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maks197457 [2]
2 years ago
14

Question 13 (Essay Worth 8 points)

Mathematics
1 answer:
mixer [17]2 years ago
3 0

9514 1404 393

Answer:

  geometric sequence

Step-by-step explanation:

The terms of the sequence have a common ratio of -12/3 = -4, so the sequence is geometric. The general term is ...

  an = 3(-4)^(n-1)

so the sum can be written as ...

  \displaystyle\sum_{n=0}^\infty3(-4)^n

(Note the summation starts at n=0, corresponding to a first term of 3.)

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Please help
nalin [4]

Answer:

12870ways

Step-by-step explanation:

Combination has to do with selection

Total members in a tennis club = 15

number of men = 8

number of women = 7

Number of team consisting of women will be expressed as 15C7

15C7 = 15!/(15-7)!7!

15C7 = 15!/8!7!

15C7 = 15*14*13*12*11*10*9*8!/8!7!

15C7 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2

15C7  = 15*14*13*12*11/56

15C7 = 6,435 ways

Number of team consisting of men will be expressed as 15C8

15C8 = 15!/8!7!

15C8 = 15*14*13*12*11*10*9*8!/8!7!

15C8 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2

15C8 = 6,435 ways

Adding both

Total ways = 6,435 ways + 6,435 ways

Total ways = 12870ways

Hence the required number of ways is 12870ways

4 0
2 years ago
Which of the following is the equation of a line perpendicular to the line, , passing through the point (3,9)?
julsineya [31]
Y = -3/2x + 4...slope is -3/2
A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So that means the slope we will need is 2/3...see how I flipped the slope and changed the sign.
Now we use y = mx + b....slope(m) = 2/3....(3,9)...x = 3 and y = 9.
Time to sub...we r looking for b, the y intercept.

9 = 2/3(3) + b
9 = 2 + b
9 - 2 = b
7 = b 

so the perpendicular equation is : y = 2/3x + 7...but we need it in Ax + By = C form....
y = 2/3x + 7....multiply by common denominator of 3 to get rid of fractions
3y = 2x + 21...subtract 2x from both sides
-2x + 3y = 21....<== ur answer...normally, I would have multiplied this by -1 to make x positive...but that is not an answer choice
5 0
3 years ago
What shape do degree 3 functions have?
weqwewe [10]

Answer: Third degree polynomials are also known as cubic polynomials. Cubics have these characteristics: One to three roots. Two or zero extrema.

HOPE THIS HELPS

Please brainliest

5 0
2 years ago
Read 2 more answers
Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + -6 x = -13 Complete the square: x2 – 6x + 9 = –13 + 9 Factor t
ICE Princess25 [194]

Answer:

The roots of the polynomial are;

3 + 2i

and 3-2i

Step-by-step explanation:

Here, we want to solve the given polynomial using the completing the square method

We start by dividing through by 8

This will give;

x^2 - 6x = -13

To complete the square, we simply divide the coefficient of x by 2 and square it

We have this as -6/2 = -3

square it;; = (-3)^2 = 9

Add it to both sides

x^2 - 6x + 9 = -13 + 9

x^2 - 6x + 9 = -4

(x-3)^2 = -4

Find the square root of both sides

x-3 = ±2i

x = 3 + 2i

or x = 3-2i

8 0
3 years ago
Read 2 more answers
Hello! So, Given the equation y = 2x - 8, what is the slope and the y-intercept? Please help with a good explanation of how you
elena55 [62]

Answer:

m = 2 and b = -8.

Step-by-step explanation:

One of the most commonly used equations of straight lines is y = mx + b, where m is the slope and b is the y-intercept.

Comparing the given y = 2x - 8 to y = mx + b, we see that m = 2 and b = -8.

3 0
3 years ago
Read 2 more answers
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