Answer:
-7/10
Step-by-step explanation:
To find the slope of a line, you need to find the between two points. I will be using the points (-3, 5) and (7, -2).
=
=
= -7/10
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2 answers:
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Answer:
C. $25
Step-by-step explanation:
We will find,
The slope of the function using .
Taking the points (1,40) and (2,55).
Slope =
i.e. Slope =
i.e. Slope = 15
Substituting the slope and point (1,40) in the equation ,
We have,
i.e.
i.e. b= 25
Thus, the equation of the linear function is .
<em>This linear function represents the cost of the comic book since Lucy purchased it, where x= years.</em>
So, the initial value of the comic book is when x= 0.
So, i.e. y= 25
Hence, the cost of the book when Lucy purchased it was $25.
Answer:
- vertical scaling by a factor of -4
- horizontal translation 5 units left
- vertical translation 11 units up
Step-by-step explanation:
We notice that the multiplier of the squared term in f(x) is 0.5; in g(x), it is -2, so is a factor of -4 times that in f(x).
If we scale f(x) by a factor of -4, we get ...
-4f(x) = -2(x -2)² -12
In order for the squared quantity to be x+3, we have to add 5 to the value that is squared in f(x). That is, x -2 must become x +3. We have to replace x with (x+5) to do that, so ...
(x+5) -2 = x +3
The replacement of x with x+5 amounts to a translation of 5 units to the left.
We note that the added constant after our scaling changes from +3 to -12. Instead, we want it to be -1, so we must add 11 to the scaled function. That translates it upward by 11 units.
The attached graph shows the scaled and translated function g(x):
g(x) = -4f(x +5) +11
