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shutvik [7]
3 years ago
5

In the data set below what is the mean absolute deviation 41,56,38,45,55,51,52

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0
All of these numbers are making me crazy
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Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k​
Nuetrik [128]

Answer:

\displaystyle k = \frac{34}{3}

Step-by-step explanation:

We are given the polynomial:

\displaystyle P(x) = 3x^3 - kx^2 + 5x + k

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k  \end{aligned}

This must equal zero. Hence:

\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3}  \end{aligned}

In conclusion, <em>k</em> = 34/3.

6 0
3 years ago
Find the percent of change and describe it as an increase or decrease. If necessary, round to the nearest tenth.
Zanzabum
B 25%percent increase is the answer
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3 years ago
I neeeeeeeeed help i will give brainliest to first answer
lys-0071 [83]

1.86 : 2 = 186 hundredths : 2

1.86 : 2 = 93 hundredths

1.86 : 2 = 0.93

4 0
3 years ago
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Darryl is considering a purchase of a $125,000 home at 6.5%. Under this rate,
raketka [301]

Answer:

122 months or just over 10 years

Step-by-step explanation:

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The alternating current (AC) breakdown voltage of an insulating liquid indicates its dielectric strength. An article gave the ac
Mnenie [13.5K]

Answer:

Attached as image png.

Step-by-step explanation:

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The boxplot is a method to represent a series of numerical data through their quartiles. In this way, the box diagram shows at a glance the median and quartiles of the data.

4 0
4 years ago
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