy = \int 14s -12s^3 ds$

And after do the integrals we got:

$y = 7s^2 -3s^4 +c$

Now we can use the initial condition $y(3) =1$

$1 = 7(3)^2 -3(3)^4 +c, c=1-63+243=181$

And the final solution would be:

$y =7s^2 -3s^4 +181$

7 0

4 years ago

At a museum, 100 posters are displayed in each of 4 rooms. Altogether, how many posters are displayed?

Anna007 [38]

100 divided by 4 your answer is 25

5 0

3 years ago

Read 2 more answers

What’s the equation for a line passing through points (-1, 4.5) and (6, 8)?

san4es73 [151]

Answer:

Given points ( -1 , 4.5 ) and ( 6 , 8 )

Step-by-step explanation:

first we should calculate slope 

Slope ( m) 

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

= ( 8 - 4.5 ) / ( 6 + 1 )

= 3.5/7

= 0.5

Now the equation of line is given by 

y - y1 = m ( x - x1 )

y - 4.5 = 0.5 ( x + 1 )

( y - 4.5 ) = 0.5 ( x + 1)

y - 4.5 = 0.5x + 0.5

y = 0.5x + 0.5 + 4.5

y = 0.5x + 5

3 0

3 years ago

Can you guys help and put these in order?

PtichkaEL [24]

-3, -2.5, -3/4, 1/4, 3.1, 16/5, 6. I can’t see the other numbers, so it’s just these

7 0

3 years ago

8. Number of boys in a class is twice the number of girls. 20% of the girls are brunettes and of the rest – half are blondes: Ma

slega [8]

Answer:

20 boys

Step-by-step explanation:

b = 2g

100% - 20% = 80%

80% ÷ 2 = 40% = 0.4

0.4g = 4 ⇒ g = 4 ÷ 0.4 = 10

b = 2 × 10 = 20

There are 10girls and 20 boys study in the class.

8 0

3 years ago