The correct option A: graph A, shows the logarithmic function;
f(x) = log₃x + 1
<h3>Explain the term logarithmic function?</h3>
- The opposite of such an exponential function is a logarithmic function.
- A log function and then an exponential function both use the same base.
- An exponent is a logarithm. f(x) = bx is how the exponential function be expressed.
- The formula again for logarithmic function is f(x) = log base b of x.
f(x) = log₃x + 1
f(1) = log₃1 + 1
f(1) = 0 + 1
f(1) = 1
(1, 1)
f(3) = log₃3 + 1
f(3) = 1 + 1
f(3) = 2
(3, 2)
Thus, the graph must contain the points (1, 1), (3, 2).
Therefore, graph A define the given logarithmic function;
f(x) = log₃x + 1.
To know more about the logarithmic function, here
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Answer: 3,003 cubic meters
Step-by-step explanation: LxWxH= 16.5x18.2x10= 3,003
We don’t know the value of the shorter side, so we will categorize it as x. Side 2 is just 4 feet longer than x, so we would add 4 on to it. Side 3 has double the x, so we would multiply it be 2 for 2x, and subtract the 4 feet from it.
Side 1: x
Side 2: x + 4
Side 3: 2x - 4
If the perimeter is 64 feet, then all of the sides have to add up to it. Therefore, first we add all of the side lengths up:
x + x + 4 + 2x - 4 = 4x.
Now we put 4x, the amount of all these sides added up, equal to the perimeter of 64.
4x = 64. Divide both sides by 4 to get x by itself.
x = 16.
Now that we know x is 16, we will substitute it in for all the side lengths’ equations.
We know that Side 1 was just x, so that will be 16. Since Side 2 was 4 more than x, we’d do 16 + 4 = 20. We substitute 16 in for x in Side 3’s equation: 2(16) - 4 = 32 - 4 = 28.
Therefore, the final lengths of all the sides are:
Side 1: 16
Side 2: 20
Side 3: 28
The height of the model is 6.1 inches.
If 1 inch represents 50 feet, to find the answer, divide 305/50.
the answer is 6.1 inches.
Hope this helps, and have a fantastic day.
Hi there
a) the value of the car is 25000
b) v=25,000×1.5^(−0.2×3)=19,601
C) 12500=25000×1.5^(-0.2t)
Solve for t
12500/25000=1.5^(-0.2t)
Log (12500/25000)=-0.2t×log (1.5)
-0.2t=Log(12500/25000)÷log (1.5)
T=(log(12,500÷25,000)÷log(1.5))÷(−0.2)
T=8.55 years
Hope it helps
