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Zielflug [23.3K]
3 years ago
12

Can someone please help with this maths !!!!!

Mathematics
2 answers:
ioda3 years ago
7 0

Answer:

C)  -3

Step-by-step explanation:

Rearrange your equation so that it is in slope-intercept form (y = mx + b).  The m in the equation is the gradient.

y = 7 - 3x

y = -3x + 7

The m-value is -3.  This means that the gradient is -3.

stellarik [79]3 years ago
4 0

Answer:

c)

Step-by-step explanation:

Slope intercept form of a line: y = mx + b

m---> slope or gradient

b ----> y-intercept

y = -3x + 7

Gradient = -3

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All of these ODEs model a system with a spring, mass and dashpot.
Wewaii [24]

Answer:

− 3 y ' ' − 3 y ' + 3 y = 0 : over-damped

− 2 y ' ' − 4 y ' + 1 y = 0 : over-damped

1 y ' ' + 7 y ' + 5 y = 0: over-damped

Step-by-step explanation:

Using the characteristic equation you can express a differential equation of order n as an algebraic equation of degree n:

a_ny^n+a_n_-_1y^{n-1}+...+a_1y'+a_oy=0

This differential equation will have a characteristic equation of the form:

a_nr^n+a_n_-_1r^{n-1}+...+a_1r+a_o=0

Now, you can classify the solution for a differential equation using a simple method. In order to do it, you just need to use the discriminant.

  • If the discriminant is greater than zero, the solution is over-damped

  • If the discriminant is less than zero, the solution is under-damped

  • If the discriminant is equal to zero, the solution is critically damped

So, given the differential equation:

-3y''-3y+3y=0

Which has characteristic equation of the form:

-3r^2-3r+3=0

The quadratic polynomial of the form:

ar^2+br+c=0

Has discriminant:

Disc=b^2-4ac

In this case:

a=-3\\b=-3\\c=3

So:

Disc=(-3)^2-4(-3)(3)=9-(-36)=45

In this case:

Disc=45>0

Therefore the solution is over-damped.

Now, given the differential equation:

-2y''-4y'+1y=0

Which has characteristic equation of the form:

-2r^2-4r+1=0

The quadratic polynomial of the form:

ar^2+br+c=0

Has discriminant:

Disc=b^2-4ac

In this case:

a=-2\\b=-4\\c=1

So:

Disc=(-4)^2-4(-2)(1)=16+8=24

In this case:

Disc=24>0

Therefore the solution is over-damped.

Finally, given the differential equation:

1y''+7y'+5y=0

Which has characteristic equation of the form:

1r^2+7r+5=0

The quadratic polynomial of the form:

ar^2+br+c=0

Has discriminant:

Disc=b^2-4ac

In this case:

a=1\\b=7\\c=5

So:

Disc=(7)^2-4(1)(5)=49-20=29

In this case:

Disc=29>0

Therefore the solution is over-damped.

6 0
3 years ago
a boutique handmade umbrella factory currently sells 22500 umbrellas per year at a cost of 9 dollars each. in the previous year
sergij07 [2.7K]

Answer:

The maximum revenue of the two years is $ 394,500 .

Step-by-step explanation:

Given as :

The current number of selling of umbrellas = 22500

The price of each umbrellas = $ 9

So, The Total price of 22500 umbrellas at $ 9 per umbrellas = $ 9 × 22500

I.e The Total price of 22500 umbrellas at $ 9 per umbrellas = $ 202,500

Again ,

The total number of umbrellas sold previous year = 12000

The price of umbrellas = $ 16

So, The Total price of 12000 umbrellas at $ 16 per umbrellas = $ 16 × 12000

I.e The Total price of 12000 umbrellas at $ 16 per umbrellas = $ 192,000

So, The maximum revenue of the two years = $ 202,500 + $ 192,000

I.e The maximum revenue of the two years = $ 394,500

Hence The maximum revenue of the two years is $ 394,500 . Answer

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You are creating identical coupon booklets to sell for a fundraiser. You have 32 dry cleaning coupons 80 coupons for a local res
marishachu [46]
No. It means that you should find a integer to divide 32 47 80 , and the equals must be integer also. But the 3 numbers have no common factor
3 0
3 years ago
Mariah has $92.47 dollars in her bank account. She spends half of it on clothes, and she spends the 1 quarter of the money left.
denis23 [38]
46.235 but you have to round so 46.24
3 0
3 years ago
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There are 50 seats on the tour bus. You reserve 2/5 of the seats How many seats did you reserve

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