Using translation concepts, the equation of g(x) is 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.
For this problem, the parent function is given by:
For a horizontal compression by a factor of 1/5, we have to find f(1/5x), hence:
For a vertical stretch by a factor of 7, we have to multiply by 7, hence:
For a reflection in the y-axis, we have to find g(-x), hence:
For a translation of 10 units left, we have to find g(x + 10), hence:
For a translation of 1 unit down, we have to subtract one, hence:
More can be learned about translation concepts at brainly.com/question/28174785
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Answer:
x = 2 or x = 1 or x = 0 or x = -1 or x = -2
Step-by-step explanation:
Solve for x:
x^5 - 5 x^3 + 4 x = 0
The left hand side factors into a product with five terms:
x (x - 2) (x - 1) (x + 1) (x + 2) = 0
Split into five equations:
x - 2 = 0 or x - 1 = 0 or x = 0 or x + 1 = 0 or x + 2 = 0
Add 2 to both sides:
x = 2 or x - 1 = 0 or x = 0 or x + 1 = 0 or x + 2 = 0
Add 1 to both sides:
x = 2 or x = 1 or x = 0 or x + 1 = 0 or x + 2 = 0
Subtract 1 from both sides:
x = 2 or x = 1 or x = 0 or x = -1 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 2 or x = 1 or x = 0 or x = -1 or x = -2
Answer: Represents when the equation is at 5 gallons of water 1.5 pounds of salt is needed to have the correct salinity
Step-by-step explanation:
Answer:
Step-by-step explanation:
Notice that there are 6 sums of 7 on the table provided. For example rolling a 1 and then a 6 would produce a sum of 7.
The reason the answer is 12 and not 6 is that you need to double it for the two dice. Let's say one die was green and the other was blue. The green die could be the 1 and the blue die could be the 6. That is one favorable outcome, but it could be switched. Maybe the green die was 6 and the blue die was 1.
