11. Given a polynomial P(x) = x³-4x²-5x is one of the zeroes.

a) Factorise P(x) completely
b) Sketch the graph of P(x)
C)Find the domain and range.​

Answers

Answer 1

Answer:

thats some tuff

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

P(x)=x³-4x²-5x=x(x²-4x-5)

=x(x²-5x+x-5)

=x[x(x-5)+1(x-5)]

=x(x-5)(x+1)

domain (-∞,∞)

range: (-∞,∞)


Related Questions

please help!!!!!!!!!!!

Answers

Answer:

pumpkin: 5

witch: 10

leaf: 50

bat: 20

ghost: 60

Answer:

Bat: 20

Pumpkin: 5

Ghost: 60

Leaf: 50

Witch: 10

use point slope form to write an equation of the line with the given slope that passes through the given point.

Answers

Answer:

A. y - 0 = 2 ( x + 2 )

Step-by-step explanation:

First you have to isolate y, by using A, the 0 can simply be forgotten about. Next, you must expand the equation, thus with 2 ( x + 2 ), it expands to:

y = 2x + 4

With this in mind, the b value is 4, and with a slope of 2, you can see that the equation eventually crosses the y-axis at 4.

The cost of a pair of shoes was reduced from $60 to $45.

By what percent did the cost of the pair of shoes decrease?


A 2.5%

B 25%

C 30%

D 35%

Answers

Answer:

B. 25%

Step-by-step explanation:

25 percent of 60 would be 15, then if you subtract 15 from 60, you end up with 45, meaning that 25 percent was subtracted.

The percentage is the ratio of change with respect to the original thus cost of a pair of shoes has been reduced by 25% thus option (B) will be correct.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The initial cost of a pair of shoes = $60

Final cost of a pair of shoes = $45

Change in cost = 60 - 45 = 15

The percentage change = change / initial value

Percentage = 15/60

⇒ 0.25 × 100 = 25%

Hence "The cost of a pair of shoes has been reduced by 25%".

For more about the percentage,

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What is the weight in pounds of the tank, as in the above case, if the tank itself weighs 20 lbs per ft of height? A. 63,424 lbs B. 42,241 lbs C. 16,151 lbs D. 10,605 lbs.

Answers

The answer should be C I’m pretty sure maybe

$39.70 + 6% tax equals????

Answers

Answer:

39.70 + 6 equals, (45.7)

Step-by-step explanation:

By simply adding them is how you get your answer.

Points J, K, and L are collinear one, and JL: LK = J is located at (-3,5), K is located at (1,-10) and Lis located at (x, y). What are the values of x and y?​

Answers

9514 1404 393

Answer:

  L = (x, y) = (1/5, -7)

Step-by-step explanation:

The given relation tells you ...

  (L -J)/(K -L) = 4/1

Cross-multiplying, we have ...

  L -J = 4(K -L)

  5L = 4K +J . . . . add 4L+J

  L = (4K +J)/5

  L = (4(1, -10) +(-3, 5))/5 = (4-3, -40+5)/5

  L = (x, y) = (1/5, -7)

Tasha started her homework at 3:45 pm she spent an hour and 20 minutes completing her homework. What time did she finish her homework

Answers

Tasha finishes at 5:05
She would finish at 5:05

Can someone help me find the coordinate??

Answers

Answer:

(2,4)

Step-by-step explanation:

Midpoint =

[tex]( \frac{x_1+x_2}{2} \frac{y_1 + y_2}{2} )[/tex]

Endpoint :

[tex]x = \frac{x_1 + x_2}{2} \\ y = \frac{y_1 +y _2}{2} [/tex]

The answer is (2, 4)
Have a nice day

Please Look at the picture

Answers

The answer for the blank should be -75

It turns into a positive and ends up with x=8

Hope this helps! :)

Bre works 12 hour shifts 3 days a week and makes $25.64 per hour. How much does Bre make in 1 week?

Answers

Answer:

923.04 $

Step-by-step explanation:

1 hour: 25.64 $

36 hour: x

x=36×25.64

x=923.04$

Answer:

Bre makes $923.04 in one week.

