(x^2-5)(x+3)+(x+4)(x-x^2)

Answers

Answer 1

Answer:

-x-15

Step-by-step explanation:

Expand using the FOIL Method.

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Answer 2

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {-(x+15)}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➺[tex]\:( {x}^{2} - 5)(x + 3) + (x + 4)(x - {x}^{2} )[/tex]

➺[tex] \: {x}^{2} (x + 3) - 5(x + 3) + x(x - {x}^{2} ) + 4(x - {x}^{2} )[/tex]

➺[tex] \: {x}^{3} + 3 {x}^{2} - 5x - 15 + {x}^{2} - {x}^{3} + 4x - 4 {x}^{2} [/tex]

Combining like terms, we have

➺[tex] \: {x}^{3} - {x}^{3} + 3 {x}^{2} + {x}^{2} - 4 {x}^{2} - 5x + 4x - 15[/tex]

➺[tex] \: - x - 15[/tex]

➺[tex]\: - (x + 15)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]


Related Questions

Al vender una refrigeradora, gané s/. 580. Si después de la venta gasté s/. 1 260 y me queda s/. 480, ¿Cuánto costó la refrigeradora?

Answers

Answer:

english plz

Step-by-step explanation:

A water tank is in the shape of a cylinder with a diameter of 20 feet and a height of 20 feet. The tank is 70% full. About how many gallons of water are in the tank?

Answers

Answer:

32901 gallons

Step-by-step explanation:

First, we find the volume of the cylindrical water tank when it is full.

The volume of a cylinder is given as:

V =

where r = radius and h = height of the cylinder

The diameter of the tank is 20 feet, hence, its radius is 10 feet.

Volume, V, is therefore:

V =

This is the volume of the tank, when it is full.

When it is 70% full, the volume will be:

1 cubic foot () is 7.48 gallons.

Therefore, the volume of the 70% full tank in gallons will be:

4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons

The tank contains 32901 gallons of water.

Answer:

approximately 32,900 gallons

Step-by-step explanation:

volume water in tank

v = πr²h * .70

v = π * 10² * 20 * .70

v = 4,398.2297150257 ft³

1 ft³ = 7.48 gallons

gallons in tank

4,398.2297150257 * 7.48 = 32,898.7582683922

~ 32,900 gallons

1) f(x) = 3x2+ 5x -2
a) Write an equation that can be used to find the zeros of the function.
b) What are the zeros of the function?

Answers

Here you go:

a) f(x)= (3x-1)(x+2)
This is factoring. It helps you find the zeros if you set this equal to zero. You can clearly identify what the zeros are.

b) (3x-1)(x+2)=0
x=1/3, x=-2

Plug those back into the equation to see if they work. In this case they do so those are your answers.

Two angles are complementary. If one angle measures 48°, what is the measure of the other angle?

a
42°

b
48°

c
132°

d
52°

Answers

Answer:

A

Step-by-step explanation:

The sum of two complementary angles is 90 degrees

x + 48 = 90

x = 90 -48

x = 42 degrees

C it is 132 degrees due to the amount of angle

Evaluate: 4.5p + 8.2n when p=6 and n=5.

Answers

Answer:

68

Step-by-step explanation:

4.5p + 8.2n when p=6 and n=5

Subsitute for p and n

4.5(6) + 8.2(5)

Multiply

27 + 41

add

68

Kiera and her brother, Desmond, are making trail mix to bring on their family's camping trip. Kiera uses 2 cups of raisins and 5 cups of nuts in her trail mix. Desmond uses 3 cups of raisins and 6 cups of nuts in his trail mix. Whose trail mix has a lower ratio of raisins to nuts?

Answers

Answer:

Kiera has a lower ratio of raisins to nuts. (2:5)

Step-by-step explanation:

To find this, you would have to make the number of nuts the same in each to accurately compare them.

It starts with Kiera's 2 cups of raisins and 5 cups of nuts. So it will be 2:5 (raisins first then nuts.)

Desmond will be 3:6 (have to make it the same order, raisins and then nuts.)

So I multiplied both the 2 and the 5 in 2:5 by 6 first.

Then multiply both the 3 and 6 in 3:6 by 5 to make the number of nuts the same in both.

So Kiera will have 12:30 and Desmond will have 15:30.

