Answer:
3
Step-by-step explanation:
f(x) =2x+3
Let x=0
f(0) =2*0+3
Multiply
f(0) =0+3
Add
f(0) =3
The average rate of change of the function is: 3.2.
<h3>What is the Average Rate of Change for a Function?</h3>
Average rate of change = ![\frac{f(b) - f(a)}{b - a}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29%20-%20f%28a%29%7D%7Bb%20-%20a%7D)
Given the function,
, the average rate of change over the interval of x = 2 to x = 6 would be calculated as shown below:
a = 2
b = 6
f(a) = f(2) = 3.2(2) + 25 = 31.4
f(b) = f(6) = 3.2(6) + 25 = 44.2
Average rate of change = (44.2 - 31.4)/(6 - 2) = 3.2.
Learn more about average rate of change on:
brainly.com/question/11627203
Answer:
2x+46
Step-by-step explanation:
-2(x-5)+4(9+x), Multiply
-2x+10+36+4x, Combine like terms
Simplified= 2x+46
Set up a proportion:
![\frac{8}{270} = \frac{x}{72.5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B270%7D%20%3D%20%5Cfrac%7Bx%7D%7B72.5%7D%20)
The numerator represents fluid ounces of milk, and the denominator represents milligrams of calcium.
Simplify the first fraction to make multiplication easier:
![\frac{8}{270} \div \frac{2}{2} = \frac{4}{135}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B270%7D%20%5Cdiv%20%20%5Cfrac%7B2%7D%7B2%7D%20%3D%20%20%5Cfrac%7B4%7D%7B135%7D%20)
![\frac{4}{135} = \frac{x}{72.5}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B135%7D%20%3D%20%5Cfrac%7Bx%7D%7B72.5%7D%20)
Cross multiply the fractions:
![72.5 * 4 = 290](https://tex.z-dn.net/?f=72.5%20%2A%204%20%3D%20290)
![135x = 290](https://tex.z-dn.net/?f=135x%20%3D%20290)
Divide both sides by 135 to get x by itself:
![290 \div 135 = 2.1](https://tex.z-dn.net/?f=290%20%5Cdiv%20135%20%3D%202.1)
2.1 fluid ounces of milk provide 72.5 milligrams of calcium.