The third graph or bottom left graph represents ![f(x) = 0.2^{x} + 3.](https://tex.z-dn.net/?f=f%28x%29%20%3D%200.2%5E%7Bx%7D%20%2B%203.)
Step-by-step explanation:
Step 1:
To determine which of the given graphs represents the equation
, we substitute some values in the place of x.
When
![f(x) = 0.2^{x} + 3, f(0) = 0.2^{0} + 3= 4.](https://tex.z-dn.net/?f=f%28x%29%20%3D%200.2%5E%7Bx%7D%20%2B%203%2C%20f%280%29%20%3D%200.2%5E%7B0%7D%20%2B%203%3D%204.)
Anything with an exponent of 0 will equal 1.
So the graphs on the right side cannot be the answers.
Step 2:
Now we substitute another value to determine which graph represents ![f(x) = 0.2^{x} + 3.](https://tex.z-dn.net/?f=f%28x%29%20%3D%200.2%5E%7Bx%7D%20%2B%203.)
When
![f(x) = 0.2^{x} + 3, f(1) = 0.2^{1} + 3= 4.2.](https://tex.z-dn.net/?f=f%28x%29%20%3D%200.2%5E%7Bx%7D%20%2B%203%2C%20f%281%29%20%3D%200.2%5E%7B1%7D%20%2B%203%3D%204.2.)
The value of f(x) when
is lesser than the value of f(x) when ![x =0.](https://tex.z-dn.net/?f=x%20%3D0.)
So the third graph or bottom left graph represents ![f(x) = 0.2^{x} + 3.](https://tex.z-dn.net/?f=f%28x%29%20%3D%200.2%5E%7Bx%7D%20%2B%203.)
Answer:
5115
Step-by-step explanation:
a1(1-(r)^n)/1-r
5(1-(2.00)^10)/1-2.00
The tissue production
unit rate is _675000/5=135000_ tissues per day. <span>
<span>The box
production unit rate is_1250/5=250_ boxes per day. </span>
<span>The paper
company produces_135000/250=540_ times as many tissues per day as boxes per day. </span></span><span>
</span>
Answer:
<u>x = 1.2√2</u>
Step-by-step explanation:
Taking the cosine value of the angle :
- cos 45° = 1.2/x
- 1/√2 = 1.2/x
- <u>x = 1.2√2</u>