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I am Lyosha [343]
3 years ago
7

Arrange in DESCENDING order14, 1/3, 1, 1/12​

Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0
If descending means from highest to lowest numbers, then 14, 1, 1/3, 1/12
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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
2 years ago
For each gym membership sold, the gym keeps $42 and the employee who sold it gets $8. What is the commission the employee earned
horrorfan [7]

Answer:

Commission of the employee = 16%

Step-by-step explanation:

It is given that:

Amount kept by gym = $42

Amount given to employee = $8

Total fee = 42 + 8 = $50

Commission rate = \frac{Commission}{Total\ fee}*100

Commission rate = \frac{8}{50}*100

Commission rate = 0.16 * 100 = 16%

Therefore,

Commission of the employee = 16%

4 0
3 years ago
Read 2 more answers
Can you find the perimeter of rectangle if you are given juat the measure of two sides?
Naddika [18.5K]
It depends, if the two sides given are adjacent to each other then yes. but you are given two opposite sides then no, because you don't know the length of one of the sides, thus not being able to calculate the perimeter
6 0
3 years ago
Let f (x comma y )f(x,y)equals=xx and let C be the segment of the parabola y equals 4 x squaredy=4x2 joining O(0 comma 0 )(0,0)
jeka57 [31]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

5 0
3 years ago
Plz help me with this
madreJ [45]

In order a0->a5: 1/3, 1, 3, 9, 27, 81

All you're doing is plugging the x-value in. So for a2, x=1, so y=3¹ which means y=3.

6 0
3 years ago
Read 2 more answers
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