Step-by-step explanation:
Given functions are:
The operations on functions can be performed just as they are performed on polynomials
So
Combining like terms
Hence,
Keywords: Functions
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Gina wants to earn more than $100 selling candy bars. She has already earned $25 selling candy bars. The price of each candy bar
1 answer:
Gina needs to sell approximately 38 candy bars to make $100.
Data given;
- cost of one candy = $2
- amount already earned = $25
- Target amount = $100
Let x represent the total number of candy she needs to sell
Collect like terms
Divide both sides by the coefficient of x
Gina needs to sell 37.5 candy bars which is approximately 38 bars.
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Answer:
The points of the dilated figure would be at (-2, 10), (2, 6), and (-8, 4); an image of the figure is attached.
Step-by-step explanation:
First we translate the center of dilation and figure so the origin becomes the center of dilation.
Since the point (2, 2) is our center of dilation, we must translate it left 2 and down 2 to make the origin the center; this means we map every point
(x, y)→(x-2, y-2)
The scale factor of 2 means that each point will be multiplied by 2; this gives us the rule
(x, y)→(2x-4, 2y-4)
Lastly we will translate the figure right 2 and up 2 to move it back to its original position; this gives us the rule
(x,y)→(2x-4+2, 2y-4+2) = (2x-2, 2y-2)
The first point in the original figure, at the top, is (0, 6). Applying the transformation gives us
(0, 6)→(2*0-2, 2*6-2) = (0-2, 12-2) = (-2, 10)
The point on the right of the pre-image is (2, 4). Applying the transformation rule gives us
(2, 4)→(2*2-2, 2*4-2) = (4-2, 8-2) = (2, 6)
The point on the left of the pre-image is at (-3, 3). Applying the transformation rule, we have
(-3, 3)→(-3*2-2, 3*2-2) = (-6-2, 6-2) = (-8, 4)
Answer:
Yes, this is A Linear Function!
Step-by-step explanation:
This is a linear function beacuse linear functions are straight lines on the graph as you may know. So when we graph these numbers it turns up as a straight increasing linear line.
(I attached a pic for u)
Hope this helps!
<3 me if it did!
