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lawyer [7]
3 years ago
9

If the pattern below follows the rule starting with five every consecutive line has a number that is four less than twice the pr

evious line how many marbles must be in the sixth line
Mathematics
2 answers:
slamgirl [31]3 years ago
3 0

The rule starting with five. 5 marbles in first line.

Every consecutive line has a number that is four less than twice the previous line.

marbles in second line = 2(marbles in first line) - 4

So the number of marbles in second line = 2(5) -4 = 10-4 = 6

marbles in third line = 2(marbles in second line) - 4

So the number of marbles in second line = 2(6) -4 = 12-4 = 8

marbles in fourth line = 2(marbles in third line) - 4

So the number of marbles in fourth line = 2(8) -4 = 16-4 = 12

marbles in fifth line = 2(marbles in fourth line) - 4

So the number of marbles in fifth line = 2(12) -4 = 24-4 = 20

marbles in sixth  line = 2(marbles in fifth line) - 4

So the number of marbles in sixth line = 2(20) -4 = 40-4 = 36

36 marbles must be in the sixth line.



Irina-Kira [14]3 years ago
3 0

Answer:

The answer is 36

Step-by-step explanation:

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Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
jenyasd209 [6]
The function is f(x)=x^3-11x^2+36x-36.

To find the x-intercepts, we need to factorize the function. A very good idea is to first try the factors of 36:

f(1)=1-11+36-36, not 0

f(2)=8-44+72-36=-36+72-36=0. Here we have our first root (2).

Now we cad divide f(x) by (x-2) which will give us a quadratic expression, which we can factorize easily (if the discriminant is non negative).

We can also try some other factors of 36. Indeed we can check that 

f(3)=27-99+108-36=135-135=0, 
and
f(6)=216-396+216-36=0.

Thus, f(x)=(x-2)(x-3)(x-6). Note that if we expanded the right hand side expression, the constant term would be the product of the constants 2, 3, 6.

This is the reason why in the first place we looked at the factors of 36 for the possible zeros of f(x).


Thus, the x-intercepts are (2, 0), (3, 0), (6, 0), or 2, 3, 6. 

The y-intercept is f(0), which is -36.


Note that f(0)<f(2) because f(0)=-36 and f(2)=0. This means that at the left side, the graph is coming from - infinity. Similarly, 

we can check that f(10)=1000-1100+360-36=224> f(6). That is, to the right of our rightmost root, the graph is getting larger.

Thus, the end behaviors are: the graph goes to + infinity as x goes to + infinity, 

and it goes to minus infinity as x goes to - infinity.
7 0
3 years ago
(HELP WITH THIS )Suppose ages of cars driven by company employees are normally distributed with a mean of 8 years and a
8090 [49]

Answer:

Let say 75% of  cars older than age  = Y  years

than 25 % cars of age less than Y Years

Z score corresponding to 25 %  =  -0.674

Z score = (Value - Mean) /SD

Value = Y

Mean = 8

SD = 3.2

Z score = -0.674

-0.674 = (Y - 8)/3.2

=> Y =5.84 Years

=> Y ≈ 5.9 Years

Approximately 75% of cars driven by company employees are older than  about 5.9 years

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Is q = 4b proportional or non proportional
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It is proportional because it has a direct relationship.
5 0
3 years ago
Right triangle ABC is shown.
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4 0
2 years ago
Read 2 more answers
The functions f(x) and g(x) are described below: f(x) = 7x + 9 g(x) = 7x −4 The graph of g(x) is obtained by shifting down the g
Slav-nsk [51]
Correct Answer:
Option A

Solution:

f(x) = 7x + 9
g(x) = 7x - 4

We can re-write g(x) as:

g(x) = 7x + 9 - 13

Since 7x+9 is equal to f(x), we can write:

g(x) = f(x) - 13

This relation shows that g(x) is obtained by shifting f(x) 13 units vertically down. So the correct answer is option A.
6 0
3 years ago
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