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3 years ago

Use the graph of the polynomial function to find the factored form of the

Mathematics

1 answer:

irga5000 [103]3 years ago

7 0

Answer:

A. (x - 3)(x + 3)

Step-by-step explanation:

From the graph the x-axis is crossed by the graph at different points which are;

x = 3 and x = -3

This means the solutions are : x = 3 and x =-3

The factors will form the following equation : (x - 3)(x + 3)

See attached

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A football team loses 3 yards, gains 12 yards, gains 10 yards, and then loses 15 yards. Did the team gain yards or lose yards ov

e-lub [12.9K]

Answer: the answer is 4

Step-by-step explanation:

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3 years ago

Suppose we roll a fair die and let X represent the number on the die. (a) Find the moment generating function of X. (b) Use the

Likurg_2 [28]

Answer:

(a) moment generating function for X is $\frac{1}{6}\left(e^{t}+e^{2 t}+e^{2 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$

(b) $\mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}$

Step-by step explanation:

Given X represents the number on die.

The possible outcomes of X are 1, 2, 3, 4, 5, 6.

For a fair die, $P(X)=\frac{1}{6}$

(a) Moment generating function can be written as $M_{x}(t)$ .

$M_x(t)=\sum_{x=1}^{6} P(X=x)$

$M_{x}(t)=\frac{1}{6} e^{t}+\frac{1}{6} e^{2 t}+\frac{1}{6} e^{3 t}+\frac{1}{6} e^{4 t}+\frac{1}{6} e^{5 t}+\frac{1}{6} e^{6 t}$

$M_x(t)=\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$

(b) Now, find $E(X) \text { and } E\((X^{2})$ using moment generating function

$M^{\prime}(t)=\frac{1}{6}\left(e^{t}+2 e^{2 t}+3 e^{3 t}+4 e^{4 t}+5 e^{5 t}+6 e^{6 t}\right)$

$M^{\prime}(0)=E(X)=\frac{1}{6}(1+2+3+4+5+6)$

$\Rightarrow E(X)=\frac{21}{6}$

$M^{\prime \prime}(t)=\frac{1}{6}\left(e^{t}+4 e^{2 t}+9 e^{3 t}+16 e^{4 t}+25 e^{5 t}+36 e^{6 t}\right)$

$M^{\prime \prime}(0)=E(X)=\frac{1}{6}(1+4+9+16+25+36)$

$\Rightarrow E\left(X^{2}\right)=\frac{91}{6}$

Hence, (a) moment generating function for X is $\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$ .

(b) $\mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}$

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4 years ago

there are three people who work full-time and are to work together on a project but their total time on the project is to be equ

Arturiano [62]

Sorry i don't understand too diffult

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4 years ago

The volume of a sphere that an artist plans to use in a sculpture is 11.0 m3. Determine its radius, r.

vlabodo [156]

Volume (sphere)=(4/3)πr³ ⇒r=∛(3v/4π)

Data:
v=11.0 m³

Therefore:

r=∛(3*11 m³/4π)=1.37964... m≈1.38 m

Answer: the radius is 1.38 m.

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3 years ago

The cost of a jacket increased from $50.00 to $60.00. What is the percentage increase of the cost of the jacket?

emmainna [20.7K]

Percent of increase formula: new-original/original

so, 60-50=10

10/50 = x/100

therefore x equals 20 so 20%

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4 years ago