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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:
Line JL=8
Step-by-step explanation:
Think of side KL as a, JK as b, and JL as c.
According to the 30-60-90 degree angles rule, if a is equal to one, then b would be equal to √3, and c would be equal to 2. Using this in your situation, we can find out that JL is 8 by dividing 4√3 by √3 to get side KL which would be 4, and multiply that by 2 to get side JL which is 8. Good luck on the quiz!
Answer:
200
Step-by-step explanation:
Let the total number of customers that day be "x"
30% of total customers bought a snack and that is 120.
So we can say:
30% of total (x) is 120
Note: 30% converted to decimal is 30/100 = 0.3
This can be translated to an algebraic equation as:
0.3x = 120
Now, we can solve for x, the total customers:
0.3x = 120
x = 120/0.3
x = 400
Since, 80% bought drink, we find 80% of 400:
80% = 80/100 = 0.8
0.8 * 400 = 320
The store sold 320 drinks and 120 snacks. So drinks outweigh snacks be:
320 - 120 = 200
So,
200 more drinks than snacks
