Your question is store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue?
The answer is C. $12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.
for the above question, we can first convert the fractions to decimals to make it easier to work with
<span>1/10 of sand - 0.1 ton </span>
4/5 minute - 0.8 minute
<span>Q1 - </span>
<span>ratio </span>
0.1:0.8
since the ratio is in decimals we can convert it to whole numbers by multiplying by 10
1:8
Q2. amount of sand added in 0.8 minutes - 0.1 ton
<span> amount of sand added in 1 minute - 0.1/0.8 = 0.125 tons</span>
<span>
</span>
Answer:
When you find the gradient (slope) of a graph, you divide a change of value on the vertical-axis (the 'rise') by a change of value on the horizontal axis (the 'run').
Gradient = rise/run.
The vertical axis has units of cm, so the rise in in cm.
The horizontal axis has units of 1/grams = g⁻¹, so the rise is in g⁻¹.
units for slip are
rise/run ≡ cm/g⁻¹ ≡ cm.g
Step-by-step explanation:
This problem has several items. So, let's solve it step by step.
1. Compare the graphs of the logarithmic functions f(x)=log7x and g(x)=log4x.
In the Figure below, we have tha graph of the two functions. The graph in red is 
and the graph in blue is 
. The x-intercept of 
is:
On the other hand, the x-intercept of 
is:
Each graph begins in the fourth quadrant and is increasing quickly. As the graph crosses the x-axis at each x-intercept, each graph does not increase as fast. The graph continues to increase slowly throughout the first quadrant.
2. For what values of x is f=g
We can find this answer by taking this equation:
As you can see this is an absurd result since 7 is not equal to 4. The conclusion is that the function is always different from , that is, 
3. For what values f>g
From the graph, we can see that the red function is always greater than the blue function. Therefore, 
