Answer:
The table in the exercise can be completed with the next results:
- x y
-
2 <u>9</u>
-
4 <u>11</u>
-
6 <u>13</u>
-
8 <u>15</u>
Step-by-step explanation:
As in the exercise Janice is 7 years older than Tam, to obtain the result in the table, you must add 7 to each age in the column x, with this we can make the next formula:
Remember that x is Tam's age, and y is Janice's age, so, you must replace the x variable in each case to obtain the result to y:
When x is 2:
When x is 4:
When x is 6:
When x is 8:
At last, <u>to obtain the graph you can use the formula made: y = x + 7</u>, and you'll obtain a graph like the attached picture, <em>where each time x obtain a unit, the y variable obtain a unit too maintaining the diference of 7</em>.
Answer: 36 days
Step-by-step explanation:
that’s the lowest multiple of 9 that also is a multiple of 12. It’s the LCF aka Least Common Factor
Take the square root of 10,000, which is 100.
Answer:
x= -11/4 is a maximum.
Step-by-step explanation:
Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

And then we get that if
then
. So it has a critical point at
.
Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.
Since
x= -11/4 is a maximum.