Describe the range of a square root function
1 answer:
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Answer:
A hole at x=-4.
Step-by-step explanation:
This is a fraction so we have to worry about division by zero.
The only time we will be dividing by 0 is when x+4 is 0.
Solving the equation
x+4=0 for x:
Subtract 4 on both sides:
x=-4
So there is either a vertical asymptote or a hole at x=-4.
These are the kinds of discontinuities we can have for a rational function.
If there is a hole at x=-4, then x=-4 will make the top zero and can be cancelled out after simplification.
If is is a vertical asymptote, x=-4 will make the top NOT zero.
Let's see what -4 for x in x^2+6x+8 gives us:
(-4)^2+6(-4)+8
16+-24+8
-8+8
0
Top and bottom are 0 when x=-4.
Let's see what happens after simplication.
We are going to factor a^2+bx+c if factorable by finding two numbers that multiply to be c and add up to be b.
So what 2 numbers together multiply to be 8 and add up to be 6.
I hoped you said 4 and 2 because (4)(2)=8 where 4+2=6.
We we able to cancel out that factor that was giving us x=-4 is a zero.
Therefore there is a hole at x=-4.
Answer:
The answer is 63.31
Step-by-step explanation:
Answer:
(a) The value of <em>x</em> is 5.
(b) The value of <em>y</em> is 15.
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of electric toasters produced that require repairs within 1 year.
And the let the random variable <em>Y</em> represent the number of electric toasters produced that does not require repairs within 1 year.
The probability of the random variables are:
P (X) = 0.20
P (Y) = 1 - P (X) = 1 - 0.20 = 0.80
The event that a randomly selected electric toaster requires repair is independent of the other electric toasters.
A random sample of <em>n</em> = 20 toasters are selected.
The random variable <em>X</em> and <em>Y</em> thus, follows binomial distribution.
The probability mass function of <em>X</em> and <em>Y</em> are:
(a)
Compute the value of <em>x</em> such that P (X ≥ x) < 0.50:
Use the Binomial table for <em>n</em> = 20 and <em>p</em> = 0.20.
The least value of <em>x</em> that satisfies the inequality P (X ≥ x) < 0.50 is:
<em>x</em> - 1 = 4
<em>x</em> = 5
Thus, the value of <em>x</em> is 5.
(b)
Compute the value of <em>y</em> such that P (Y ≥ y) > 0.80:
Use the Binomial table for <em>n</em> = 20 and <em>p</em> = 0.20.
The least value of <em>y</em> that satisfies the inequality P (Y ≥ y) > 0.80 is:
20 <em>- y</em> = 5
<em>y</em> = 15
Thus, the value of <em>y</em> is 15.