Please answer the question above.

Answer:

[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]

Step-by-step explanation:

Given

[tex]p =1[/tex] -- Leading coefficient

[tex]Zeros: 4\ and\ 3 - i[/tex]

Required

Determine the polynomial

Represent the zeros with a and b

Such that

[tex]a = 4[/tex]

[tex]b = 3 - i[/tex]

The polynomial is:

[tex]P(x) = p * (x - a) * (x - b)[/tex]

[tex]P(x) = 1 * (x - 4) * (x - (3 - i))[/tex]

However, to solve further: We need to symmetrise over 3-i  and its conjugate

[tex]P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))[/tex]

[tex]P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\[/tex]

To define a suitable function, the expression becomes

[tex]P(x) = (x - 4) * ((x - 3)^2+1)[/tex]

[tex]P(x) = (x - 4) * ((x - 3)(x - 3)+1)[/tex]

[tex]P(x) = (x - 4) * (x^2 - 6x + 9+1)[/tex]

[tex]P(x) = (x - 4) * (x^2 - 6x +10)[/tex]

Open bracket

[tex]P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40[/tex]

[tex]P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40[/tex]

[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]

Answer: 45$

Step-by-step explanation:

Given

Principal [tex]P=\$500[/tex]

Rate [tex]R=6\%[/tex]

time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

In the question, time is taken in months which is incorrect

Putting values

[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]

Answer:

not sure

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Answer:

Mr. Linx wages = x = $15

Mrs. Lynn wages = y = $17.50

Step-by-step explanation:

Mr. Linx wages = x

Mrs. Lynn wages = y

x + y = 32.50 (1)

35x + 37y = 1,172.50 (2)

From (1)

x = 32.50 - y

Substitute x = 32.50 - y into (2)

35x + 37y = 1,172.50

35(32.50 - y) + 37y = 1172.50

1137.5 - 35y + 37y = 1172.50

- 35y + 37y = 1172.50 - 1137.50

2y = 35

y = 35/2

y = 17.50

Substitute y = 17.50 into (1)

x + y = 32.50

x + 17.50 = 32.50

x = 32.50 - 17.50

x = 15

Mr. Linx wages = x = $15

Mrs. Lynn wages = y = $17.50

Answer:

$12

Step-by-step explanation:

42 divided by 7 is 6 so you just add the 6 that was originally subtracted die to the discount and you get 12.

Answer:

log(53.75) ≈ 1.73

Step-by-step explanation:

Not sure if this was a question but I just put it into my calculator.

Answer: x squared equals y

Step-by-step explanation:

Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Step-by-step explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,

[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]

i.e.

[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

Answer:

the answer is 4.5 in term of the measurement because Figure A has a larger scale and B has a smaller scale

Answer:

0.25

Step-by-step explanation:

Divide one side of Figure B by the congruent side of Figure A and you would get the scale factor.

If you multipy every side of figure A by 0.25 you would get the sides of figure B.

Hope this is helpful:)

26

Step-by-step explanation:

3x + 2x = 50 = 180

5x = 130

x = 26

Answer:

$22.02

Step-by-step explanation:

3(6.75)(1.0875) = 22.021875 ≈ $22.02 (Assuming the store rounds down.)

Answer:

35.859375?

Step-by-step explanation: ;-;

Given:

Principal = $400

Rate of interest = 6% compounded monthly

Time = 5 years.

To find:

The amount in the bank after 5 years.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.

Interest compounded monthly. So, [tex]n=12[/tex].

Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get

[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]

[tex]A=400\left(1+0.005 \right)^{60}[/tex]

[tex]A=400\left(1.005 \right)^{60}[/tex]

[tex]A\approx 539.54[/tex]

Therefore, the amount of money in the bank after 5 years is $539.54.

Answer:

7.692

Step-by-step explanation:

have a nice day :D

Answer: 1/3 or .33

Step-by-step explanation:

If we have 12 jelly beans and there is 8 grape jelly beans and 4 other jelly beans that arent 8 you add the numbers and get a denominator of 12 then you add the number of jellybeans you are focusing on which equals 4/12 then we simplify 4/12 into 2/6 then 1/3 and then we have 1/3! Hope this helps have a great day!

Answer:

y intercept is 4

Step-by-step explanation:

Answer:

1,4.560

Step-by-step explanation:

I am not so sure.

Answer:

13/4

Step-by-step explanation:

Answer:

A or C  Sorry!

Step-by-step explanation:

Answer:

4-6x=y2

Step-by-step explanation:

Answer:

a. f(-12) = 10

b. f(0) = 1

c. f(4) = -2

Step-by-step explanation:

In order to find the function of each of these numbers, you just need to replace them in the function as x and then solve:

a. f(-12) = 1 - 3/4(-12)

 - f(-12) = 1 - (-36/4)

 - f(-12) = 1 + 9

 - f(-12) = 10

b. f(0) = 1 - 3/4(0)

 - f(0) = 1 - 0

 - f(0) = 1

c. f(4) = 1 - 3/4(4)

 - f(4) = 1 - 12/4

 - f(4) = 1 - 3

 - f4) = -2

Answer:

9:14

Step-by-step explanation:

18:(18+4+6)

18:28

(18÷2);(28÷2)

9:14

Answer:

x=34

Step-by-step explanation:

132-64=

68/2=

34

PLEASE MAKE ME BRAINLIEST

Answer:

am gonna need more imformation

Step-by-step explanation:

Answer:

They have the same y-intercept of -6.

Answer:

radius = 10

(x-5)² + (y-11)² = 100

Step-by-step explanation:

The circumference is given, we get r = 20π/2π = 10

∴Equation of circle is (x-5)² + (y-11)² = 100

Answer:

hiii

Step-by-step explanation:

The minimum number of moves required for a given number of disks.

We have given that,

The sequences are number of moves 1, 3, 7, 15, 31, 63,

2,2, 4, 8, 16, 32, 64,

Compare the two sequences.

Each term in the sequence of moves is 1 less than the corresponding term in the sequence of differences.

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.

You can find any term in the sequence of moves using the formula

[tex]a_1=2^n-1[/tex]  

No one cares about the explanation good luck with your grade Bois.

The minimum number of moves required for a given number of disks.

To learn more about the sequence visit:

https://brainly.com/question/6561461

#SPJ2

Answer:

Each term in the sequence of moves is 1

less than the corresponding term in the

sequence of differences.

You can find any term in the sequence of

moves using the formula

Step-by-step explanation: