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Ket [755]
3 years ago
15

If f(6) if f(x)=x^2 / 3 + x

Mathematics
2 answers:
IgorC [24]3 years ago
8 0

Answer:

f(6) = 4

Step-by-step explanation:

We have given a function.

f(x) = x² / 3+x

We have to find the value of function when x is 6.

f(6) = ?

Now, putting x = 6 in given function , we have

f(6) = (6)² / 3+6

f(6) = 36 / 9

f(6) = 4 which is the answer.

MakcuM [25]3 years ago
6 0

Answer:

1) If the function is f(x)=\frac{x^{2}}{(3+x)}, f(6)=4

2) If the function is f(x)=x^{(2/3)}+x, f(6)=9.30

3) If the function is f(x)=\frac{x^{2}}{3}+x, f(6)=18

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

f(6) means that you must substitute x=6 into the function above.

1. If the given the function f(x)=\frac{x^{2}}{(3+x)}, you obtain:

f(6)=\frac{6^{2}}{(3+6)}=4

2. If the function is f(x)=x^{(2/3)}+x

Then:

f(6)=6^{(2/3)}+6=9.30

3. If the function is f(x)=\frac{x^{2}}{3}+x

Then:

f(6)=\frac{6^{2}}{3}+6=18

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A and B

Step-by-step explanation:

\frac{7x+6}{2}\leq 3x+2 < ==multiply\ both\ sides\ by\ 2\\2(\frac{7x+6}{2}\leq 3x+2)\\\\7x+6\leq6x+4 < ==subtract\ -6x\ from\ both\ sides\ \\-6x \ \ -6x\\\\x+6\leq4 < ==subtract\ 6\ from\ both\ sides\\-6 \ \ \ -6\\\\x\leq-2 < ==answer\ should\ be\ anything\ less\ than\ or\ equal\ to\ -2

Now, look at your answer choices, which options are less than or equal to -2?

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This statement is correct (-3 is < -2)

B. -2 ≤ -2 <== our original answer

This statement is correct (-2 is = to -2)

C. -1 ≤ -2

This statement is incorrect (-1 is > -2, not ≤ -2)

D. 0 ≤ -2

This statement is incorrect (0 is > -2, not ≤ -2)

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Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as:

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Z at 90% CI = 1.645

S = 10.70.

n = 25

Required

90% confidence interval for the population mean using the sample data.

Substituting the given parameters into the formula, we will have;

CI = 96.52 ± (1.645 * 10.70/√25)

CI = 96.52 ± (1.645 * 10.70/5)

CI = 96.52 ± (1.645 * 2.14)

CI = 96.52 ± (3.5203)

CI = (96.52-3.5203, 96.52+3.5203)

CI = (92.9997, 99.5203)

<em>Hence a 90% confidence interval for the population mean using this sample data is 92.9997<</em>\mu<em><99.5203</em>

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