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2 answers:
Let the function be represented by f(x).
Multiplying the number x by 4 results in 4x. Subtracting 2 from results give 4x - 2. So the function becomes:
f(x) = 4x - 2
Finding the inverse function:
Replace f(x) by y, and isolate x on one side of the equation and find the inverse:
Yes the inverse function represents the reverse process. Original function involved multiplication by 4 and then subtraction of 2. Inverse function involves addition of 2 and then division by 4. So the inverse represents the reverse of the given process.
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Answer:
<h2>Function 1 has the least minimum value and its coordinates are (2. - 7).</h2>Step-by-step explanation:
The first function is
The second function is
x g(x)
-2 2
-1 -3
0 2
1 17
The vertex has coordinates of , where
and
.
Let's find the vertex for the first function where and
.
Therefore, the vertex of the first function is at .
Now, the minimum value of the second function can be deducted from its table, which is .
Therefore, has -7 as minimum value and
has -3 as minimum vale.
So, the right answer is B, because -7 is less than -3.
Answer:
Ava and Liam have the same amount of money at 10th week.
Step-by-step explanation:
Given:
Amount Ava has in her piggy bank = $110
Amount spends per week = $5
Let the number of weeks be 'w'.
So we can say that.
Total amount Ava had after 'w' weeks =
Also Given:
Amount Liam has in her piggy bank = $20
Amount earns per week = $4
Let the number of weeks be 'w'.
So we can say that.
Total amount Liam had after 'w' weeks =
Now we need to find the number of weeks when both will have same amount.
So we can say that;
Total amount Ava had after 'w' weeks =Total amount Liam had after 'w' weeks
Combining like terms we get;
Dividing both side by 9 we get;
Hence Ava and Liam have the same amount of money at 10th week.