Which steps can be taken to translate the phrase “the height of a tree is increased by seven inches” into an algebraic expressio
2 answers:
Answer:
Replace “the height of a tree” with a variable, x
Replace “increased by” with an addition symbol
Replace “seven inches” with the number 7.
Write the expression X + 7
Step-by-step explanation:
we have the phrase
“The height of a tree is increased by seven inches”
so
Let
x------> the height of a tree
1) Replace “the height of a tree” with a variable, x
2) Replace “increased by” with an addition symbol (+)
3) Replace “seven inches” with 7.
4) Write the expression X + 7
therefore
The algebraic expression is
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We are given the function below;
PART A
We then proceed to find if the function has a minimum or maximum value. To find if the function has a minimum or maximum value. If the x^2 coefficient is positive, the function has a minimum. If it is negative, the function has a maximum.
ANSWER: From the above, we can see that x^2 is negative, hence the function has a maximum
PART B and C
To find the minimum or maximum value, we would plot the graph of the f(x). The graph can be seen below.
From the graph, the black point helps answer part A and part B.
ANSWER: The function's maximum value is f(x)=2.
This is the point where the slope of the graph is equal to zero
ANSWER: The maximum value then occurs at x= -1
We can also solve this by differentiating the function.
