is hanging birdhouses on her fence, which includes one red post. The first birdhouse is 27.7 in. to the right of the red post.
2 answers:
You might be interested in
Answer:
The number of bacteria in the dish after 9.9 minutes is 478
Step-by-step explanation:
The form of the function is , where a is the initial amount (value f(x) at x = 0)
To find a and b let us use two points from the graph and substitute their coordinates in the equation
∵ The graph passes through point (1 , 1)
∴ x = 1 and y = 1
- Substitute them in the equation
∵
∴ a.b = 1 ⇒ (1)
∵ The graph passes through point (1 , 1)
∴ x = 3 and y = 4
- Substitute them in the equation
∵
∴ a.b³ = 4 ⇒ (2)
Use equation (1) to find a in terms of b
∵ a.b = 1
- Divide both sides by b
∴ ⇒ (3)
- Substitute a in equation (2) by equation (3)
∴ . b³ = 4
- Remember the rule
∵ . b³ =
= b²
∴ b² = 4
- Take √ for both sides
∴ b = 2
Substitute the value of b in equation (3) to find a
∵ a =
∴ a = 0.5
∴
∵ f(x) represents the number of bacteria after x minutes
∵ x = 9.9 minutes
- Substitute x by 9.9 to find the number of bacteria
∵
∴ f(9.9) = 477.7128917
- Round it to the nearest whole number
∴ f(9.9) = 478
∴ The number of bacteria in the dish after 9.9 minutes is 478
Answer:
For the profit of $5,000, the key chains made is n = 4,000.
Step-by-step explanation:
Here the given expression , where: n = Number of key rings in thousands is given as:
P(n) = n²- 2 n - 3
Now, Profit is given to be $5,000.
Also, as we know 5000 = 5 x (1,000)
⇒ n²- 2 n - 3 = 5
Now, solving the above expression for the value of n, we get:
So, n = 4, OR , n = -2
Now, as n = The number of key chains. So it CANNOT BE NEGATIVE.
So, n= 4 = 4 x (1,000) = 4,000 key rings.
Hence, for the profit of $5,000, the key chains made is n = 4,000.