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lesantik [10]
3 years ago
10

When x^3+kx^2-4x+2 is divided by x+2 the remainder is 26 find k?​

Mathematics
1 answer:
Llana [10]3 years ago
4 0

Answer:

  k = 6

Step-by-step explanation:

Using synthetic division, we find the remainder from the division to be ...

  remainder = 4k+2

Then we need to find k such that ...

  4k +2 = 26

  4k = 24 . . . . subtract 2

  k = 6 . . . . . .  divide by 4

The value of k is 6.

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What is the value of -42 +(5-2)(-3)?
SpyIntel [72]

Answer:

=-42+3-3

=-42-3+3

=-45+3

=-42

Step-by-step explanation:

this is the correct answer

please mark me as brainlist

6 0
3 years ago
Find a unit vector in the direction of the vector left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 8 2nd Row 1st Col
MrRissso [65]

Answer:

\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]

Step-by-step explanation:

We are required to find a unit vector in the direction of:

\left[\begin{array}{c}-8\\7\\2\end{array}\right]

Unit Vector, \hat{a}=\dfrac{\overrightarrow{a}}{|\overrightarrow{a}|}

The Modulus of \overrightarrow{a} =\sqrt{(-8)^2+7^2+(-2)^2}=\sqrt{117}

Therefore, the unit vector of the matrix is given as:

\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]

5 0
3 years ago
Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last
allochka39001 [22]

Answer:

A = {MOPN, MPON, PMON, POMN}

Step-by-step explanation:

Everyone has already agreed that Naim would be the last skater, so we have to make sure that the result has 'N' in each last place. As we can see, they all have this.

Now, we also have to make sure Oliver <u>not</u> first, because although they're trying to decide, the problem asks for the <u>complement</u> in which "Oliver is the first skater in the race."

A complement is all the values that are NOT in the set, so it cannot be A = {OPMN, OMPN) or A = {MOPN,MPON, OPMN, POMN), because they both have at least one case where 'O' is first.

A complement is ALL other values of the set, so it cannot be A = {MOPN, PMON}, because that set only shows two possible values.

Therefore, A = {MOPN, MPON, PMON, POMN} is your answer.

5 0
2 years ago
Read 2 more answers
Factor completely: <img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20" id="TexFormula1" title=" x^{2} " alt=" x^{2} " align="ab
Maurinko [17]
24  = 6 * 4
and 
6 + 4 = 10


so its the last choice.
6 0
3 years ago
Read 2 more answers
Is 7/9 greater then 8/9
maksim [4K]
No because 7/9= 0.777777777789 and 8/9= 0.888888888888889
6 0
3 years ago
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