Answer:
80%
Step-by-step explanation:
The percentage change between two numbers can be calculated as ...
percentage change = ((new value)/(old value) -1) × 100%
= (2700/1500 -1) × 100% = (1.80 -1) × 100% = 80%
Traffic volume increased 80%.
She should expect it to land on a even number 84 times
Answer:
<h2>
![(g \: \circ \: f)(0) = 17](https://tex.z-dn.net/?f=%28g%20%5C%3A%20%5Ccirc%20%5C%3A%20f%29%280%29%20%3D%2017)
</h2>
Step-by-step explanation:
f(x) = 2x + 4
g(x) = 4x² + 1
In order to find (g ∘ f)(0) we must first find
(g ° f )(x)
To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)
That's
<h3>
![(g \: \circ \: f)(x) = 4( ({2x + 4})^{2} ) + 1 \\ = 4(4 {x}^{2} + 16x + 16) + 1 \\ = {16x}^{2} + 64x + 16 + 1](https://tex.z-dn.net/?f=%28g%20%5C%3A%20%5Ccirc%20%5C%3A%20f%29%28x%29%20%3D%204%28%20%28%7B2x%20%2B%204%7D%29%5E%7B2%7D%20%29%20%2B%201%20%5C%5C%20%20%3D%204%284%20%7Bx%7D%5E%7B2%7D%20%20%2B%2016x%20%2B%2016%29%20%2B%201%20%5C%5C%20%20%3D%20%20%7B16x%7D%5E%7B2%7D%20%20%2B%2064x%20%2B%2016%20%2B%201)
</h3>
We have
<h3>
![(g \: \circ \: f)(x) = {16x}^{2} + 64x + 17 \\](https://tex.z-dn.net/?f=%28g%20%5C%3A%20%5Ccirc%20%5C%3A%20f%29%28x%29%20%3D%20%20%7B16x%7D%5E%7B2%7D%20%20%2B%2064x%20%2B%2017%20%5C%5C%20)
</h3>
Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)
We have
<h3>
![(g \: \circ \: f)(0) = 16( {0})^{2} + 64(0) + 17 \\](https://tex.z-dn.net/?f=%28g%20%5C%3A%20%5Ccirc%20%5C%3A%20f%29%280%29%20%3D%2016%28%20%7B0%7D%29%5E%7B2%7D%20%20%2B%2064%280%29%20%2B%2017%20%5C%5C%20)
</h3>
We have the final answer as
<h3>
![(g \: \circ \: f)(0) = 17](https://tex.z-dn.net/?f=%28g%20%5C%3A%20%5Ccirc%20%5C%3A%20f%29%280%29%20%3D%2017)
</h3>
Hope this helps you
Answer:
Step-by-step explanation:
53/4•2/6=1 11/12
Because you must turn 5 3/4 into an improper fraction. So 23/4•2/6. Next you are able to cross reduce because 2 goes into 2 and four so now you have 23/2•1/6 now just multiply across. 2•6=12 and 23•1=23 so now you have 23/12 which equals
1 11/12