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mezya [45]
3 years ago
5

Evaluate the function rule to find the range of each function for the domain.

Mathematics
1 answer:
aev [14]3 years ago
5 0
F(x) = x^2 - 6x + 4               {-3, 0, 5}   (x, y) x is the domain, y is the range.

plug in the domain numbers into the equation to find the range.

y = x^2 - 6x + 4
y = -3^2 - 6(-3) + 4
y = 9 - (-18) + 4
y = 9 + 18 + 4
y = 31                        (-3, 31)

y = x^2 - 6x + 4
y = 0^2 - 6(0) + 4
y = 0 - 0 + 4
y = 4                       (0, 4)

y = x^2 - 6x + 4
y = 5^2 - 6(5) + 4
y = 25 - 30 + 4
y = -1                       (5, -1)

c. {-1, 4, 31}

hope this helped, God bless!
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Thank you in advance
anzhelika [568]

A)  \sqrt[3]{x^4}

B) Decimal Form: 0.87358046

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mark brailiest please

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6 0
3 years ago
To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the
Mars2501 [29]

Answer:

No.

Step-by-step explanation:

The function is any equivalence relation in which there is only one output for every input. This means that the domain must be exhausted in order to gain all the elements of the range and each element of domain gets mapped to only one of the elements of the range. Vertical line test is used to determine whether a graph is a function or not. This test requires that vertical lines parallel to y-axis and including y-axis be drawn on the graph to see that each vertical line intersects the graph only once. This must be true for all the elements of the domain. Therefore, vertical line test requires to draw numerous vertical lines other than the y-axis since the definition of the function requires that. In short, mathematically, there will be a need for infinite number of vertical lines to perform the test. Therefore, Shayla is not applying the vertical line test correctly!!!

8 0
3 years ago
A recent survey based on a random sample of n=470 voters, predicted that independent candidate for the mayoral election will get
julsineya [31]

I have an expression

\sigma = \sqrt{p(1-p)/n}

floating around in my head; let's see if it makes sense.

The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is

E( (b-p)^2 ) =  (-p)^2(1-p) + (1-p)^2p = p(1-p)

That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:

\sigma = \sqrt{p(1-p)/n}

Plugging in the numbers,

\sigma = \sqrt{.24(1-.24)/490} = 0.019 = 1.9\%

One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.

So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.

7 0
4 years ago
Help me solve this pleaseee
Drupady [299]
Since they are equal to 90 degrees. (complimentary angles)

6x-11+7x+10= 90

Combine like terms.

13x-1= 90

Add one to both sides.

13x= 91

x= 7

Plug that into the b.

7(7)+10

49+10

59


I hope this helps!
~kaikers
3 0
3 years ago
Which of the following is the sum of both solutions of the equation <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2Bx-42%3D0"
AysviL [449]

Answer: x=6 or x=-7

Step-by-step explanation:

Step 1: Factor left side of equation: (x-6)(x+7)=0

Step 2: Set factors equal to 0: x-6=0 or x+7=0

Get your answer: x=6 or x=-7

5 0
3 years ago
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