How do you simplify the expression q(x) = (x² + x - 1) × (x² - x - 1)?

Answers

Answer 1

Answer:

q=−3x3+4x2−x

hope this helped :)

Step-by-step explanation:


Related Questions

Can someone help me? I had the notes in my notebook but I threw it away when it got full, not thinking that I was ever gonna need these notes again.. ;,)

Answers

1. The mistake is in the second line (didn't fully distribute)
2. The mistake is in the second line (didn't properly add 4p and 7p)

Please help asap!!!!!!!!!!!!!!!!

Answers

Answer: ok what do you need help with

Step-by-step explanation:

Which expression is equivalent to -3 1/8 minus 2 1/2

Answers

-25/8 minus 5/2
(You just turn them into improper fractions)

Answer:

-5 5/8

Step-by-step explanation:

A negative minus a positive is essentially a negative plus a negative! The two values will add on top of each other to create a larger negative number.

I'd recommend turning the mixed numbers into improper fractions: 25/8 and 5/2. Then, make sure their denominators are equal by multiplying 5/2 by a "big one" or 4/4. This should get you 20/8.

Now, solve for -25/8 - 20/8 to get -45/8. Turn that number into a mixed number, and you have your answer!

AYUDAAA porfavorrrr primera urna 6 bolas verdes y 3 rojas segunda urna 3 verdes, 3 blancas y 3 rojas tercera urna 6 verdes, 1 blanca y 2 rojas a) si sacan una bola de la primera urna que color es más probable de que se obtenga b) calculen las probabilidades de sacar una bola verde, una roja y una blanca de cada urna c) si quieren tomar una bola verde que urna elegirian d) supongan que sacan una bola verde de la tercera urna y no la regresan, lo que se conoce como extraccion sin reemplazo ¿que probabilidad tiene cada bola de salir en la siguiente extraccion?

Answers

We have the following information:

first urn: 6 green balls and 3 red ones

total: 6 + 3 = 9

second urn: 3 green, 3 white and 3 red

total: 3 + 3 + 3 = 9

third urn: 6 green, 1 white and 2 red

total: 6 + 1 + 2 = 9

a) A green ball is more likely to be obtained, since there are more green balls than red balls, which makes the probability higher.

b) probability of drawing a green, red and white ball.

first urn:

green = 6/9 = 66.66%

red = 3/9 = 33.33%

white = 0/9 = 0%

second urn:

green = 3/9 = 33.33%

red = 3/9 = 33.33%

white = 3/9 = 33.33%

third urn:

green = 6/9 = 66.66%

red = 2/9 = 22.22%

white = 1/9 = 11.11%

c) it would be chosen where the probability of drawing green would be the highest, which means that it would be possible both in the first and in the third ballot box, the probability is equal 66.66%

d) without a green ball, the third ballot box would look like this:

5 green balls, 2 red balls and 1 white ball, with a total of 8.

The probability of drawing would be:

green = 5/8 = 62.5%

red = 2/8 = 25%

white = 1/8 = 12.5%

The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.

leg: 29 m; hypotenuse: 46 m


54.4 m

35.7 m

40.9 m

50.5 m

Answers

The square root of 46^2m - 29^2m
The answer is approximately 35.707 which is option B 35.7m

The length of the third side of a right triangle is 35.7 m

What is a right triangle?

"It is a triangle whose one of the angle measures 90° "

What is hypotenuse?

"It is the longest side of the right triangle."

What is Pythagoras theorem?

"For a right triangle, [tex]x^{2} + y^{2}= z^{2}[/tex]

where z is the hypotenuse and x, y are other two sides of the right triangle."

For given question,

We have been given the two sides of a right triangle.

leg = 29 m; hypotenuse = 46 m

Let 'a' be the other leg of the right triangle.

Using Pythagoras theorem,

[tex]\Rightarrow a^{2} + 29^{2}= 46^{2}\\\\\Rightarrow a^{2}=46^{2}- 29^{2} \\\\\Rightarrow a^{2}=2116-841\\\\\Rightarrow a^{2} = 1275\\\\\Rightarrow a=\sqrt{1275}\\\\\Rightarrow a=35.7[/tex]

Therefore, the length of the third side of a right triangle is 35.7 m

Learn more about the Pythagoras theorem here:

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2. What is the width of this ornament if the volume is 2,226.09 cm^3?
A. 16.2 cm
B. 10.5 cm
C. 20.10 cm
D. 8.1 cm

Answers

Answer:

A. 16.2 cm

Step-by-step explanation:

I took the test

The width of ornament is 16.2 cm.

What is Volume of sphere?

The formula for the volume of a sphere is V = 4/3 πr³.

As, the ornament is in shape of sphere.

