The linear function that models Rachel's distance as a function of time is:
D(x) = (70 mi/h)*x
<h3>
How to find a function that models Rachel's distance as a function of time?</h3>
Remember the relation between speed and distance:
Distance = Speed*Time.
Here we know that the speed of Rachel is 70 miles per hour, then if she drives for x hours, the distance traveled will be:
D(x) = (70 mi/h)*x
So we found a linear function that models Rachel's distance as a function of time.
If you want to learn more about linear functions:
brainly.com/question/1884491
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Answer:
All you have to do is to the distributive method.
Step-by-step explanation:
(7x+14)(9x-8)
Answer:
A. 14x14x28
B. The maximum volume is 5488 cuibic inches
Step-by-step explanation:
The problem states that the box has square ends, so you can express volume with:
Using the restriction stated in the problem to get another equation you can substitute in the one above:
Substituting <em>y</em> whit this equation gives:
Now find the limit of <em>x</em>:
Find the length:
You can now calculate the maximum volume:
Answer: $65 lol
Step-by-step explanation:
Answer: y = -3(x + )² + , ,
<u>Step-by-step explanation:</u>
First, you need to complete the square:
y = -3x² - 5x + 1
<u> -1 </u> <u> -1 </u>
y - 1 = -3x² - 5x
y - 1 = -3(x² +
y - 1 + -3() = -3(x² + + )
↑ ↓ ↑
=
y - 1 - = -3(x + )²
y - - = -3(x + )²
y - = -3(x + )²
y = -3(x + )² +
Now, it is in the form of y = a(x - h)² + k <em>where (h, k) is the vertex</em>
Vertex = ,