Please helppp fast!!Simplify (4x^5)^2 (x^10)^1/2
1 answer:
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Answer:
<h2>The time needed is 10 months.</h2>Step-by-step explanation:
The given points are (0, 3500) and (5, 1750).
First, we use the formula below to find the slope of the line
Which means the function is deacrasing with a ratio of 350 feet per month.
Now, we use the slope and one point to find the equation
This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.
Therefore, the time needed is 10 months.
Answer:
Function <u>#2</u> has a greater minimum.
#3 < #1 < #2
Step-by-step explanation:
In the picture attached, the question is shown.
The minimum of Function #1 is located at (3, -1). This is seen in the picture.
The minimum of Function #2 is located at (1.5, 1). We can see in the table that the function is symmetric respect 1.5 (half-point between 1 and 2).
The function y = x² + 3x - 4 has its minimum at its vertex:
x-coordinate of vertex: x = -b/(2a) = -3/(2*1) = -1.5
y-coordinate of vertex: y = (-1.5)² + 3(-1.5) - 4 = -6.25
So, the minimum of Function #3 is located at (-1.5, -6.25)
