This is because simplifying the equation before solving it will lead you to the answer at a much faster rate. For example, in the given equation, the long way would be to distribute 2 to (x+3). Then, you transpose them and combine like terms. Until you get to x + 3 = 8. But if you simplify it first, you will see that it is straightforward. It will lead you to the answer right away which is x + 3 = 8. It saves you from the hassle of doing more algebra :)
To solve this problem, we
have to use the formula:
P = 1 - e^(-λx)
<span>where λ = 0.01382, and x
is the distance</span>
A. when x = 100
(P < or equal to 100) =
1 - e^(-0.01382 * 100)
(P < or equal to 100) =
0.75
B. when x = 200
<span>(P < or equal to 200) = 1 - e^(-0.01382 * 200)
(P < or equal to 200) = 0.94</span>
C. when 100 < x < 200
P (100 < x < 200) = P ((x < 100) + P(x > 200))
P (100 < x < 200) = 0.75 + (1 – 0.94)
<span>P (100 < x < 200) =
0.81 </span>
Answer:
423 Canadian dollars with 42 cents
Rules:
2: the number has to be even, ex: 46 & 82
3: add each digit, if it is divisible by 3, ex: 39, 3 + 9 = 12, which is divisible by 3, so 39 is divisible by three
4: if the number can be divided by 2 two times, 48 divided by 2 = 24 divided by 2 is 12. So 48 is divisible by 4
5: the last digit must be 0 or 5, ex: 45 and 120
6: the number should be even and divisible by 3, ex: 66, 66 is even and 6 + 6 can be divided by 3. so 66 is divisible by 6
9: add each digit, if it is divisible by 9. 189 = 1 + 8 + 9 = 18 can be divided by 9 so 189 is divisible by 9
10: the last digit must be 0, ex: 40 and 5600
Answers:
120- 2, 3, 5, 6, 10
125- 5
180- 2, 3, 5, 6, 9, 10
324- 2, 3, 6, 9
660- 2, 3, 5, 6, 10
Answer:
(g ° f)(x) = 12x² + 24x + 23
(f ° g)(x) = 36x² + 72x + 49
Step-by-step explanation:
Here we go. Firstly you have to rewrite f ° g into f(g(x)), that should make it clearer. We, then substitute every x in f by g(x). So:
f(g(x)) = 4(g(x))² + 8(g(x)) + 7
= 4(3x+2)²+8(3x+2)+7
= 4(9x²+12x+4) + 24x + 16 + 17
= 36x² + 48x + 16 + 24x + 16 + 17
finally.. you need to regroup like that:
f ° g(x) = 36x² + 72x + 49
The same thing for g ° f(x)
but this time you substitute by f(x) in g(x) instead.
