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3 years ago

The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.

Mathematics

2 answers:

s2008m [1.1K]3 years ago

8 0

Answer:

its B

Step-by-step explanation:

Lerok [7]3 years ago

3 0

If you would like to find the factor that is missing from both sets of parentheses, you can calculate this using the following step:

10x^3 + 35x^2 - 4x - 14 = 5x^2 * (2x + 7) - 2 * (2x + 7)

The correct result would be 2x + 7.

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What is f(2) if f(x) = 2x-5 and f(4) if f(x) = -3x + 15<br> step by step please!

mash [69]

Answer:

f(2) = - 1 and f(4) = 3

Step-by-step explanation:

To evaluate f(2), substitute x = 2 into f(x), that is

f(2) = 2(2) - 5 = 4 - 5 = - 1

To evaluate f(4), substitute x = 4 into f(x)

f(4) = - 3(4) + 15 = - 12 + 15 = 3

8 0

3 years ago

To decorate the bulletin board,Wanda cut a length of ribbon into 7 equal sections,with a 16.2- inch piece of ribbon left over.Th

KIM [24]

Part A Equation and Solve: (16.2x7) Answer: 113.4

Part B Ribbon: 113.4 x4

Part C Combining: 340.2

4 0

3 years ago

A cellular phone company monitors monthly phone usage. The following data represent the monthly phone use in minutes of one part

Sergeu [11.5K]

Answer:

The standard deviation increased but there was no change in the interquantile range

Step-by-step explanation:

We are given the following data in the question:

320, 411, 348, 537, 420, 449, 462, 403, 454, 517, 515, 358, 438, 541, 387, 368, 502, 437, 431, 428.

n = 20

a) Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{8726}{20} = 436.3$

Sum of squares of differences =

13525.69 + 640.09 + 7796.89 + 10140.49 + 265.69 + 161.29 + 660.49 + 1108.89 + 313.29 + 6512.49 + 6193.69 + 6130.89 + 2.89 + 10962.09 + 2430.49 + 4664.89 + 4316.49 + 0.49 + 28.09 + 68.89 = 75924.2

$S.D = \sqrt{\frac{75924.2}{19}} = 63.21$

Sorted Data = 320, 348, 358, 368, 387, 403, 411, 420, 428, 431, 437, 438, 449, 454, 462, 502, 515, 517, 537, 541

$IQR = Q_3 - Q_1\\Q_3 = \text{upper median},\\Q_1 = \text{ lower median}$

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

$Median = \frac{431 + 437}{2} = 434$

$Q_1 = \frac{387 + 403}{2} = 395\\\\Q_3 = \frac{462 + 502}{2} = 482$

IQR = $482 - 395 = 87$

b) After changing the observation

0, 411, 348, 537, 420, 449, 462, 403, 454, 517, 515, 358, 438, 541, 387, 368, 502, 437, 431, 428

$Mean =\displaystyle\frac{8406}{20} = 420.3$

Sum of squares of differences =

176652.09 + 86.49 + 5227.29 + 13618.89 + 0.09 + 823.69 + 1738.89 + 299.29 + 1135.69 + 9350.89 + 8968.09 + 3881.29 + 313.29 + 14568.49 + 1108.89 + 2735.29 + 6674.89 + 278.89 + 114.49 + 59.29 = 247636.2

$S.D = \sqrt{\frac{247636.2}{19}} = 114.16$

Sorted Data = 0, 348, 358, 368, 387, 403, 411, 420, 428, 431, 437, 438, 449, 454, 462, 502, 515, 517, 537, 541

$Median = \frac{431 + 437}{2} = 434$

$Q_1 = \frac{387 + 403}{2} = 395\\\\Q_3 = \frac{462 + 502}{2} = 482$

IQR = $482 - 395 = 87$

Thus. the standard deviation increased but there was no change in the interquantile range.

5 0

3 years ago

Dimensions of a house are 300 feet by 125 feet. If 1 inch represents 50 feet, what are the dimensions of the house on the drawin

Lubov Fominskaja [6]

Answer:

divide 300 feet by 50 which is 6, divide 125 ft by 50 which is 2.5. Therefore your dimensions are 6 in by 2.5 in

if you're in putting in the computer it may want 2.5 in fraction form which is 2 1/2 in or in improper fraction form 5/2 in

Step-by-step explanation:

3 0

3 years ago

Use the subway train schedule below to answer the question.

Aliun [14]

Answer:

40 minutes

Step-by-step explanation:

The least common multiple of 8 minutes and 10 minutes is ...

LCM(8, 10) = 8·10/GCD(8, 10) = 80/2 = 40

The red and blue trains will arrive together again in 40 minutes.

6 0

3 years ago