1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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!!!!!!

You might be interested in
The perimeters of square region S and rectangular region R are equal. If the sides of R are in the ratio 2 : 3, what is the rati
Ksivusya [100]
<h2>Answer:</h2>

The ratio of the area of region R to the area of region S is:

                    \dfrac{24}{25}

<h2>Step-by-step explanation:</h2>

The sides of R are in the ratio : 2:3

Let the length of R be: 2x

and the width of R be: 3x

i.e. The perimeter of R is given by:

Perimeter\ of\ R=2(2x+3x)

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:

Perimeter=2(L+B) )

Hence, we get:

Perimeter\ of\ R=2(5x)

i.e.

Perimeter\ of\ R=10x

Also, let " s " denote the side of the square region.

We know that the perimeter of a square with side " s " is given by:

\text{Perimeter\ of\ square}=4s

Now, it is given that:

The perimeters of square region S and rectangular region R are equal.

i.e.

4s=10x\\\\i.e.\\\\s=\dfrac{10x}{4}\\\\s=\dfrac{5x}{2}

Now, we know that the area of a square is given by:

\text{Area\ of\ square}=s^2

and

\text{Area\ of\ Rectangle}=L\times B

Hence, we get:

\text{Area\ of\ square}=(\dfrac{5x}{2})^2=\dfrac{25x^2}{4}

and

\text{Area\ of\ Rectangle}=2x\times 3x

i.e.

\text{Area\ of\ Rectangle}=6x^2

Hence,

Ratio of the area of region R to the area of region S is:

=\dfrac{6x^2}{\dfrac{25x^2}{4}}\\\\=\dfrac{6x^2\times 4}{25x^2}\\\\=\dfrac{24}{25}

6 0
3 years ago
Read 2 more answers
The table below shows some inputs and outputs of the invertible function f etc ​
Snowcat [4.5K]

Answer:

(a)\ f^{-1}(-15) = -6

(b)\ f^{-1}(4) + f(9)=0

Step-by-step explanation:

Given

The attached table

(a)\ f^{-1}(-15)

This represents an inverse function.

So, we look into x row for its value.

i.e.

f^{-1}(-15) = -6

(b)\ f^{-1}(4) + f(9)

Just like (a)

f^{-1}(4) = -11 ---- by looking into the x rows

f(9) = 11

So:

f^{-1}(4) + f(9)=-11 + 11

f^{-1}(4) + f(9)=0

4 0
2 years ago
Write a recursive formula and an explicit formula for the following arithmetic sequence.
Serjik [45]

Answer:

Explicit: a₁=61    aₙ=a₁ -3ₓ(n-1)

Recursive: a₁=61    aₙ=aₙ₋₁ - 3

Step-by-step explanation:

Explicit: a₁=61    aₙ=a₁ -3ₓ(n-1)

Recursive: a₁=61    aₙ=aₙ₋₁ - 3

3 0
3 years ago
PLEASE HELP THIS IS DUE IN A COUPLE MINS
german

Answer:

The Lakota people and the Dakota people had similar methods of getting food,

building shelters, and making clothes. What is most likely true about these

tribes?

Each tribe developed these customs independently.

O The tribes lived in the same culture area.

O

The tribes were similar because they both followed United States

customs.

O It is impossible for a tribe to survive in North America without

following the customs shared by these two groups.

6 0
2 years ago
Which equation represents a line which is parallel to the line 2x+y=-8?A. y=− 1/2 x−4B. y=−2x+5C. y=2x+3D. y= 1/2x+2
katrin2010 [14]

Two lines that are parallel have the same slope. In its slope-intersect form, we can write the equation of a line with slope m and y-intercept b as:

y=mx+b

Step 1

Write the given equation in slope-intercept form and identify its slope m.

\begin{gathered} 2x+y=-8 \\  \\ 2x+y-2x=-2x-8 \\  \\ y=-2x-8 \end{gathered}

Thus:

m=-2

Step 2

Find the equation with the same slope m = -2. We need to identify which of them has -2 multiplying the variable x.

Answer

From the given options, the only one with the same slope m = -2, therefore parallel to the given line, is:

y=-2x+5\text{      (option B)}

4 0
1 year ago
Other questions:
  • Use Order of Operations to simplify. 42 – (28 ÷ 7) + 111
    10·2 answers
  • Please someone help me, and explain. :)
    5·2 answers
  • 4 over 15 × 10 over 8
    7·1 answer
  • Square ABCD and isosceles triangle BUC are drawn to create trapezoid AUCD. Square A B C D and triangle B U C are attached at sid
    12·2 answers
  • What numbers add up to -5 and multiply to get -90
    14·2 answers
  • I don’t understand this
    14·1 answer
  • What is 4÷92=,6÷58= in axon math
    15·1 answer
  • I dont get this question..
    15·1 answer
  • I'm emptying this account my new account has 2352 points
    6·2 answers
  • Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!