Then you can conclude that Kiera has the lower ratio.

The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.

Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?

Indicate all such statements.

A The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.
B The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.
C The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.

Answers

Answer:

The answer is "Option A"

Step-by-step explanation:

Using the range difference to calculate the maximum and minimum value.

The range of the chinstrap penguins are:  

[tex]R(c) = Max(c) - Min(c) = 13.2[/tex]

The range of the Gentoo penguins are:

 [tex]R(g) = Max(g) - Min(g) = 15.4[/tex]

For point A:

[tex]Max(c) = x\\\\Max(g) = x + 5.8\\\\R(c) = x - Min(c) = 13.2 \to x = 13.2 + Min(c)\\\\R(g) = x + 5.8 - Min(g) = 15.4 \to x = 9.6 + Min(g)[/tex]

equate both of them

[tex]13.2 + Min(c) = 9.6 + Min(g)Min(g) - Min(c) = 3.6[/tex]

It indicates that Min(c) surpasses Min(g), whereas Max(g) exceeds Max (c).

Therefore, the Max is picked for g for all penguins and the minimum is picked for c.    

Range of all penguins [tex]= Max(g) - Min(c) = x + 5.8 - x + 13.2 = 19[/tex]

Therefore, it will be determined as the option.

For point B:

In estimating the range the median height cannot help.

For point C:

In order to calculate the variety, the connection between both the mean height cannot be sued.

I really need help on this problem ASAP please and thank you

Answers

Answer:

Step-by-step explanation:

4 1⁄10 ÷ 1 1⁄2 plsss answerr now ..thankyou

Answers

Answer:

2 11/15

Step-by-step explanation:

Answer:

41/15

Step-by-step explanation:

[tex]4\frac{1}{10}[/tex] ÷[tex]1\frac{1}{2}[/tex]

first convert mixed fraction into or improper fractions.

=4*10+1/10 ÷ 1*2+1/2

=41/10 ÷ 3/2

convert division sign to multiplication and do the reciprocal.

=41/10 * 2/3

=41*2/10*3

=82/30

=41/15

There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?

Answers

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

[tex]\displaystyle P\left(\text{Red}\right)=\frac{6}{11}[/tex]

Since the marble is replaced, the probability of getting another red is: [tex]\displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}[/tex]

The probability of getting a blue marble first is:

[tex]\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}[/tex]

And the probability of getting another blue is:

[tex]\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}[/tex]

So, the probability of getting two of the same color is:

[tex]\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%[/tex]

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

please help with this !!!!

Answers

Answer:

0

Step-by-step explanation:

this is just to confuse us.

"t" is used instead of "x" (probably because the formula has something to do with "time"). but it does not matter.

and 3 different functional definitions have been given based on the value of the argument "t".

we need the functional value for t=2.

is 2 = 8 ? no. therefore the first definition does not apply.

is 2 = 10 ? no. therefore the second definition does not apply either.

is 2 unequal to 8 or 10 ? yes, 2 is 2 and not 8 and not 10.

so, the third definition applies :

f(2) = 2² - 3×2 + 2 = 4 - 6 + 2 = 0

Please help I need the answer right

Answers

Answer:

B) 4 inches

Step-by-step explanation:

Since ABC is congruent to EFG then AB is congruent to EF, and BC is congruent to FG.

BC = 4 in

FG = 4 in

Write the number 10 000 000 as a power of 10.

Answers

Answer:

10⁷

Step-by-step explanation:

Just count the number of zero and raise the counted number of zero.

Help,anyone can help me do quetion​

Answers

Answer:

B1: x = 51

C1: x = 73, y = 34

Step-by-step explanation:

B1:

By exterior angle theorem:

x° + 54° = 105°

x° = 105° - 54°

x° = 51°

x = 51

C1

x° = 73°(Alternate angles)

x = 73

y° = 34° (corresponding angles)

y = 34

How many quarters are there in 5 and 3/4

Answers

Answer:

23

Each 1 has 4 quarters

5*4=20

20+3

23

Step-by-step explanation:

What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …

Answers

Answer:

y = 3x -7?

Step-by-step explanation:

started from 7 and going infinite

Noah says that 2^4 • 3^2 = 6^6.
Tyler says that 2^4 • 4^2 = 16^2
Do you agree with Noah? Explain or show your reasoning.
Do you agree with Tyler? Explain or show your reasoning.

