Answer:
I'm not sure but if this is on a calculus paper, this may put you on the right track?
Step-by-step explanation:
definate integral from 2.3 to 2.5 would equal 3.2, i don't know what to do with that information but i hope that helps you.
Given:
Shift of 3 units to the left 4 units down.
To find:
The transformation rule.
Solution:
The rule of transformation is
...(i)
Here, a<0 if the figure shifts a units left and a>0 if the figure shifts a units right.
Similarly, b<0 if the figure shifts b units down and b>0 if the figure shifts b units up.
If a transformation represents shift of 3 units to the left 4 units down, then a=-3 and b=-4.
Putting a=-3 and b=-4 (i), we get
Therefore, the correct option is B.
Answer
Notebook each =$4
Folder each = $9
First we write out what we know
Notebook = n
Folder = f
It says a notebook is +5 than a folder so
f = n +5
It says he bought 3 notebooks and 2 folders for $30
3n + 2f = 30
Because we know from the first equation
f=n+5, we can substitute that into the second equation for f
3n + 2(n+5) = 30
3n + 2n +10 =30. Now Combine like terms
5n +10 =30. Now isolate n by subtracting 10 from both sides
5n = 20. Now isolate n by dividing both sides by 5
n = 4
Now we do the same thing to find f
We substitute the value of n (4) into the equation 3n + 2f =30
3(4) +2f =30
12 +2f =30. Now isolate f by subtracting 12 from both sides
2f = 18. Now isolate f by dividing both sides by 2
f = 9
We check our work by inserting the n and f values we found into one of the equations
n + 5 = f
4 + 5 = 9
9 = 9. It worked it equals so it’s correct
Answer:
170 heart beat per minute.
Step-by-step explanation:
While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y, is given by the function y = f(x) = − 0.85x + 187 where x represents a person’s age in years.
So, if my age is 21 years i.e. x = 21, then the number of recommended heart beats per minute for my age will be
y = f(21) = - 0.85(21) + 187 = - 17.85 + 187 = 169.15 ≈ 170. (Answer)
{Taking the larger integer value}
I think it’s either C or D
