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algol [13]
3 years ago
8

What is the midpoint of the line segment with endpoints (3.2, 2.5) and

Mathematics
1 answer:
Ilya [14]3 years ago
5 0
The correct answer is D. (2.4, -1)
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NEED HELP ASAP! PLEASE SHOW WORK! <br><br><br><br><br><br> RANDOM ANSWERS WILL BE MODERATED! THANKS
jeka94
 2(2.2)(3.0) + 2(2.2)(7.5) + 2(7.5)(3.0) 
    13.2                    33                 45
Theres the work the answer is (4) 91.2

3 0
3 years ago
Find a power series representation of e^x sin(x)
liberstina [14]
The Taylor series is defined by:
f(x) = \sum \frac{f^n (a)}{n!} (x-a)^n

Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.

Derivatives can be found using product rule:
f^n (x) = e^x g^{n-1} (x) + e^x g^n (x)  \\ g^0 (x) = sin x

Do this successively to n = 6.
f^1 (x) = e^x (sinx +cos x) \\ f^2 (x) = e^x (2cos x)  \\ f^3 (x) = e^x(2cos x - 2sin x)  \\ f^4 (x) = e^x (-4 sin x)  \\ f^5 (x) = e^x(-4sinx -4cos x) \\ f^6(x) = e^x(-8cos x)

Plug in x=0 and sub into taylor series:
e^x  sin x = x+x^2 +\frac{x^3}{3} -\frac{x^5}{30}-\frac{x^6}{90}...

If more terms are needed simply continue the recursive derivative formula and add to taylor series.
6 0
3 years ago
A’s DJ service charges a $200 setup fee and $75 an hour after that.
Bogdan [553]

The total cost includes the setup cost + per hour cost.

Let, x represents the time and y represents the total cost.

y=200+75x .... (1)

Let Y represent the cost for B's DJ service.

y=125x .... (2)

a. Graphing both the equations give the intersection point (solution) as (4,500)

It means for 4 hours, the total cost of both the DJ's is same at $500.

b. Substitution Method.

Plug y = 125x in equation (1)

125x= 200+75x

125x-75x=200

50x=200

x=4

y=125\times 4 =500

Hence, the total cost for 4 hours in both the service is $500.

c. Addition method.

Multiply equation (2) by -1

-y = -125x.... Equation (3).

Add euation (1) and equation (3)

y+(-y) = 200+75x-125x

0=200-50x

50x=200, x=4

y=500

Solution: For x = 4, y = 500 ( same as the previous two methods)

For x = 2, equation (1)

y=200+(75\times 2) = 350

For x = 2, equation (2)

y= 125\times 2 =250

Hence, for 2 hours, DJ B would be a better choice since it would charge $250.

For x = 6 hours, equation (1)

y=200+(75\times 6) =650

For x= 6, equation (2)

y=125\times 6=750

For 6 hours, DJ A would be  better option since it charges $650 for 6 hours.



8 0
3 years ago
A quadratic function y=f(x) is plotted on a graph and the vertex of the parabola is (3,6). What is the vertex of the function de
maks197457 [2]

Answer:

vertex = (- 2, 6)

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here a = 5 , thus a horizontal translation left by 5 units.

Thus

vertex of g(x) = (3 - 5, 6 ) = (- 2, 6 )

5 0
3 years ago
Select the correct answer from each drop-down menu.
ExtremeBDS [4]

Answer:

7

Step-by-step explanation:

8 0
2 years ago
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