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2 years ago

6

What are the solutions to the polynomial equation? x²(x+2)(x+6)=0

1 answer:

yan [13]2 years ago

8 0

The solutions are x=0, x=-2, and x=-6.

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Find the slope of the line containing the points (7,5) and (9,5).

svet-max [94.6K]

Answer:

$\frac{2}{4}$

Step-by-step explanation:

Remember that in order to find the slope of two points you need to substitute the variables and subtract making sure you keep the 2's and the 1's together.

$m=\frac{y2-y1}{x2-x1}$

Plugin your numbers:

$=\frac{7-5}{9-5}$

$7-5=2$

$9-5=4$

$=\frac{2}{4}$

Hope this helps.

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3 years ago

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What is the surface area of the cylinder with height 5 mi and radius 6 mi? Round your answer to the nearest thousandth.

Delicious77 [7]

Step-by-step explanation:

Given

h = 5 mi

r = 6 mi

Surface Area of Cylinder =

$2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi(6)(5) + 2\pi ({6}^{2}) \\ = 2\pi(30) + 2\pi(36) \\ = 60\pi + 72\pi \\ = 132\pi \\ = 414.690 {mi}^{2} (nearest \: thousandth)$

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2 years ago

Read 2 more answers

One leg of a right triangle is 4 less than the other leg. The square of the hypotenuse of the right triangle is 80. How long are

Hitman42 [59]

I hope this helps you

6 0

3 years ago

Which statement is true about the parts of this expression? 5/6 + 1/4x - y The constant is 5/6. The only coefficient is 1/4. The

andriy [413]

Answer:

Step-by-step explanation:

1/4 is the coefficient

x and y is the variables

5/6 is the constant but there could be a equal to zero on the end giving you another constant

Therefor the only true statement is The only coefficient is 1/4.

4 0

3 years ago

A resident of Bayport claims to the City Council that the proportion of Westside residents

Kazeer [188]

Answer:

The test statistics is $z = -1.56$

The p-value is $p-value = 0.05938$

Step-by-step explanation:

From the question we are told

The West side sample size is $n_1 = 578$

The number of residents on the West side with income below poverty level is $k = 76$

The East side sample size $n_2=688$

The number of residents on the East side with income below poverty level is $u = 112$

The null hypothesis is $H_o : p_1 = p_2$

The alternative hypothesis is $H_a : p_1 < p_2$

Generally the sample proportion of West side is

$\^{p} _1 = \frac{k}{n_1}$

=> $\^{p} _1 = \frac{76}{578}$

=> $\^{p} _1 = 0.1315$

Generally the sample proportion of West side is

$\^{p} _2 = \frac{u}{n_2}$

=> $\^{p} _2 = \frac{112}{688}$

=> $\^{p} _2 = 0.1628$

Generally the pooled sample proportion is mathematically represented as

$p = \frac{k + u}{ n_1 + n_2 }$

=> $p = \frac{76 + 112}{ 578 + 688 }$

=> $p =0.1485$

Generally the test statistics is mathematically represented as

$z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2} ]} }$

=> $z = \frac{ 0.1315 - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688} ]} }$

=> $z = -1.56$

Generally the p-value is mathematically represented as

$p-value = P(z < -1.56 )$

From z-table

$P(z < -1.56 ) = 0.05938$

So

$p-value = 0.05938$

3 0

3 years ago