Answer:
<h2>AB = 38</h2><h2 />
Step-by-step explanation:
|<----------------- AB ------------------->|
A--------------------M--------------------B
5x + 4 3+16
since M is at midpoint, AM = MB
5x + 4 = 3 + 16
5x = 3 + 16 - 4
x = 15 / 5
x = 3
AB = AM + MB
AB = 5(3) + 4 + 3 + 16
AB = 15 + 23
AB = 38
Answer:
For more than 35 miles company A will charge less than company B
Step-by-step explanation:
Let us write the equation of the cost of each company
Company A:
∵ Company A charges $96 for unlimited mileage
∴ The cost of company A = 96
Company B:
∵ Company B charges an initial fee of $75
∵ It charges $0.6 for every mile driven
∵ The number of miles is m
- Multiply m by 0.6 and add 75 to the product
∴ The cost of company B = 75 + 0.6 m
∵ Company A will charge less than company b
∴ 96 < 75 + 0.6 m
- Subtract 75 from both sides
∴ 21 < 0.6 m
- Divide both sides by 0.6
∴ 35 < m
- That means m is greater than 35
∴ m > 35
For more than 35 miles company A will charge less than company B
There are two ways to do this but the way I prefer is to make one of the equations in terms of one variable and then 'plug this in' to the second equation. I will demonstrate
Look at equation 1,

this can quite easily be manipulated to show

.
Then because there is a y in the second equation (and both equations are simultaneous) we can 'plug in' our new equation where y is in the second one

which can then be solved for x since there is only one variable

and then with our x solution we can work out our y solution by using the equation we manipulated

.
So the solution to these equations is x=-2 when y=6
Answer:
It seems like this question is not clear enough but it probably is like the one in the pictures. :)
Step-by-step explanation:
Look at the pictures.
Answer:
The general form of a natural logarithmic function is <em>f(x)=a In(x-h) +k.</em> Since the initial average length of the lizards was 20 centimeters, one possible point (h+1,k) through which the function passes is (0,20).
In this case, h= -1 since h +1 = 0 and k = 20.
It follows that x - h = (-1) = x + 1.
So, the function takes the form <em>f(x) = a In(x + 1) +20. </em>
The average length of the lizards after 2 years is 22.197. So f(2) =22.197. We substitute this value into the function
Step-by-step explanation:
<em>f(2) = a In(2 +1) +20 </em>
<em>22.197 = a In(3) + 20 </em>
<em></em>
<em>≈ a </em>
<em>2 ≈ a</em>
So the function that represents the average length of the lizards across this generation is <em>f(x) = 2 In(x+1) +20 </em>