Volume of sphere= 4/3 * π * r³

2226.09 = 4/3* 3.14 *  r³

r³= 2226.09  * 3 / 4*3.14

r³= 6,678.27  / 12.56

r³ = 531.7093949044586

r= 8.101

Hence, width = 2* 8.101= 16.2 cm

Learn more about volume of sphere here:

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10. Susan went out and bought 2 packs of toilet paper and 4 containers of Clorox wipes for $46. She told her friend where she found them and her friend went out and bought 1 pack of toilet paper and 3 containers of Clorox wipes for $27. How much did a pack of Clorox wipes cost? *

Answers

Answer:

$9

Step-by-step explanation:

Let's make the price of toilet paper x, and the clorox wipes y.  We can then use the given information to create a system of equations.

Our equations are 2x+4y=36 (because 2 packs of toilet paper and 4 containers of Clorox wipes cost $46) and x+3y=27 (because 1 pack of toilet paper and 3 containers of Clorox wipes cost $27). Now, let's solve!

2x+4y=36 (1)

x+3y=27 (2)

2x+6y=54 (3)  (i just mutiplied (2) by 2 so that i could eliminate x)

2y=18 (3)-(1)

y= $9/pack

what is the solution to this expression[tex]\frac{4}{x^{2} \cdot t} \frac{x}{t^{2} }[/tex]

Answers

Answer:

4/xt 3 sqaured

Step-by-step explanation:

Blake walked 7/8 Ora a mile in 1/5
of an hour. If Blake continued walking at the same rate, what is the distance he would travel in one hour?

Answers

Answer:

4.375 miles

Step-by-step explanation:

7/8/12=x/60

12x=60(7/8)

12x=52.5

x=4.375

Liam is a tyre fitter.
It takes him 124 minutes to fit 4 tyres to a lorry.
a) How long would it take him to fit 6 tyres to a lorry?
b)
If he works for 93 minutes, how many tyres can he fit?

Answers

The number of the minutes for loading 6 tires to a truck will be 186. If he works for 93 minutes. Then the number of tires can he fit will be 3.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Liam is a tire fitter.

It takes him 124 minutes to fit 4 tires to a truck.

The number of minute for the loading of one tire will be

⇒ 124 / 4

⇒ 31 minutes per tire

a) Then the number of the minutes for loading 6 tires to a truck will be

⇒ 31 × 6

⇒ 186 minutes

b) If he works for 93 minutes. Then the number of tires can he fit will be

⇒ 93 / 31

⇒ 3 tires

The number of the minutes for loading 6 tires to a truck will be 186. If he works for 93 minutes. Then the number of tires can he fit will be 3.

More about the ratio and the proportion link is given below.

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Dan and Stephen are playing basketball. The ratio of points scored by Dan to Stephen is 4 to 3. Which of the following could NOT be the total number of points scored between the two?

Answers

Where are the options?

When Wyatt commutes to work, the amount of time it takes him to arrive is normally

distributed with a mean of 45 minutes and a standard deviation of 3 minutes. Using

the empirical rule, what percentage of his commrtes will be between 36 and 54

minutes?

Answers

Answer:

Step-by-step explanation:

Using the Empirical Rule, it is found that 99.7% of his commutes will be between 36 and 54 minutes.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of  the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, considering a mean of 45 minutes and a standard deviation of 3 minutes, we have that:

36 = 45- 3 x 3

54 = 45 + 3 x 3

Within 3 standard deviations of the mean, hence, 99.7% of his commutes will be between 36 and 54 minutes.

More can be learned about the Empirical Rule at brainly.com/question/24537145

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You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of spinning an odd number, flipping heads, then spinning a 3 is .

Answers

Image of spinner is attached.

Answer:

Probability of the compound event is [tex] \frac{1}{9} [/tex]

Step-by-step explanation:

Given that the spinner contains 3 numbers: 1, 2, & 3.

A coin has 2 outcomes, a head & a tail.

Lets take,

P(A) = event of spining an odd number

P(B) = event of flipping heads

P(C) = event of spinning a 3

We now have:

P(A) = [tex] \frac{2}{3} [/tex]

P(B) = [tex] \frac{1}{2} [/tex]

P(C) = [tex] \frac{1}{3} [/tex]

They are all independent events

Probability of the compound event would be derived by multiplying all the events.

P= P(A) * P(B) * P(C)

[tex] = \frac{2}{3} * \frac{1}{2} * \frac{1}{3} = \frac{1}{9} [/tex]

Probability of the compound event is [tex] \frac{1}{9} [/tex]

Solve fraction 2/3x -1/2=1/6x-1/9

Answers

Answer:

Exact Form: x=7/9  Decimal Form: 0.7 (repeating)

Step-by-step explanation:

Hope this helps!! :)

helpp pt.4 plzzzzzz​

Answers

Answer:a and c

Step-by-step explanation:

you go shopping and your bill comes to $54 the sales tax added equals 7% what is the amount of sales tax added to your bill

Answers

Answer:

$3.78

Step-by-step explanation:

find 107%(100%=$54+7%=107%)

54*107/100= $57.78

find the amount of sale tax

57.78-54=$3.78

Can you please help me with this question please and i will give you a Brainiest

Answers

Answer:

They all end in 0 or 5

Step-by-step explanation:

Answer:

They all end in 0 or 5.