Answers

Answer: 5/6

Step-by-step explanation:

Select the rule for each piece. Rule for piece 1: Rule for piece 2:

Answers

Answer:

Rule for piece 1: y=-x

Rule for piece 2: y=1

Rule for piece 3: y = 2-x

Step-by-step explanation:

Người ta dự định chuyển 78452 lít dầu từ kho A sang kho B Trong 4 ngày đầu mỗi ngày chuyển được 18214 lít dầu hỏi còn phải chuyển bao nhiêu lít dầu nữa

Answers

Answer:

5596 liters  of oil still need to be transferred.

Step-by-step explanation:

Total oil = 78452 liters

oil transferred each day for 4 days = 18214 liters

The amount of oil transferred in 4 days = 4 x 18214 = 72856 liters

The mount of oil left in ware house A

= 78452 - 72856

= 5596 liters  

Someone Help if they can ASAP!

Answers

Answer:

The answer is D.

Step-by-step explanation:

Since (4x+20) and 60 are vertically opposite angles. They both are equal. Hope this helped!

PLEASE HELP ME ASAP PLEASE! I KEEP GETTING SPAMMED

EXPLANATION = BRAINLIEST

The area is 220 square yd.

The missing length is ___ yd

Answers

Given : Area of the parallelogram is 220 square yard

We know that :

⊕  Area of a parallelogram is given by : Base x Height

⇒  Base x Height = 220

Given : Height of the parallelogram = 11 yards

⇒  Base x 11 = 220

⇒  Base = 20 yards

⇒  Missing Length = 20 yards

1. If one leg gets longer the other leg must also
get longer in order to keep the hypotenuse the
same.
TRUE
FALSE

Answers

False because is not the same and it doesn’t make sense

Please someone help me if you can't that is okay but please try I am extremely desperate

Answers

A, you combine like terms

Answer:

A

Step-by-step explanation:

2x + x = 3x

y - 3y = 2y

Scott spent $54 on fruit at the grocery store. He spent a total of $60 at the store. What percentage of the total did he spend
on fruit?
Help !!!!

Answers

Answer:

I think it is 90%

Step-by-step explanation:

this is the case because 54/60 will be 9/10 if reduced

Find the area of a regular Heptagon with a side length of 7?

Answers

Answer:

[tex]seven \: sides \\ area = (7 \times 7) \\ = 49 \: sq \: units[/tex]

PLEASE PLEASE PLEASE HELP ME


EXPLAINING YOUR ANSWER WILL GIVE YOU BRAINLIEST


I REALLY NEED HELP AND ACCURATE ANSWERS

Answers

Answer:

the area of sector is

[tex] \frac{126}{360} \times \pi \times ( \frac{16}{2} ) {}^{2} = \frac{112}{5} \pi[/tex]

Answer:

Step-by-step explanation:

126/360 × pi× radius²= Area of the sector

Question 16 of 36
Solve 16x+8>12x+20
A.x>7
B.x<3
C.x<7
D.x>3

Answers

Answer:

X>3 which is B

Step-by-step explanation:

Answer:

D. x > 3

Step-by-step explanation:

We have:

16x + 8 > 12x + 20

We have to make x be alone on one side.

So first, we subtract both sides by 8:

16x > 12x + 12

Subtract 12x from both sides:

4x > 12

Divide both sides by 4:

x > 3

what is 94.2 and 87 averaged out

Answers

Answer: 90.5

Step-by-step explanation:

Answer:

90.6

Step-by-step explanation:

If you mean "what is the average of 94.2 and 87," that is found as follows:

 94.2 + 87

------------------ = 90.6

          2

We say, "the average" (or "the mean") of 94.2 and 87 is 90.6."  90.6 lies exactly halfway between 87 and 94.2.

What is the volume of the square pyramid? Enter in the box ___m^3

Answers

Answer:

V = 400 m^3

Step-by-step explanation:

The volume of a square pyramid is

V = 1/3 Bh where B is the area of the base and h is the height

B = 10 *10 = 50

V = 1/3 (100)* 12

V = 400 m^3

help with the questions below!

Answers

Answer:

b

Step-by-step explanation:

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