Y=3x+40
y=8x+20
when they are the same
3x+40=8x+20
x=4
so at 4 sessions they will be the same but the one that charges 8 per class will become more costly
Using translation concepts, it is found that the necessary transformations are given as follows:
- Reflection over the y-axis.
- Horizontal stretch by a factor of 2.
- Reflection over the x-axis.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The original function f(x) is given by:
The transformations are as follows:
- For the values of x, the function was multiplied by -1/2 and then 3 was added. Thus it was reflected over the y-axis, horizontally stretched by a factor of 2 and shifted left 3 units.
- Outside the domain, in the values of y, the function was multiplied by -1 and then subtracted by 1, hence it was reflected over the x-axis and shifted down one unit.
More can be learned about translation concepts at brainly.com/question/4521517
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The answer is 2. Imagine Maria can paddle 4 miles in either direction if there was no current in 2 hours. But if we add the current then we would subtract 2 when she goes upstream so she would get 4-2 which is 2 miles. And would get an extra 2 miles going downstream. So 4+2= 6 miles.
So the speed of the current is 2 mph.
Hope this helps!
Answer:
X = 25, Angles are 65 degrees
Step-by-step explanation:
3x-10 = x+40
2x=50
x=25