6. (a) By dividing through the equation x4 – 10x3 + 32x2 – 40x + 16 = 0 byx?
otherwise, solve the equation completely.
(b) Solve the equation x4 + x3 – 4x2-x + 1 = 0.
(c) Solve the following equation by dividing through by 4x2.
or

Answers

Answer 1

Answer:

(x-2)²(x²-6x+4) or (x-2)²(x-(3+√5))(x-(3-√5))

Step-by-step explanation:

x⁴ – 10x³ + 32x² – 40x + 16 = 0      divide equation

(x⁴-4x³+4x²)-(6x³-24x²+24x)+(4x²-16x+16) = 0

x²(x²-4x+4) - 6x(x²-4x+4) + 4(x²-4x+4) = 0

(x²-4x+4)(x²-6x+4) = 0

(x-2)²(x²-6x+4) = 0

x-2=0 or

x²-6x+4=0    ... roots: x = (6±√(-6)²-4*1*4) / 2 = (6±2√5) / 2 = 3±√5

x=2 or x=3±√5


Related Questions

Which one is not a characteristic of all parallelograms?

Answers

Answer:

Consecutive angles are supplementary is not character of parallelograms

which expression is equivalent to 20c-8d

Answers

Step-by-step explanation:

Your question is incomplete please edit it.

The answer is 4(5c-2d)

fyyyyyyyyyyyyyyyyyyyyyyyy

Answers

Answer:

Standard Form:

80.92

Expanded Form:

80 + 0 + 0.9 + 0.02 = 80.92

Standard Form:

67.03

Expanded Form:

60 + 07 + 0.0 + 0.03 = 67.03

Hope its correct :)

Answer:

what they said

Step-by-step explanation:

Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)

g(x) = 24x^{2} − x^{3}

concave upward at:

concave downward at:

Answers

Jambs dimahe de a su end dmkebudnr

quadratic equation has 5x+0 as a linear factor what value is a zero of the associated quadratic function.

It is not multiple choice

Answers

9514 1404 393

Answer:

  x = 0

Step-by-step explanation:

The zero is the value of x that makes the linear factor zero:

  5x +0 = 0

  5x = 0 . . . . . simplify

  x = 0/5 = 0 . . . . divide by 5

The associated zero is x = 0.

Yuki bought a pound of confetti for $ 12. What is the price, in dollars, per ounce of confetti? There are 16 ounces in 1 pound.

Answers

It’s 192. You had to multiply 12 x 16. Which you get 192. You have 12 pounds, and 1 is 16 ounces. So you have to multiply
It’s 192 dollars per ounce

Review Fractions:
1) 1/2x7/10
2) 2/4x2/3
3) 1/10x1/2
4) 1/10x1/2
5) 1/2x6/10

Answers

Answer:

1) 7/20

2) 1/3

3)1/20

4)1/20

5) 3/10

Step-by-step explanation:

Answer: 1) 7/20

2) 1/3

3) 1/20

4) 1/20

5) 3/10

Step-by-step explanation: 1) because we are multiplying fractions all we have to do is multiply the fractions numerator by numerator and denominator by denominator so 1x8=7 and 2x10=20 so 1/2x7/10=7/20

2) 2x2=4 4x3=12 so 2/4x2/3=4/12 now we can simplify so 4 divided by 4=1 and 12 divided by 4=3 so 1/3

3) 1x1=1 10x2=20 so 1/10x1/2=1/20

4) 1x1=1 10x2=20 so 1/10x1/2=1/20

5) 1x6=6 2x10=20 so 1/2x6/10=6/20 so now we have to simplify so 6 divided by 2=3 and 20 divided by 2=10 so 3/10

plz mark me brainliest

What’s the answer and how to get it done without me

Answers

Answer:uhmmmmm

Step-by-step explanation:

graph H is the answer!

3/5x(variable) + 5.6 = 45.6
SHOW STEPS PLEASE!

