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3 years ago

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. f(x) = -2x4 + 4x3 + 3x2 + 18

1 answer:

Nookie1986 [14]3 years ago

6 0

$f(x) = -2x^4 + 4x^3 + 3x^2 + 18$

$18:\{\pm1;\ \pm2;\ \pm3;\ \pm6;\ \pm9;\ \pm18\}\\2:\{\pm1;\ \pm2\}\\\\Answer:\boxed{\{\pm\frac{1}{2};\ \pm1;\ \pm\frac{3}{2};\ \pm2;\ \pm3;\ \pm\frac{9}{2};\ \pm6;\ \pm9;\ \pm18\}}$

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State the reason why MN = LK.

Fudgin [204]

I hope this helps you

5 0

3 years ago

163,160,157,... find the 42nd term

UNO [17]

Answer:

It's 40

Step-by-step explanation:

Arithmetic Sequence.

Common Difference:

160−163=−3

157−160=−3

d=−3

Explicit Formula:

an=a1+(n−1)d

a42=163+(41)(−3)

a42 = 40

6 0

3 years ago

Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V’W’X’Y’

pav-90 [236]

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So, the transformation is

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3 years ago

Factor 2x2 - 6x + 4 completely.

Tresset [83]

Answer:

2(x - 1)(x - 2)

Step-by-step explanation:

2x^2 - 6x + 4

= 2(x^2 - 3x + 2)

= 2(x - 1)(x - 2)

5 0

3 years ago

Independent random samples are taken at a university to compare the average GPA of seniors to the average GPA of sophomores. Giv

Marianna [84]

Answer:

Correct options is (A).

Step-by-step explanation:

A (1 - α)% confidence interval can be constructed to determine whether there is any difference between the average GPA of seniors and the average GPA of sophomores.

The hypothesis can be defined as:

H₀: There is no difference between the average GPA of seniors and the average GPA of sophomores, i.e. μ₁ - μ₂ = 0.

Hₐ: There is a difference between the average GPA of seniors and the average GPA of sophomores, i.e. μ₁ - μ₂ ≠ 0.

The (1 - α)% confidence interval for the difference between two means is:

$CI=(\bar x_{1}-\bar x_{1})\pm z_{\alpha /2}\times SE$

Decision rule:

If the confidence interval contains the mull value, i.e. 0, then the null hypothesis will be failed to be rejected and vice-versa.

The 95% confidence interval for the difference between the true average GPAs (seniors - sophomores) is (0.53, 1.61).

The 95% confidence interval dos not contains 0. Thus, the null hypothesis will be rejected.

Conclusion:

There is a significant difference between the average GPA of seniors and the average GPA of sophomores.

The 95% confidence interval for the difference between the true average GPAs (0.53, 1.61), implies that there is a 95% confidence that the average GPA of seniors is greater than the average GPA of sophomores.

Thus, the correct options is (A).

4 0

3 years ago