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3 years ago

One zero of x3 – 3x2 – 6x + 8 = 0 is -2. What are the other zeros of the function?

1 answer:

7 0

Consider this solution, if it is possible, check the result:
1) if to divide polynomial 'x³-3x²-6x+8' on 'x+2' result is: x²-5x+4, then x³-3x²-6x+8=(x+2)(x²-5x+4);
2) x²-5x+4=(x-1)(x-4), then
3) x³-3x²-6x+8=(x+2)(x-1)(x-4).
4) zeros are: -2;1;4. Other zeros are: 1 and 4.
Answer: 1;4.

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If the volume of a prism is 30 ft3, what is the volume of a pyramid with the same base area and height?

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Answer:

10 ft cubed

Step-by-step explanation:

The volume of a pyramid is 1/3 the volume of a prism with the same base area & height.

30/3=10

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3 years ago

Write the equation of the line that passes through the given points. Include your work in your final answer. Type your answer in

Harman [31]

The equation you use for the slope of this kind of problem is (y2-y1)/(x2-x1). x1 is the first X coordinate, x2 is the second, y1 is the first y coordinate, y2 is the second.

(5-3)/(2-2)
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4 years ago

Use the t-distribution and the sample results to complete the test of the hypotheses. Use a significance level. Assume the resul

Ksenya-84 [330]

Answer:

Test statistic = 1.3471

P-value = 0.1993

Accept the null hypothesis.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4

Sample mean, $\bar{x}$ = 4.8

Sample size, n = 15

Alpha, α = 0.05

Sample standard deviation, s = 2.3

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 4\\H_A: \mu \neq 4$

We use two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{4.8 - 4}{\frac{2.3}{\sqrt{15}} } = 1.3471$

Now, we calculate the p-value.

P-value = 0.1993

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.

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3 years ago

while digging in the background, you find an old coin. its mass is 26.76 g qnd its volume is 3cm3. what is the coin made of?

tresset_1 [31]

Answer:

the coin is made of copper.

Step-by-step explanation:

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3 years ago

Determine whether the relationship between the two quantities is proportional. Explain.

ira [324]

Answer:

Option B. No, because the graph of the line connecting the ordered pairs does no pass through the origin.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line<u><em> and the line passes through the origin</em></u>

step 1

Connect the ordered pairs of the graph

The y-intercept is the point (0,20)

see the attached figure

That means, that the line not passes through the origin

therefore

The relationship between the two quantities is not proportional

7 0

3 years ago

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