if marked price = 1,540 during the off season a discount was given and it was sold for 1,463. find the discount and the discount percent

Answer:   [tex]G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]

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Work Shown:

[tex]G(x) = x^3\\\\G(F(x)) = \left(F(x)\right)^3\\\\G(F(x)) = \left(x-7\right)^3\\\\G(F(x)) = \left(x-7\right)\left(x-7\right)^2\\\\G(F(x)) = \left(x-7\right)\left(x^2-14x+49\right)\\\\G(F(x)) = x\left(x^2-14x+49\right)-7\left(x^2-14x+49\right)\\\\G(F(x)) = x^3-14x^2+49x-7x^2+98x-343\\\\G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]

I personally like the square method but I am lazy to draw this out (take too long)

5x²-13x-6 = (5x+2)(x-3)

x = -2/5 or 3

Double-check:

5x²-15x+2x-6  = 5x²-13x-6 √

Step-by-step explanation:

I I think you have your answer now

Answer:

[tex](\frac{a}2;\frac{a}2)[/tex]

Step-by-step explanation:

You simply need to apply the formula for the midpoint of a segment - which is provided.

[tex]M(\frac{0+a}2; \frac{0+a}2) \rightarrow M(\frac{a}2;\frac{a}2)[/tex]

Anneyonghaseyo!!

Radius = 10.5 m

Diameter = 10.5 × 2 = 21 m

Circumference = πd

= 22/7 × 21

= 66 m.

Cost of fencing 1 metre = ₹ 4

Cost of fencing 2 rounds = ?

2 rounds = 2 × circumference

= 2 × 66

= 132 m

Cost of fencing 2 rounds = 132 × 4

= ₹ 528.

________

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

(x+2)(x+1)(4x+1)(4x-3)

Step-by-step explanation:

(4x² + 5x)² - 5(4x² +5x) - 6

= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6

= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)

= (4x²+5x-6)(4x²+5x+1)

= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)

= (4x(x + 2) - 3(x + 2))(4x(x+1) +1(x+1))

= (x+2)(4x-3)(x+1)(4x+1)

Answer:

  27 miles

Step-by-step explanation:

The law of cosines can be used to find the distance between the boats. In 1 hour, one has traveled 28 miles, and the other has traveled 26 miles. The angle between their directions of travel is ...

  180° -50° -70° = 60°

Then the distance c can be found from ...

  c^2 = a^2 +b^2 -2ab·cos(C)

  c^2 = 28^2 +26^2 -2·28·26·cos(60°) = 732

  c = √732 ≈ 27.055

The boats are 27 miles apart after 1 hour.

Answer:

F=(9C+160)/5

Step-by-step explanation:

C=5(F-32)/9

Simplify to 5F-160/9=c

multiply by 9 on both sides : 5F-160=9C

add 160 to both sides: 5F=9C+160

Divide by 5 on both sides: F=(9C+160)/5

Simplify: F=9/5c+32

Answer:

[tex]F=\frac{9C}{5}+32[/tex]

Step-by-step explanation:

The subject of the formula is the variable that's being worked out. Originally this was C. They want us to make F the subject of the formula.

[tex]c=\frac{5(F-32)}{9}[/tex]

To do this we first need to distribute 5.

[tex]C=\frac{5F-160}{9}[/tex]

Divide 5F-160 by 9.

[tex]C=\frac{5}{9}f-\frac{160}{9}[/tex]

We can then swap sides to make it easier.

[tex]\frac{5}{9}f-\frac{160}{9}=C[/tex]

We then add [tex]\frac{160}{9}[/tex] to each side.

[tex]\frac{5}{9}f=c+\frac{160}{9}[/tex]

We can then find F by multiplying by 9/5 or dividing by 5/9.

[tex]F=\frac{9}{5}(C+160/9)[/tex]

We then can simplify by multiplying.

[tex]F=\frac{9C}{5}+32[/tex]

:D

Answer:

21/8 yards

Step-by-step explanation:

If Sarah wants to make her own costume she will need 21/8 yards of yarn.

To get this, you multiply 2 by 8 and get 16.

Next, you will add 5 onto 16 and get 21.

Keep your 21 and put is as your numerator.

Now take your 8 and put it as your denominator.

Answer:

A 6 km per hour

B 10 min.

