Is y^24 a perfect cube

Write an equation if you have the points (3,6) and (3,-4)

Oduvanchick [21]

Answer: y=6x-12

Step-by-step explanation:

5 0

3 years ago

Which of the following is true about the function y= 4 * 3tothepowerofx

xenn [34]

Only true statement for function f(x) = $4(3^{x})$ is c. if the value of x increases by 1, the value of y will triple.

Step-by-step explanation:

a. the function decreases

f(x) = $4(3^{x})$ , For value of x<1 function decreases and for x>1 function increases . False statement .

c. if the value of x increases by 1, the value of y will triple.

For value of x increases by 1 we have , $f(x) = 4(3^{x+1}) = 4(3^{x})(3) = f(x) (3) = y(3)$ . True statement.

b. the function has a y-intercept of (0, 3)

At y intercept x=0, f(x) = $4(3^{x})$ , $f(0) = 4(3^{0}) = 4$ . Function has a y-intercept of (0,3). False statement.

d. the function contains the point (1, 4)

At x=1, $f(1) = 4(3^{1}) = 12$ . Function contains (1,12) not (1,4) . False statement.

8 0

3 years ago

The polynomial of degree 4, P ( x ) has a root of multiplicity 2 at x = 4 and roots of multiplicity 1 at x = 0 and x = − 1 . It

Svetlanka [38]

To have roots as described, that means we have the following factors: From multiplicity 2 at x=1 has (x-1)^2 as its factor From multiplicity 1 at x=0 has x as a factor From multiplicity 1 at x = -4 has a factor of x+4 Putting these together we get that P(x) = A (x) (x+4) (x-1)^2 Multiply these out and find P(x) = A (x^2 + 4x) (x^2 - 2x + 1) A ( x^4 - 2x^3 + x^2 + 4x^3 - 8x^2 + 4x ) Combine like terms and find P(x) = A (x^4 + 2x^3 - 7x^2 + 4x) To find A, we use the point they gave us (5, 72) P(5) = A [ (5)^4 + 2(5)^3 - 7(5)^2 + 4(5) ] = 72 A [ 625 + 250 - 175 + 20 ] = 72 A [ 720 ] = 72 Divide both sides by 720 and find that A = 0.1 Final answer: P(x) = 0.1 ( x^4 + 2x^3 - 7x^2 + 4x) or P(x) = 0.1 x^4 + 0.2 x^3 - 0.7x^2 + 0.4x

4 0

3 years ago

Chi square Daphne likes to ski at a resort that is open from December through April. According to a sign at the resort, 20, perc

Marat540 [252]

Answer:

There is not enough evidence to suggest that the snow falls in Daphne's hometown does not follow the given distribution.

Step-by-step explanation:

The missing data for the random sample of 80 days between December and April with snowfall is:

Month Days

December 16

January 11

February 16

March 18

April 19

The Chi-square goodness of fit test would be used to determine whether the snow falls in Daphne's hometown followed the given distribution.

The hypothesis for the test can be defined as follows:

H₀: The snow falls in Daphne's hometown does not follow the given distribution.

Hₐ: The snow falls in Daphne's hometown followed the given distribution.

Assume that the significance level of the test is, α = 0.05.

The Chi-square test statistic is given by:

$\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}$

The value of Chi-square test statistic is computed in the Excel sheet below.

$\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}=8.383$

Compute the p-value as follows:

$\text{p-value}=P(\chi^{2}_{(4)}>8.383)=CHISQ.DIST.RT(8.383,4)=0.0785$

The p-value of the test is 0.0785.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

p-value = 0.0785 > α = 0.05.

The null hypothesis will not be rejected.

Conclusion:

There is not enough evidence to suggest that the snow falls in Daphne's hometown does not follow the given distribution.

4 0

4 years ago

How do you write 300450390 in expanded form

algol [13]

300000000+400000+50000+300+90= 300450390

Hope this helped! :)

7 0

4 years ago

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