Step-by-step explanation:

First you have to multiply the 12 hours and the $25.64

25.64x12=307.68   Then if that equals $307.68 then Bre makes $307.68

in on day so then you take $307.68 and multiply it with the 3 days

307.68x3=923.04 So that equals $923.04 then Bre makes $923.04

a week. For (maybe) an easier way to figure this out you can just multiply  

12 and 3 first 12x3=36 then you can  multiply $25.64 and 36. 25.64x36=923.04 and you will still get the same answer.

Hope this helps:).

Have a nice day:).

Plz mark me brainliest:).

P.S.  What kind of job is Bre working that she make almost a thousand dollars

in three days lol.

Without the aid of the Wronskian, determine whether the given set of functions is linearly independent or linearly dependent on the indicated interval.

a. f1(x) = ln x, f2(x) = ln x^5, (0, [infinity])
b. f1(x) = x^n, f2(x) = x^n + 2, n = 1, 2, \ldots, (−[infinity], [infinity])
c. f1(x) = x, f2(x) = x + 8, (−[infinity], [infinity])
d. f1(x) = cos(x + π), f2(x) = sin x, (−[infinity], [infinity])

Answers

Answer and Step-by-step explanation:

Solution:

(a) The function. f1(x) = ln x, f2(x) = ln x^5 is linearly independent or not.

According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.

f1 = n. f2

Consider given function:

f1(x) = lnx f2(x) = lnx5

(b) Set of function f1(x) = x^n, f2(x) = x^n + 2, is linearly independent or not on the interval [-∞, ∞].

According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.

f1 = n. f2

Consider the given function:

f1(x) = xn f2(x) = xn+2

(c) f1(x) = x, f2(x) = x + 8, (−[infinity], [infinity])

Function is not linearly independent.

Linear independent theorem states that two functions f1 and f2 are linearly dependent if one can represent as the constant multiple of other.

F1= n.f2

(d) f1(x) = cos(x + π), f2(x) = sin x. [-∞, ∞]

According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.

f1 = n. f2

The given function:

f1(x) = cos(x + π)f2(x)

Which expression uses the associative property to make it easier to evaluate
8(1/4 x 3/5)?

A. (8 x 5/3) 1/4
B. 4(1/8 x 3/5)
C. 8(3/5 x 1/4)
D. (8 x 1/4)3/4

Answers

Answer: D

Step-by-step explanation:

Using associative property, [tex]8(\frac{1}{4}*\frac{3}{5}) \\[/tex] can be evaluated as 6/5 = 1.2.

What is associative property?

The associative property states that the sum or the product of three or more numbers does not change if they are grouped in a different way.

(A × B) × C = A × (B × C).

[tex]=8(\frac{1}{4}*\frac{3}{5}) \\\\=(8*\frac{1}{4}) *\frac{3}{5}\\ \\ = 2* \frac{3}{5} = \frac{6}{5} = 1.2[/tex]

Learn more about associative property here

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Using the Smith's BBQ Report, liquor sales for both weeks account for approximately what percentage of beverage sales for both weeks?
A 50%
B 40%
C 30%
D 20%

Answers

It’s a because of the beverage percentages

Answer:d

Step-by-step explanation:

Solve the system of equations
y= 2x + 3
y = x - 5

Answers

Answer:

This might be the answer- x=−8  y=−13

Step-by-step explanation:

Answer:

x = 2.66 repeating or 2[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

substitute y for x - 5

y = 2x + 3

x - 5 = 2x + 3

subtract 3 from both sides of the equation

x - 5 - 3 = 2x

x - 8 = 2x

subtract x from both sides of the equation

-8 = 2x - x

-8 = -3x

divide both sides of the equation by -3

-8/-3 = x

2.66 repeating = x

Round the numbers to the highest place value.

2 398-
56 254-
71 563-
33 021-
9 645-​

Answers

Answer:

[tex]2398 = 2000[/tex]

[tex]56254 = 60000[/tex]

[tex]71563 = 70000[/tex]

[tex]33021 = 30000[/tex]

[tex]9645 = 10000[/tex]

Step-by-step explanation:

Given

[tex]2398[/tex]

[tex]56254[/tex]

[tex]71563[/tex]

[tex]33021[/tex]

[tex]9645[/tex]

Required

Round up to highest place value​

[tex]2398[/tex]

Highest place value here is thousand.

So:

[tex]2398 = 2000[/tex], when approximated

[tex]56254[/tex]

Highest place value here is ten thousand.

