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2 years ago

Consider the geometric series S(x)=1+2(x−3)+4(x−3)^2+8(x−3)^3+⋯

Mathematics

2 answers:

aksik [14]2 years ago

7 0

Answer:

Consider the geometric series S(x)=1+2(x−3)+4(x−3)^2+8(x−3)^3+⋯

Giving your answer as an interval, find all values of x for which the series converges.

Now assuming that x is in your interval above, find a simple formula for S(x).

Step-by-step explanation:

sergij07 [2.7K]2 years ago

5 0

Consider the geometric series S(x)=1+2(x−3)+4(x−3)^2+8(x−3)^3+⋯
Giving your answer as an interval, find all values of x for which the series converges.
Now assuming that x is in your interval above, find a simple formula for S(x).

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If P=(2,-1),find the image of P under the following rotation. 180 degrees counterclockwise about the origin

vichka [17]

9514 1404 393

Answer:

(-2, 1)

Step-by-step explanation:

Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.

(x, y) ⇒ (-x, -y) . . . . . rotation 180°

(2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P

The coordinates of the rotated point are (-2, 1).

3 0

2 years ago

-3(3+x)+4(x-6)=-4 Please help me with this question

dsp73

Answer:

$\boxed{ \bold{ \huge{ \sf{x = 29}}}}$

Step-by-step explanation:

$\sf{ - 3(3 + x) + 4(x - 6) = - 4 }$

Distribute -3 through the parentheses

Similarly, Distribute 4 through the parentheses

⇒ $\sf{ - 9 - 3x + 4x - 24 = - 4}$

Collect like terms

⇒ $\sf{x - 9 - 24 = - 4}$

Calculate

⇒ $\sf{x - 33 = - 4}$

Move 33 to right hand side and change it's sign

⇒ $\sf{x = - 4 + 33}$

Calculate

⇒ $\sf{x = 29}$

Hope I helped!

Best regards!!

7 0

3 years ago

Brainlist and 45 Points

shtirl [24]

Answer:

Step-by-step explanation:

The only option with coordinates within the triangle is D.

Coordinates included within the triangle. (-1, 0), (-1, -2), and <em>(-1, -1) </em>

(-1, -1) is the only one listed in the given options.

5 0

2 years ago

If 18 is subtracted from twice the square of an integer, the

Sergeu [11.5K]

Answer:

-3/2

Step-by-step explanation:

Let x = the integer:

2x^2 - 18 = 9x

2x^2 - 9x - 18 = 0

Now either factor that or use the quadratic formula if you're lazy like me.

x = -3/2 and 6, so x must be 6 because it has to be an integer.

5 0

2 years ago

Solve 7x+3y=8 and 4x-y=-9 simultaneously

Jobisdone [24]

Answer: x = -1 and y = 5

Step-by-step explanation:

7x + 3y = 8 ........................... equation 1

4x - y = - 9 ............................ equation 2

Solving the simultaneous linear equation by substitution method , make y the subject of the formula from equation 2 , we have

y = 4x + 9 ............................. equation 3

substitute y = 4x + 9 into equation 1 , we have;

7x + 3 ( 4x + 9 ) = 8

7x + 12x + 27 = 8

19x + 27 = 8

subtract 27 from both sides

19x = -19

divide through by 19

x = -1

substitute x = -1 into equation 3 , we have

y = 4 ( -1) + 9

y = -4 + 9

y = 5

Therefore :

x = -1 and y = 5

5 0

2 years ago