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2 years ago

3,425,645 rounded to the nearest hundred thousand?

Mathematics

1 answer:

irina1246 [14]2 years ago

8 0

You will take the 600 and round up the 5,000 for it to become 3,426,00

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Create a 3rd degree polynomial function with one zero at three. Sketch a graph

DedPeter [7]

Answer:

$f(x) = {x}^{3} - 9 {x}^{2} + 27x - 27$

Step-by-step explanation:

We want to create a third degree polynomial function with one zero at three.

In other words, we want to find a polynomial function with roots x=3 , multiplicity, 3.

Since x=3 is a solution, x-3 is the only factor that repeats thrice.

$f(x) = {(x - 3)}^{3}$

We expand to get:

$f(x) = x( {x}^{2} - 6x + 9) - 3( {x}^{2} - 6x + 9)$

$f(x) = {x}^{3} - 6 {x}^{2} + 9x- 3 {x}^{2} + 18x - 27$

This simplifies to:

$f(x) = {x}^{3} - 9 {x}^{2} + 27x - 27$

See attachment for graph.

4 0

3 years ago

What is the value of the variables?

iren [92.7K]

Answer:

x=9 and w=12

Step-by-step explanation:

To solve for w and x, create proportions between the two similar triangles.

$\frac{Big Side}{Big Side} =\frac{little side}{little side}$

where Big represents the bigger triangle an little represents the smaller triangle.

$\frac{8}{16}=\frac{w}{12+w}$

Cross multiply and solve for w.

8(12+w)=16(w)

96 + 8w = 16w

96 + 8w - 8w = 16w - 8w

96 = 8w

w=12

Repeat with a new proportion.

$\frac{8}{22}=\frac{12}{24+x}$

Cross multiply and solve for x.

8(24+x)=22(12)

192 + 8x = 264

8x = 72

x=9

6 0

3 years ago

PLEASE HELP

CaHeK987 [17]

Answer:

He must sell 800 bushels.

Step-by-step explanation:

Divide 2400 by 3, giving you 800.

3 0

3 years ago

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Make x the subject! urgent help

Serhud [2]

Answer:

$x = \frac{n}{b - {t}^{2} }$

Step-by-step explanation:

I supposed that is a "n".

Steps as below:

${t}^{2} = b - \frac{n}{x} \\ b - \frac{n}{x} = {t}^{2} \\ - \frac{n}{x} = {t}^{2} - b \\ \frac{n}{x} = - ( {t}^{2} - b) \\ \frac{n}{x} = b - {t}^{2} \\ n = x(b - {t}^{2} ) \\ x(b - {t}^{2} ) = n \\ x = \frac{n}{b - {t}^{2} }$

4 0

2 years ago

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A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short c

prisoha [69]

Answer:

A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions. a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor? b. For 95% confidence, determine the margin of error (+ lbf) c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators? d. lbf) if 50 insulators were tested.

Step-by-step explanation:

6 0

2 years ago