Using translation concepts, the equation for function g is given by:
g(x) = 7x/3 + 1.
<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 either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Supposing that we have a function f(x), a horizontal compression by a factor of a is equivalent to finding f(ax).
In this problem, the function is:
f(x) = 7x + 1.
For the horizontal compression by a factor of 1/3, we have that:
g(x) = f(1/3x) = 7x/3 + 1.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
B={1,2,3,4,6and12}
n (B) =6
Step-by-step explanation:
<h3>Greetings !</h3>
Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.
Hope it helps!
2. the ans is C because 3 sides in option C keep the same ratio as the 3 sides of triangle NOP: 7.5/5=1.5, 10.5/7=1.5 and 13.5/9=1.5
3. the ans is D
just see from the point Q(16,4), after the first dilation, the x-coordinate of Q=16*0.25=4, then by subtracting 4 from the x-coordinate of point T (i.e. -2-4=-6), then you can see only option D has the x-coordinate (x-6), so it shows that it is the ans
4. i dont know about this.. sorry :(
What We Know:
She can buy up to 8 boxes. Each box had 32 hot dogs. She can't buy partial boxes.
What We Need To FInd Out:
Practical Domain and Range.
On a graph, domain is the x value, (on the horizontal line,) and range is the y value, (on the vertical line.) She can buy 8 boxes. Practically, she wouldn't buy zero boxes of hot dogs, so it's 1-8. She has 15 hot dogs already, so add that to the first 32. 47-271.
So, if I'm correct...
Domain: 1-8
Range: 47-271
Please let me know if this is helpful.
Answer:
Yes, it is proportional.
Step-by-step explanation:
Anything with "A =" is always going to be proportional.