Answers

sorry i gave a bad answer

Line I is parallel to line m. If the
measure of Z6 is 75°, what is the
measure of 24?
1/2
473
B
5/6 = 75
7/8
Enter

Answers

Answer:

75

Step-by-step explanation:

alternate interior angles are always equal, so that means 6 = 4 = 75.

The system of equations 2y = 14 - 2x and y=-x+ 7 is
graphed. What is the solution to the system of equations?
yt
14
13
12
(0,-7)
11
10
9
(0,0)
8
7
6
2y = 14 - 2x
y = -x + 7
infinitely many
solutions
5
4
3
2.
1
no solution
0
0 1 2 3 4 5 6 7 8 9 10 11 12 x

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

Given system:

2y = 14 - 2x y = -x + 7

Divide the first equation by 2 and rearrange:

2y/2 = 14/2 - 2x/2y = 7 - xy = -x + 7

We got the same equation with the second one. It means we have two of the same lines overlapping.

This gives us infinitely many solutions.

Given a circle with diameter 12cm inside of a square, find the area of the shaded region.

Answers

Answer:

30.9 assuming the shaded area are the corner areas of the square not occupied by the circle

Step-by-step explanation:

solve for the area of the square by using the diameter of the circle area of the square=144 then solve for the area of the circle using the radius circle=113.1 the subtract from each other which would equal 30.9

Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons. If 9 vessels are randomly targeted and destroyed, what is the probability that no more than 1 vessel transporting nuclear weapons was destroyed

Answers

Answer:

0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

Step-by-step explanation:

Vessels are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons.

This means, respectively, that [tex]k = 5, N = 18[/tex].

9 vessels are randomly targeted and destroyed

This means that [tex]n = 9[/tex]

What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?

This is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,18,9,5) = \frac{C_{5,0}*C_{13,9}}{C_{18,9}} = 0.0147[/tex]

[tex]P(X = 1) = h(1,18,9,5) = \frac{C_{5,1}*C_{13,8}}{C_{18,9}} = 0.1324[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0147 + 0.1324 = 0.1471[/tex]

0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

Find the area of the semicircle. Round your answer to the nearest hundredth. YEAH IVE BEEN STUCK ON THIS help please I need the steps if possible:(

Answers

Answer:

your answer will be 127.17 sq in

Step-by-step explanation:

hope it helps you

have a wonderful day!!!

Answer:

=127.23

Step-by-step explanation:

we can start of by finding the area of a CIRCLE

18/2=9

9=radius

area of circle= pi*r squared

9 squared=81*pi=254.4690

Now we can half the area of the circle to find out the area of the semi circle as a semi circle is just half a circle therefore half the area of a circle

254.469/2=127.2345

127.2345=127.23

=127.23

Hope this helped

Given that the measure of ∠x is 90°, and the measure of ∠y is 64°, find the measure of ∠z.

Answers

Answer:

26°

Step-by-step explanation:

Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.

So, we have the values of angles x and y as 90° and 64°.

90 + 64 = 154°  ⇒ Add them up.

Now, subtract 154 from 180 to get ∠z.

180 - 154 = 26°

Jenna has a maximum of $38 to spend at the movies. A ticket costs
$8.50 and she has x, dollars to spend on snacks. Which inequality
represents all of the possible values for x?
A. x ≥ 29.50
B. x ≤ 46.50
C. x ≥ 46.50
D. x ≤ 29.50

Answers

D.

Why?

Because 37-8= 29.5
And you have a max of 29.5 to spend

You can spend 29.5 dollars or less (because that is the max)

One morning, the temperature in Urbana, Illinois, was 15° Fahrenheit. By evening, the temperature had dropped 25° Fahrenheit. What was the temperature (in °F) that evening?

Answers

The temperature started at 15 degrees.

It dropped 25 degrees.

Subtract 25 from 15:

15 - 25 = -10

The temperature was -10 degrees.

Work out the percentage change to 2 decimal places when a price of £200 is increased to £210.99.

