Using the exponential function 2x² + 3, what is the average rate of change between the values 1 ≤ x ≤ 5?

12

Step-by-step explanation:

Firstly I did the the plugging in of the values 1 and 5 into the equation

So, 2(1)^2+3 =5 and 2(5)^2+3 = 53

Secondly, I need to do the remembering of the slope formula

So my answers above are my y’s and my x’s are the numbers I done plugged into the equation.

Remembering that slope =y2-y1/x2-x1, I be getting that (53-5)/(5-1)

And with that, my answer is the best number ever: 12

12

Step-by-step explanation:

Firstly I did the the plugging in of the values 1 and 5 into the equation

So, 2(1)^2+3 =5 and 2(5)^2+3 = 53

Secondly, I need to do the remembering of the slope formula

So my answers above are my y’s and my x’s are the numbers I done plugged into the equation.

Remembering that slope =y2-y1/x2-x1, I be getting that (53-5)/(5-1)

And with that, my answer is the best number ever: 12

4/6 = 2/3

so it should take 3/3 hours per man. so 9 hours is the answer 3*3 =9

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: