<em>The question doesn't show any graph, but I have included it to help you with the problem.</em>
Answer:
<em>The new graph will be shifted up by 3 units</em>
Step-by-step explanation:
<u>Graph of a Real Function</u>
The total cost of belonging to the book club depends on one fixed cost, the initial joining fee, and a variable cost, depending on the number of books purchased. Call C the total cost and x the number of purchased books, then
By giving x some values, we get the corresponding values of C and then we can plot the graph as a blue line, in the image provided below.
If the joining fee goes up by $3, the new function is
The graph is also shown in the image, but with a red line. We can see the graph is shifted up by 3 units in the y-axis, but the slope remains the same, as the cost per book hasn't changed
Step-by-step explanation:
First, transform 8 feet and 10 feet into inches so we can work with the same measurements
8 * 12 = 96 in
10 * 12 = 120 in
Next find the patio rectangle area.
96 * 120 = 11520 in^2
Now find the paving block area
4 * 8 = 32 in^2
Now, find out how many paving blocks will go into the patio rectangle area.
11520 / 32 = 360
The minimum number is 360 paving blocks
Answer:
25%
Step-by-step explanation:
25 divided 100 = 0.25
We can solve this by setting up a system of equations. We will use x for the $3 boxes and y for the $5 boxes:
x+y=34
3x+5y=130
We can use the elimination method by multiplying the first equation by 3:
3x+3y=102
3x+5y=130
0x-2y=-28
y=14
We can then plug this number back into one of the original equations to solve for x:
x+14=34
x=20
We can check these answers by plugging them into the equations:
20+14=34
34=34
(3)(20)+(5)(14)=130
60+70=130
130=130
Therefore, there are 20 of the $3 boxes, since we originally said that x would be the $3 boxes.
