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QveST [7]
3 years ago
11

Consider the polynomial P(x)=x³+kx²+x+6.Find the value of k so that x+1 is a factor of P.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
4 0

Answer:

The value of k will be -4      

Step-by-step explanation:

We have given polynomial P(X)=x^3+kx^2+x+6

It is given that x+1 is factor of the polynomial

And we have to find the value of k

As x+1 is the factor of polynomial  so x+1 = 0 that is x = -1 will be the root of polynomial

So if we put x = -1 in the polynomial then the p(-1) will be zero

So 0=(-1)^3+k(-1)^2-1+6

k=-4

So the value of k will be -4

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Given Circle M where d = 11, determine<br> The circumference.
Advocard [28]

Answer:

In this particular case, Circle M has circumference 11π, or approximately 34.6 units.

Step-by-step explanation:

The circumference of a circle of diameter d is C = πd.

In this particular case, Circle M has circumference 11π, or approximately 34.6 units.

8 0
2 years ago
Find the zeros of the function y = x^2-1.
kumpel [21]

Answer:

Step-by-step explanation:

x^2-1=0

Add  1 to both sides of the equation.

x^2= 1

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x = ± √ 1

Any root of  1  is  x = ± 1

First, use the positive value of the  ±

to find the first solution.

x= 1

Next, use the negative value of the  ±

to find the second solution.

x = − 1

The complete solution is the result of both the positive and negative portions of the solution.

x = 1 , − 1

4 0
3 years ago
Read 2 more answers
Write an equation of the line passing through the point (-8, -4) that is perpendicular to the line given by y= 1/6 x+3.
user100 [1]

Answer:

y+4=-6(x+8)  point-slope form

y=-6x-52 slope-intercept form

6x+y=-52 standard form

Step-by-step explanation:

Slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.

Lines that are perpendicular have opposite reciprocal slopes.

So the slope of y=(1/6)x+3 is 1/6.

The opposite reciprocal of (1/6) is -6.

So the equation for the line we are looking for is in the form:

y=-6x+b         (Since the slope of our new line is -6)

Now we want our line to go through (-8,-4).

So plug that in:

-4=-6(-8)+b

-4=48+b

Subtract 48 on both sides:

-52=b

The equation for the line we are looking for is

y=-6x-52.

Now you could do other forms.

Another one is point-slope form.

We already know it goes through (-8,-4) and a slope of -6.

Point slope form is: y-y1=m(x-x1) where m is the slope and (x1,y1) is a point on the line.

Plug in the information to get:

y-(-4)=-6(x-(-8))

y+4=-6(x+8)

I'm going to do one more form.

Standard form is ax+by=c where a,b,c are integers.

y=-6x-52

Add 6x on both sides:

6x+y=-52

6 0
3 years ago
Find the values of a through e that make these two relations inverses of each other
Blizzard [7]

Answer:

a = - 3.8, b = - 2.6, c = 1.7, d = 4.4 and e = 1.0

Step-by-step explanation:

Let us assume y = g(x) and y = h(x) are inverse of each other, where g(x) and h(x) are two different functions.

Then if a = g(b) then b = h(a).

Now, in the given table, a = - 3.8, b = - 2.6, c = 1.7, d = 4.4 and e = 1.0

Therefore, for those values of a, b, c. d and e the table in black will be an inverse function of the table in red. (Answer)

4 0
4 years ago
Read 2 more answers
Please help solve this problem
ICE Princess25 [194]

Answer:

C

Step-by-step explanation:

13/18 is .72222222

.5+.222=.722

3 0
2 years ago
Read 2 more answers
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