<span>x 2 3 4
f(x) 5.5 7 8.5 </span>
The first function is linear. When you subtract 5.5 from 7, you get 1.5 and when you subtract 7 from 8.5 you also get 1.5. That's how we know it's a linear function because there's clearly pattern. HOWEVER, if you had 5.5, 7, and 9 that would not be a linear function. Why? Because when you take away 7 from 9 you get 2. In order for it to be a linear function you have to get the same exact number when you subtract.
<span>x 0 3 6
f(x) 1 8 64</span>
The second function is exponential because when you divide you get the exact same number. 8/1 = 8 and 64/8 = 8. So this is exponential. But if you had 72 instead of 64 it would not be an exponential function because there has to be a pattern.
I hope this makes sense. Btw I had this question on my test too and this is correct.
Answer:
Step-by-step explanation:
Required to prove that:
Sin θ(Sec θ + Cosec θ)= tan θ+1
Steps:
Recall sec θ= 1/cos θ and cosec θ=1/sin θ
Substitution into the Left Hand Side gives:
Sin θ(Sec θ + Cosec θ)
= Sin θ(1/cos θ + 1/sinθ )
Expanding the Brackets
=sinθ/cos θ + sinθ/sinθ
=tanθ+1 which is the Right Hand Side as required.
Note that from trigonometry sinθ/cosθ = tan θ
<em><u>Question:</u></em>
? Liter equivalent to 0.000 000 000 013 cubic kilometers
How do we do it?´
<em><u>Answer:</u></em>
13 liter is equivalent to 0.000 000 000 013 cubic kilometers
<em><u>Solution:</u></em>
Given that,
? Liter equivalent to 0.000 000 000 013 cubic kilometers
So we have to convert cubic kilometer to liter
<em><u>Use the following conversion factor</u></em>
Therefore,
Thus, 13 liter is equivalent to 0.000 000 000 013 cubic kilometers
5/68
5 can go into 68 13 times with a remainder of 3
So we add a decimal point and a zero.
Carry the 3 and zero down making 30
5 can go into 30 6 times making the answer 13.6
Answer:
It is 17,18 and 19
Step-by-step explanation:
Consecutive numbers are
x, x+1, x+2
x+x+1+x+2=54
3x+3=54
-3 -3
3x=51
x=17
17
17+1=18
17+2=19
17, 18 and 19
