Answer:
.
Step-by-step explanation:
Differentiate each function to find an expression for its gradient (slope of the tangent line) with respect to 
. Make use of the power rule to find the following:
.
.
The question states that the graphs of 
and 
touch at 
, such that 
. Therefore:
.
On the other hand, since the graph of and coincide at , 
(otherwise, the two graphs would not even touch at that point.) Therefore:
.
Solve this system of two equations for 
and 
:
.
Therefore, 
whereas 
.
Substitute these two values back into the expression for and :
.
.
Evaluate either expression at to find the 
-coordinate of the intersection. For example, 
. Similarly, 
.
Therefore, the intersection of these two graphs would be at .
Answer:
2x+15=33
Step-by-step explanation:
Let n be the number of days he has been doing sit ups, not counting the first day. Since he does 2 more sit-ups for each day, then the number of additional sit-ups is 2n.
Since he started doing 15 sit-ups on the first day, the total number of sit-ups
after x days would be 2n+15.
Since he did a total of 33 sit ups today, then 2n+15=33
Answer:
37
Step-by-step explanation:
Highest - lowest = range
64-27= 37
Answer:
4
Step-by-step explanation:
1/5 is the same as 2/10. How many 2's can you put in 9? You can put 4.5 2's in a 9. However, filling half a bag does not fill the entire bag, so the answer would be 4. You can fill 4 full 1/5 pound bags with 9/10 pounds of granola.
These are not hard....u just have to pay very close attention to the wording. Keep in mind ratios can be written as fractions too.
ratio of tomatoes to onions = 21:6 which reduces to 7:2...because there is 21 tomatoes and 6 onions. (21/6 reduces to 7/2...ratios written as fractions)
However, if it would have asked the ratio of onions to tomatoes, it would have been 6:21....which reduces to 2:7....so pay attention to the wording on problems such as these
so ur answer is 7:2
