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Reika [66]
3 years ago
7

a 5 inch tall bamboo shoot doubles in height every 3 days. if the equation, y=ab^x where x is the number of doubling periods, re

presents the height of the bamboo shot, what are the values of a and b?
Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0
X-doubling periods
Y-height of bamboo
Y=ab^x

1) make a table of values
X Y
1 5
2 10
3 20

2) write equations and substitute
5=ab^1 —> a=5/b^1 —> a=5/b
10=ab^2

Substitute into second equation

10=(5/b)*b^2
10=5b^2/b
10=5b
b=2

Substitute back in

b=2
10=a*2^2
10=4a
a=5/2

End equation:
Y=5/2*2^x


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Solve the equation. 6x - 3 (x+8) = 9
spin [16.1K]

Answer:

x=11

Step-by-step explanation:

6x-3(x+8)=9

Using the distributive property, we can turn 6x-3(x+8)=9 into 6x-3x-24=9, which simplifies to 3x-24=9 by combining like terms. Now, if we add 24 to both sides, we get 3x=33. By dividing both sides by 3, we get x=11.

Check:

66-3*19=9

66-57 does in fact equal 9.

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3 years ago
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Gwar [14]

What do you mean? What’s the question?

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2 years ago
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R + s² at r = 4, s = 1 ( Pls show work) AND NO LINKS THX UwU
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r+s^2

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5 0
2 years ago
The 9th graders are selling tickets to raise money for a class field trip. They are selling student tickets for $5 and adult tic
Marina CMI [18]

Answer:

<em>Total number of adult tickets sold = 10</em>

<em>Total Number of Students tickets sold = 30</em>

Step-by-step explanation:

Let x be the number of student tickets sold.

Let y be the number of adult tickets sold.

As per the question statement, total tickets sold are 40.

x +y =40 ...... (1)

Price of each student ticket = $5

Sales from students' tickets = Price of each students ticket \times Number of students tickets sold

Sales from student's tickets = 5 \times x

Price of each adult ticket = $9

Sales from adult's tickets = Price of each adult's ticket \times Number of adult tickets sold

Sales from student's tickets = 9 \times y

Total sales is done by students and adult tickets is $240 as per the question statement.

\Rightarrow 5x + 9y = 240 ......(2)

Solving equations (1) and (2) using elimination method:

Equation (2) - 5 \times (1) :

5x  + 9y -5x-5y = 240-200\\\Rightarrow 4y = 40\\\Rightarrow y =10

Total number of adult tickets sold = 10

Putting y=10 in equation (1):

x+10 = 40\\\Rightarrow x = 30

Total number of students tickets sold = 30

<em>Total number of adult tickets sold = 10</em>

<em>Total Number of Students tickets sold = 30</em>

8 0
3 years ago
HELP PLZ WILL GIVE BRAINLIEST! find the arrithmetic means in the given sequence<br> -3,?,?,?,93
pav-90 [236]

Answer:

Step-by-step explanation:

The standard form of an arithmetic sequence is

aₙ = a₁ + d(n - 1)

where aₙ is the number of the term in the sequence (in order from first term where n = 1, to second term where n = 2, to third term where n = 3, etc) a₁ is the the first term in the sequence, and d is the arithmetic difference or means.  This is what we are looking to solve for.  

In our sequence we have the first term, -3 (where n = 1) and the fifth term, 93 (where n = 5).  If we fill in what we have, the only unknown is d, our arithmetic difference (means) between each number in the sequence.

Because we have the fifth term, we can write our standard form to fit our needs:

a₅ = a₁ + d(n-1).  Therefore,

93 = -3 + d(5 - 1) and

93 = -3 + d(4) so

96 = 4d and

d = 24

Our arithmetic difference (means) is 24.  Let's test it on a few values of n.  Let's look for the second, third, and 4th terms, and then try it out for n = 5 to make sure the 5th term, using our arithmetic sequence with d = 24 works and we do, in fact, find the fifth term to be 93.

Testing n = 2

a₂ = -3 + 24(2 - 1) so

a₂ = -3 + 24(1)  and

a₂ = 21.  Second term is 21 (Notice that difference between -3 and 21 is 24)

Testing n = 3

a₃ = -3 + 24(3 - 1) so

a₃ = -3 + 24(2) and

a₃ = 48 - 3 and

a₃ = 45 (Notice the difference between 21 and 45 is 24)

Testing n = 4

a₄ = -3 + 24(4 - 1) so

a₄ = -3 + 24(3) and

a₄ = 72 - 3 and

a₄ = 69 (Notice the difference between 45 and 69 is 24)

Testing n = 5 (and it better come out as 93 or we did something wrong!)

a₅ = -3 + 24(5 - 1) and

a₅ = -3 + 24(4) so

a₅ = 96 - 3 so

a₅ = 93 (Phew!)  ; )

5 0
3 years ago
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