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Sever21 [200]
3 years ago
6

Why does a radical function with an even index only appear on one sode of the x-axis while a radical woth an odd index appears o

n both sides?
Mathematics
1 answer:
Vladimir79 [104]3 years ago
3 0

Consider the equation y = x^2. No matter what x happens to be, the result y will never be negative even if x is negative. Example: x = -3 leads to y = x^2 = (-3)^2 = 9 which is positive.

Since y is never negative, this means the inverse x = sqrt(y) has the right hand side never be negative. The entire curve of sqrt(x) is above the x axis except for the x intercept of course. Put another way, we cannot plug in a negative input into the square root function for this reason. This similar idea applies to any even index such as fourth roots or sixth roots.

Meanwhile, odd roots such as a cube root has its range extend from negative infinity to positive infinity. Why? Because y = x^3 can have a negative output. Going back to x = -3 we get y = x^3 = (-3)^3 = -27. So we can plug a negative value into the cube root to get some negative output. We can get any output we want, negative or positive. So the range of any radical with an odd index is effectively the set of all real numbers. Visually this produces graphs that have parts on both sides of the x axis.

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disa [49]

Answer: 40

Step-by-step explanation: first make the ratio into a fraction, 2/3

then make 24 into a fraction with the numerator as a variable and the denominator as 24, x/24

then cross multiply 2 and 24.

2x24=48

then divide 48 by 3, 16.

last add the number of lollipops to 16 and the answer is 40.

5 0
2 years ago
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vitfil [10]

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10

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4 0
3 years ago
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lapo4ka [179]

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7 0
2 years ago
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Plz answer this!!!!!!!!!
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Answer:

32

Explanation:

Since you're looking for the 4th term in the sequence, go ahead and replace the <em>n</em> with 4:

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which is equal to

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4 0
3 years ago
The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 5 ft long with a diamete
cluponka [151]

Answer:

Step-by-step explanation:

h = 5 ft

diameter = 2.4 ft

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Now, find the volume of the tank

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= 9.8

= 10 minutes

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2 years ago
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