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3 years ago

This question is pretty simple and easy so please answer it.

Mathematics

1 answer:

mylen [45]3 years ago

6 0

Answer:

Quadratic

Step-by-step explanation:

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A function passes through the points (2,9) and (7,34). What are its rate of change and initial value?

Bess [88]

Answer:

The rate of change: 1/5

Initial value: (0,-1)

Step-by-step explanation:

The rate of change is easily 5/25, we just have to simplify it to 1/5.

To get the intial value, just subtract (2,9) by the rate of change twice.

5 0

3 years ago

Please help and show work if you can

laila [671]

Answer:

25. a = 60

26. a = 17

Step-by-step explanation:

In these two problems we are going to use a property of parallelograms that says: opposite angles have equal measure

so we have

25.

$6a+10=130\\\\6a=130-10\\\\6a=120\\\\a=60$

and for 26 we have

$4a-4=2a+30\\\\4a=2a+30+4\\\\4a=2a+34\\\\4a-2a=34\\\\2a=34\\\\a=17$

6 0

3 years ago

5. Find the general solution to y'''-y''+4y'-4y = 0

CaHeK987 [17]

For any equation,

$a_ny^(n)+\dots+a_1y'+a_0y=0$

assume solution of a form, $e^{yt}$

Which leads to,

$(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0$

Simplify to,

$e^{yt}(y^3-y^2+4y-4)=0$

Then find solutions,

$\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}$

For non repeated real root y, we have a form of,

$y_1=c_1e^t$

Following up,

For two non repeated complex roots $y_2\neq y_3$ where,

$y_2=a+bi$

and,

$y_3=a-bi$

the general solution has a form of,

$y=e^{at}(c_2\cos(bt)+c_3\sin(bt))$

Or in this case,

$y=e^0(c_2\cos(2t)+c_3\sin(2t))$

Now we just refine and get,

$\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}$

Hope this helps.

r3t40

5 0

4 years ago

Help T-T I’m a bit stuck

ddd [48]

Answer:

It is the 3rd option. If it doesn't have a line below it, the circle should be open. And where the arrow points is where your line should go if that makes sense.

Step-by-step explanation:

4 0

4 years ago

PLEASE HELP It's for 10pts

Eduardwww [97]

Answer:

9x+2

Step-by-step explanation:

It's a simple problem, to find the perimeter, add a+b+c. In this case, it's with binomials, but it follows the same idea.

(2x+2)+(3x+1)+(4x-1)

2x+2+3x+1+4x-1

Combine like terms.

2x+3x+4x=9x

2+1-1=2

Left with 9x+2 as your perimeter binomial.

4 0

3 years ago