Answer:
gabby is correct
Step-by-step explanation:
Answer:
Average rate of change: 
Step-by-step explanation:
<u>Remember:</u>
The average rate of change of a function over an interval
is 
<u>Given:</u>
![[a,b]=[1,7]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D%3D%5B1%2C7%5D)


<u>Calculation:</u>



Therefore, the average rate of change of the function
over the interval
is
.
I'm guessing the % of syrup refers to the % of sugar it has, therefore:
50% = 50 / 100 = 0.5
0.5 * x = 0.5
x = 0.5/0.5
x = 1
She will have 1 lbs of syrup
(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ =
= 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified
Answer:
( 11 -6)
( -5 6 )
Step-by-step explanation:
Multiply the first row of N by first column of M. This will give the first element in top row of the answer :-
-3*-2 + 1*5 = 11
Then multiply the first row in N by the second column of M to give the second element of the top row.
-3*0 + 1*-6 = -6
Then do a similar process with the second row in N.