What is the value of expression 3(2x-y)+(3+x)^2 when x=4 and y=5 ?
1 answer:
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The complete question is
"On a piece of paper, graph f(x) = 4. (0.5)^x Then determine which answer choice matches the graph you drew."
The given function is an exponential function. The graph of option C is the correct answer.
<h3>What are exponential functions?</h3>When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
There usual form is specified below. They are written in several such equivalent forms.
For example,
, where a is a constant is an exponential function.
The function is given as
f(x) = 4. (0.5)^x
AS we can see that the given function is an exponential function.
Thus, the graph of option C is the correct answer.
Learn more about exponential here:
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Answer:
Part a)
Part b) The graph of the equation for Aubrey's balance is parallel to the graph of Elijah's balance
Part c) Parallel graphs mean that their slopes are the same and that they deposited the same amount of $125 per week into their account balance during the summer.
Step-by-step explanation:
<u><em>The correct question is</em></u>
Elijah and Aubrey have summer jobs. Elijah deposits the same
amount of money in his account every week. The equation y = 125x + 72 represents his bank balance any given week of the summer. Aubrey also deposits the same amount into her account every week. At the end of the third week she has $398. At the end of the sixth week she has $773.
a. Write an equation to represent Aubrey's bank balance any given week of the summer.
b. Would the graph of the equation for Aubrey's balance be parallel to the graph of Elijah's balance? Explain.
c. What do the parallel graphs mean in terms of the situation?
Part a)
Let
x ----> the number of weeks
y ----> represent bank's balance
we know that
<em>Elijah</em>
-----> equation A
<em>Aubrey</em>
we have the points
(3,398) and (6,773)
Find the slope m
Find the equation of the line in point slope form
we have
substitute
----> equation in point slope form
Convert to slope intercept form
----> Aubrey's bank balance
Part b)
Compare the equations
----> Elija's bank balance
----> Aubrey's bank balance
Remember that
If two lines are parallel, then their slopes are equal
In this problem the slopes are equal
therefore
The graph of the equation for Aubrey's balance is parallel to the graph of Elijah's balance
Part c) Parallel graphs mean that their slopes are the same and that they deposited the same amount of $125 per week into their account balance during the summer.