Combine like terms: Then solve
(-5a3 + 6a3) + (-2a2 +9a2) + 8a =
Hey there!
Here is your answer:
<u><em>The proper answer to this question is "44 times".</em></u>
Reason:
You have to solve it this way:
<u><em>12 heartbeats=16 seconds</em></u>
<u><em>16+16=32</em></u>
<u><em>36+16=48</em></u>
<u><em>48+16=64</em></u>
<u><em>16-12=4</em></u>
<u><em>12+12=36+8=44</em></u>
<em>Therefore lions heart beats 44 times every 60 seconds.</em>
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Congrats on making it to integrals!
Basically you need to integral your function because integral rate in respect to time = total amount.
Also your bounts are (2001-1990,2006-1990)=(11,16)
Thus we take integral like:
int(11,16)(928.5e^(0.0249x))=
(11,16)928/0.0249e^(0.0249(x))-928/0.0249e^(0.0249(x))
(You can check this by taking its derivative and seeing if you get the original function)
928/0.0249e^(0.0249(16))-928/0.0249e^(0.0249(11))=6498.1
Suppose f(x) is an even function. The range of g(x) = -3f(2x) is [-9, 3].
Suppose f(x) is an odd function. What is the range of 0.5f(x-3) is [-1.5, 0.5]
Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)