Step-by-step explanation:

15, 20, 25, and 30 all end in either 0 or 5.

Find the volume of the prism.
10 points
3 in.
11 in.
18 in

Answers

Answer: 594 in^3

Step-by-step explanation:

3*11*18=594 in^3

This is the rectangular prism formula.

what is the probability of not drawing a green marble? If there are 6 blue, 9 red, 5 green

Answers

Answer:xxxxxxxxx

ggggggggxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Step-by-step explanation:

Wendy earned $14 per hour for x hours, plus a bonus of $50. Write an expression that represents how much Wendy earned. plz answer fast.

Answers

Answer:

W(x) = $50 + ($14/hr)x

Step-by-step explanation:

hope this helped

Pedro is playing a game where he has to roll a fair number cube with faces labeled from 1 to 6. What is the probability that he will roll either a 2, 3, or a 4 on his next roll?

Answers

Answer:

50%

Step-by-step explanation:

Hope it helps

Find the solution to x^2=64

Answers

Answer:

[tex] \boxed{x = 8} [/tex]

Step-by-step explanation:

[tex] = > {x}^{2} = 64 \\ \\ = > {x}^{ \cancel{2}} = {8}^{ \cancel{2}} \\ \\ = > x = 8[/tex]

What is the slope of the line y = 20x?

Answers

Answer:the slope is 20

Step-by-step explanation:

Answer:

m=20

Step-by-step explanation:

The line is in point slope form, or

y=mx+b

where m is the slope and b is the y-intercept

For the equation

y=20x

20 and x are being multiplied. The number being multiplied by x is the slope, therefore the slope is 20

Factor the monomial for 27n^2o

Answers

It must’ve been a typo, but
The answer is
This equation isn’t factorable

what is 4 raised to the third power​

Answers

Answer:

4³=64

Step-by-step explanation:

A number raised to a power implies the repeated multiplication of that number by itself to the value of its power.

Hence, four raised to the third power means multiplication of 4 by itself 3 times( 3 being the value of its exponent).

》 4×4×4=64

Fran is putting up a tent. Each triangular end of the tent has sides of length 6 ft. What is the approximate height of the tent, rounded
to the nearest foot? (Hint: A perpendicular from a vertex of an equilateral triangle to its opposite side will intersect the opposite side
at its midpoint.)

Answers

Answer:

height = 5 ft

Step-by-step explanation:

The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.

Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:

6^2 = 3^2 + height^2

36 = 9 - height^2

height^2 = 27

height = 5.19 ft

Rounding to the nearest foot, we have height = 5 ft

Answer: 5

Step-by-step explanation:

Circle O is shown. T O, Q O, P O, K O, and J O are radii. The measure of arc Q T is 0.14 r, the measure of arcs Q P, P K, and K J are r. The length of O J is 4. There are exactly π radians in a semicircle. There are exactly π radians in a full circle. There are approximately radians in a full circle. 2π radians is equivalent to degrees.

Answers

Answer:

There are exactly 2 π radians in a full circle.

There are approximately 6.28  radians in a full circle.

2π radians is equivalent to  360  degrees.

Answer:

1 4 4

Step-by-step explanation:

If A( 6, -1) , B( 1,3) and C( k, 8) are three points such that AB = BC, find the value of k

Answers

Answer:

De value of k is 9

Step-by-step explanation:

6,-1

b(1,3)

(k,8)

am using bodmas

a6-1×1=6a

b1×3=3b

abc=8

6a+3b+8=17-8

=9

Nat says that a square is a rectangle because it has four right angles. Amy says that a square is a rhombus because it has 4 equal sides. Who is correct? Explain *

Answers

Answer:

They are both correct in special cases of a rectangle and rhombuses

Step-by-step explanation:

A square is quadrilateral, with four equal sides and four equal interior angles of 90°

A rectangle is a quadrilateral, with four equal angles which are all 90°. Therefore,  a square is a special case of a rectangle with all the sides equal

A rhombus is also a equilateral quadrilateral with having equal opposite angle.

Therefore, when any of the interior angles is equal to 90°, the rhombus becomes known as a square, hence, a square is a special form of rhombus.

Please Find attached

Answers

Answer:

Using distance formula :

AB² = (5+1)² + (3-6)²

AB² = 36 + 9

AB² = 45

AB = 6.71 units

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