So:

[tex]56254 = 60000[/tex], when approximated

[tex]71563[/tex]

Highest place value here is ten thousand.

So:

[tex]71563 = 70000[/tex] when approximated

[tex]33021[/tex]

Highest place value here is ten thousand.

So:

[tex]33021 = 30000[/tex] when approximated

[tex]9645[/tex]

Highest place value here is ten thousand.

So:

[tex]9645 = 10000[/tex] when approximated

Find the value of x
(6x+7) (8x-17)

Answers

Answer:

x=12

Step-by-step explanation:

6x+7=8x-17

-6x     -6x

7=2x-17

+17    +17

24=2x

÷2   ÷2

12=x

x=12

Each big square below represents one whole.

Answers

Answer:

[tex]51.5%[/tex]%

Step-by-step explanation:

We can see that each big square is made up of 10 x 10 = 100 small squares.

And we have one whole big square, plus 3 small squares shaded.

So we have 103 shaded squares out of 200.

Therefore percentage is [tex]103 / 200 * 100[/tex] = [tex]51.5%[/tex]%

Answer:

103%

Step-by-step explanation:

if you have 1 100 shaded thats 100% and the 3 on the other representes 3% so 100 plus 3 equals 103

What is the equation of the line that passes through the point -5, two and has a slope of -2/5

Answers

9514 1404 393

Answer:

  y -2 = (-2/5)(x +5)

Step-by-step explanation:

You can put the given values for the point ((h, k) = (-5, 2)) and slope (m = -2/5) into the point-slope form of the equation for a line:

  y -k = m(x -h)

  y -2 = -2/5(x +5)

_____

This equation simplifies to ...

  y = -2/5x

m∠3 + m∠6 =180° True or False?

Answers

Answer:

False. Because it is the answer.

Answer:

false

Step-by-step explanation:

I agree with the first guy

Given the following statement, what conclusion can be drawn using law of detachment?
If two angles are vertical, then they are congruent. Angles ABC and DBE are vertical.

Answers

Answer: Angles ABC and DBE are congruent

In the diagram g|| h, m<1=(4x+36) and m<2=(3x-3)

What is the measure of <3

Answers

Answer:

60°

Step-by-step explanation:

Since g||h the sum of angle 1 and angle 2 must be equal to 180

4x + 36 + 3x - 3 = 180

7x + 33 = 180

7x = 147

x = 21

The sum of angle 1 and angle 3 is equal to 180 because they are complementary angles

m<1 = 4x + 36 ➡ 4 × 21 + 36 = 120° so angle 3 = 60°

Please help me with this

Answers

Answer:

300

Step-by-step explanation:

I need help really quickly with this one!

Answers

Answer: A (y = 1)

Step-by-step explanation:

when dividing, dividing by 0 equals an undefined fraction, therefore, if y was equal to 1, it would cancel out the y - 1, making it 0. I hope that's right :0

If M the m А
B
D.
С
E

Answers

what. are. you. talking. about.

is 0.83 equal to 83/100

Answers

Answer:

Yes.

Step-by-step explanation:

83/100=0.83 : )

Answer:

Yes

Step-by-step explanation:

0.83 means that it's out of 100, if it was 1.0 that means that it would be 100, a full number.

83/100 means that it's out of 100 as well. If it were to be a whole number it would be 100/100

4/7+2/3=??

Please explain to :)

Answers

Answer: 1 5/21

Step-by-step explanation: change 4/7 into 12/21 and 2/3 into 14/21. Now that you have a common denominator, add the numerators. 26/21. Simplify into 1 5/21

Need help ASAP on a timer

Answers

Answer:

1/2

Step-by-step explanation:

The answer should be b

Without multiplying, determine the sign of the product (−247,634) × (183,758).

Answers

————————————————————————————
The sign of the product will be negative

What is the solution of a - 3 = -7

Answers

Answer:

-4

Step-by-step explanation:

take -3 to other side or        add 3 to both sides

So, a=-7+3

       =-4

A car travels at 60 mph for 2 minutes. How far does the car travel?

Answers

Answer:

2 miles

Step-by-step explanation:

Car travels at 60 miles/1 hour

1 hour has 60 minutes

Car travels at 60 miles/60 minutes, which can be reduced to 1 mile/1 minute

In 2 minutues, the car travels two miles

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