Answers

Answer:

Let percentage be x%

According to the question

200+x%of 200=£210.99

X%of 200=£210.99-200

X/100×200=10.99

X=10.99/2=5.495% is required percentage.

Step-by-step explanation:

Please help!! PLEASE!!!

Answers

Answer:

30%

Step-by-step explanation:

subtract the post-discount price from the pre-discount price

64.99 - 45.49 = 19.50

divide the answer by the original price

[tex]\frac{19.50}{64.99}[/tex] = 0.30

multiply the answer by 100

0.30 x 100 = 30%

to check:

take the original number and multiply it by the decimal form of the percentgae:

64.99 x 30% (0.30) = 19.50

take the answer and subtract it from the orginal answer

64.99 - 19.50 = 45.49

21n over 9n in lowest terms

Answers

The answer is: 7n over 3n

Answer:

21n/9n

= 7n/3n

21n/9n in the lowest terms is 7n/3n

please show your work:
A crew of highway workers paved 3/15 miles in 15 minutes. If they work at the same rate, what portion of a mile will they pave in one hour?
a. 3/225
b. 4/5
c. 3/5
d. 1/20

Answers

Answer:

b . 4/5

60 :15 minute : 4

3 /15 x 4 = 12/15 = 4/5

I NEED HELP ASAP
FIND THE VALUE OF X IN THE FOLLOWING FIGURE

Answers

Answer:

x= 8

90+40=130

180-130=50

50-2=48

48/6=8

How to write
six hundred thirteen trillion, one billion, thirty-five million, two hundred eight thousand, three in standard notation

Answers

613,001,350,283.............

The price of an item has been reduced by 40%. The original price was $35. What is the price of the item now? ​

Answers

Answer:

$21 is the correct answer

Answer:

Step-by-step explanation:

First we have to find 1 percent of 35, and then we will multiply it by 40. So: 35/100 = 0.35

0.35 (40) = 14

35 - 14 = 21

So, the discounted price is now $21.

5 cakes shared between 3 people. what does each person recieved​

Answers

Answer:

Each person recieves 1.6 of the cakes.

Step-by-step explanation:

5 divided by 3 equals to 1.6.

Which of the lists of letters all have rotational symmetry?
C,H, N, X
N.O.S. Z
H.J.N.S
F.H. X. Z

Answers

Answer:

N, O, S, Z, which will be B

Step-by-step explanation:

what is 7/8 - 4/7 as a fraction

Answers

Answer:

17/56

7/8 - 4/7 = 17/56

Answer:

17/56

Step-by-step explanation:

Multiply 7 by 7 and get 49

Then Multiply 4 by 8 and get 32

Then we Multiply the Denominators 8×7= 56

that's how u get /56

now u look at the numerators 49/56 32/56

49-32= 17

thats how u Get 17/56

*
Question 2
If a calculator is sold for $15.95, then the revenue in dollars, R, generated by this item
is given by the formula R=15.959, where a represents the number of calculators sold.
Use the formula to determine the revenue generated by this item if 40 calculators are
sold.

Answers

Answer:

Answer is in the photo so you have so look in this give wribsite

The mass of the Sun is about 2 × 10^27 metric tons, or 2 × 10^30 kilograms. How many kilograms are in one metric ton?

Answers

Answer:

[tex]\frac{2 * 10^{30} }{2 * 10^{27} } = 10^{3} kg[/tex]

PLEASE HELP. I NEED ALL!!!!

y=6x if x = 1

y=6x if x = 2

y=6x if x = 3

y=6x if x = 4

y=.5x if x = 1

y=.5x if x = 2

y=.5x if x = 3

y=.5x if x = 4

y=-0.2x if x = 0

y=-0.2x if x = 1

y=-0.2x if x = 2

y=-0.2x if x = 3

Answers

1. y= 6
2. y= 12
3. y=18
4. y= 24
5. y=5
6. y= 10
7. y=15
8. y= 20
9. y=0
10. y= 0.2
11. y=0.4
12. y=0.6

Hope this helps!
I think it is 0.6 but I’m not sure
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