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CaHeK987 [17]
3 years ago
13

Help ... If (x - 1) is a factor of x3 + x2 + kx - 2, find the value of k.

Mathematics
2 answers:
Norma-Jean [14]3 years ago
5 0

If (x-1) is a factor of the expression, that means that x=1 using the zero product property. A zero to this function is (1,0). Substitute this value into the equation to find the value of x.

y=3x+2x+1k-2 where (1,0) is a zero.

0=3+2+k-2

0=3+k

k=-3



Maru [420]3 years ago
3 0

x3+x2+kx-2 And (x-1) is a factor

so,

Substitute +1 in places of only x

(1)*3+(1)*2+k*(1)-2

3+2+k-2

5+k-2

3+k Now, as (x-1) is a factor Equate 3+k to Zero

3+k=0

k=-3

Hope it helped you!!!!!!

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a coin lands on heads 200 times. the relative frequency of heads is 0.4. how many times was the coin thrown?
Kazeer [188]

Answer:

The number of times coin thrown was <u>500</u>.

Step-by-step explanation:

Given:

A coin lands on heads 200 times. the relative frequency of heads is 0.4.

Now, to find the times coin was thrown.

Let the number of times coin thrown was be x.

Relative frequency = 0.4.

Number of lands on heads = 200.

So, to get the number of times coin was thrown we put formula:

Relative\ frequency=\frac{Number\ of\ lands\ on\ heads}{Number\ of\ times\ coin\ thrown}

0.4=\frac{200}{x}

<em>By cross multiplying we get:</em>

0.4x=200

<em>Dividing both sides by 0.4 we get:</em>

x=500.

Therefore, the number of times coin thrown was 500.

7 0
3 years ago
Read 2 more answers
An identification code is to consist of 3 letters followed by 2 digits. Determine the following
kirill [66]
Well let's see:

The first letter can be any one of 26 .
       For each one . . .
The second letter can be any one of the remaining 25.
       For each one . . .
The third letter can be any one of the remaining 24.
       For each one . . .
The two digits can be any number from 01 to 98 ...
       except 11, 22, 33, 44, 55, 66, 77, or 88.  (No repetition.)
      There are 90 of them.

So the total number of possibilities is    (26 · 25 · 24 · 90) .

When I multiply that out, I get   1,404,000 .

I don't know how you got your number, so I can't comment on your
method, but I did find something interesting about your number:

If I assume that you did the three letters the same way I did, then
if I divide your number by  (26·25·24), the quotient will show me
how you handled the two digits.

                         1,263,600 / (26·25·24)  =  81 .

That's very intriguing, because it's so close to the 90 sets of digits
that I used.  But I don't know what it means, or if it means anything
at all.
7 0
3 years ago
Read 2 more answers
Find the range for the measure of the third side of a triangle given the measures 5 and 9 for two of its sides.
Marrrta [24]
The answer is 4.....
6 0
3 years ago
Answer choices: (5,6) (5,2) (3,6) (3,2).
Degger [83]

Answer:

(3,6)

Step-by-step explanation:

If the starting point is the dot then we start from there - (4,4) then we go up 2 units at (4,6) then moving one unit to the left our answer is (3,6).

6 0
3 years ago
Please help asap!:)) and show work!
Vikki [24]

Answer:

The other acute angle = 33 1/3°

Step-by-step explanation:

Hard to read the angle measure.  

one acute angle = 56 2/3°      x =  the second acute angle

Find the other acute angles.

The two acute angles sum in a right triangle = 90°  

56 2/3° + x° = 90°

x =  90 - 56 2/3

x = 89 3/3° - 56 2/3°

x = 33 1/3°

8 0
3 years ago
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