Since slope intercept is y=mx+b, you first want to get rid of the 2x by subtracting it from both sides. after, you should end up with 4y=16-2x or 4y=-2x+16, they both are the same, but some teachers might prefer the slope first. after that, you want to get the y alone, so you divide everything by 4. you should end up with the slope intercept form being y=-2/4x+4, simplified to y=-1/2x+4.
$4.75 per movie and $5.75 per game. See picture for explanation.
Answer:
Minimum value of f(x) = -1.
Step-by-step explanation:
We convert it to vertex form:
x^2 - 6x + 8
= (x - 3)^2 - 9 + 8
= (x - 3)^2 - 1
The minimum value occurs when (x - 3)^2 = 0 because a square has a minimum value of zero ( it cannot be negative for real values of x).
So the function has a minimum value of -1.
Answer:
B. (13√2)/2
Step-by-step explanation:
Let L represent the length of one leg of the triangle. We note that the triangle is isosceles, so both legs are the same length. Then the Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs:
13² = L² + L²
13² = 2L²
13 = (√2)L
L = 13/√2 = (13√2)/2 . . . length of one leg
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To "rationalize the denominator", we multiply the fraction 13/√2 by (√2)/(√2). The result is (13√2)/2.
A geometric mean is often used when comparing different items—finding a single "figure of merit" for these items—when each item has multiple properties that have different numeric ranges.[1]<span> For example, the geometric mean can give a meaningful "average" to compare two companies which are each rated at 0 to 5 for their environmental sustainability, and are rated at 0 to 100 for their financial viability. If an arithmetic mean were used instead of a geometric mean, the financial viability is given more weight because its numeric range is larger—so a small percentage change in the financial rating (e.g. going from 80 to 90) makes a much larger difference in the arithmetic mean than a large percentage change in environmental sustainability (e.g. going from 2 to 5). The use of a geometric mean "normalizes" the ranges being averaged, so that no range dominates the weighting, and a given percentage change in any of the properties has the same effect on the geometric mean. So, a 20% change in environmental sustainability from 4 to 4.8 has the same effect on the geometric mean as a 20% change in financial viability from 60 to 72.</span>
