Answer:
9
Step-by-step explanation:
3x+18+9x-27=99
12x-9=99
12x=108
x=9
Answer:
See Explanation
Step-by-step explanation:
Given
(every hour)
Required
Explain why it is linear
First, we need to determine the equation that represents the scenario
Let x be the number of hours worked and y be the number of figurines at x hours.
The equation is determined as follows:
This gives:
Reorder
A linear equation is of the form
By comparison,
is equivalent to
<em>Hence, we can conclude that the situation is linear</em>
Using translation concepts, it is found that the new intercepts are given as follows:
<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.
In this problem, the function was shifted one unit right, hence the rule for the translated function is given by:
(x,y) -> (x + 1, y).
The y-intercept is given by f(0), hence for the shifted function it will be f(-1). We have that f(x) is an odd function and f(1) = 3, hence f(-1) = -f(1) = -3.
The x-intercept is given by x when f(x) = 0, hence:
(0,0) -> (0 + 1, 0) = (1,0).
More can be learned about translation concepts at brainly.com/question/4521517
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120 inches.
This is because to find the scale factor, you have to take the square root of the area scale. This will give you 30-1 ratio. Then multiply the 4 by that number.
Your answer is D. There is a simple way of describing this. In the equation above, you can see '
'. This means that if the shape was shifted one unit left, it becomes -1 on the x-axis. The +1 value marks the distance from zero.