Step-by-step explanation:

I just need to fill the 20 character limit

that all i know hope it helped to your modules

Answer:

44 home runs

Step-by-step explanation:

550 ÷ 25

= 22

22 x 2

= 44

Answer:

3 hours

Step-by-step explanation:

This is an LCM of least common multiple problem. The GCF of 60 and 45 is 15 and 45/3=3. So the LCm of these 2 numbers are 60x3=180 minutes or 3 hours

Answer:

3 hours is the answer

Step-by-step explanation:

answer

Answer:

Dividing Decimals

Step 1: Estimate the answer by rounding .

Step 2: If the divisor is not a whole number, then move the decimal place n places to the right to make it a whole number.

Step 3: Divide as usual.

Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.

Step-by-step explanation:

Step 1. Turn the second fraction (the one you want to divide by) upside down

(this is now a reciprocal).

Step 2. Multiply the first fraction by that reciprocal

Step 3. Simplify the fraction (if needed)

If the dog could fly, it would need to fly 147 meters to catch the helicopter

This is a rather easy and straightforward question. We are going to solve it using Pythagoras theorem. We can interpret the question to be in a triangle where the height of the helicopter above the helipad and away from the dog is the right angle. This also means that the distance needed, between the dog and the helicopter is the hypotenuse.

Using pythagoras theorem, we have

120² + 85² = c²

c² = 14400 + 7225

c² = 21625

c = [tex]\sqrt{21625}[/tex]

c = ±147 meters.

Since distance cant be in the negative, our answer is 147 m

read more about pythagoras theorem here https://brainly.com/question/15138986

Answer:

116π

Step-by-step explanation:

Circumference = 2πr

Circumference = 2(58)π

Circumference = 116π

-Chetan K

Answer:

c

Step-by-step explanation:

I would say it's "A is false, R is true"

Look at it this way, (R is talking): A is false, this is obviously true.

It wouldn't really work the other way.

Answer:

9.50

Step-by-step explanation:

needs to be 20 character

Answer:

44

Step-by-step explanation:

4(9) + 8  

=36 + 8

=44

Answer:

The 75th term is 446

Step-by-step explanation:

Using the explict formula you get an=6n-4

you plug in 75 for n which means 75 x 6 =450 and the subtract four which gets you 446

Answer:

446 is the 75th term

Step-by-step explanation:

This sequence increases by 6

2 8 14 20 26 32 38 44 50 56 62 68 74 80 86 92 98 104 110 116 122 128 134 140 146 152 158 164 170 176 182 188 194 200 206 212 218 224 230 236 242 248 254 260 266 272 278 284 290 296 302 308 314 320 326 332 338 344 350 356 362 368 374 380 386 392 398 404 410 416 422 428 434 440 446

One apple cost $1.8 while the money that Philip has is $24.90

Let x represent the cost of each apple and y represent the money he has presently.

He can buy 15 apples if he had $2.10 more money than he has now, hence:

15x = y + 2.1

15x - y = 2.1     (1)

Also, if he buys 12 apples, how would have $3.30 left of the money he has now. Hence:

12x + 3.3 = y

12x - y = -3.3   (2)

Solving equations 1 and 2 gives:

x = 1.8, y = 24.9

Hence one apple cost $1.8 while the money that Philip has is $24.90

Find out more at: https://brainly.com/question/16763389

Answer:

B

Step by Step Explanation:

D = (1, 1)

E = (2, 3)

Take out C immediately, as the distance is 100% not more than 3 units.

I'm going to go with the premise that wherever the letters' points on the graphs are where the letters are located.

Take out D as well because the distance is around 2 - 2.66 units, and not under (Look at what I said previously).

Now if we get a ruler and rotate it exactly to the line from D to E, we will get the answer B (This is due to angles).

Hope this answered your question or at least helped, in which case you're welcome. :D

it would be 2.24 !!!

Answer:

6z-30 :D

Step-by-step explanation:

The perimeter of a square is just all the sides added up together. To do this we can make an equation.

2(z-5) + 2(2z - 10)

This represents two sides with different lengths two times. To solve, you first use the distributive property to multiply z-5 by 2.

2z - 10 + 2(2z - 10)

We then use the distributive property by multiplying 2z - 10 by 2.

2z − 10 + 4z − 20

We then combine 2z and 4z to get 6z.

6z − 10 − 20

Subtract 20 from 10 to get -30.

6z-30.

Answer:

Step-by-step explanation:

Perimeter = z - 5 + z - 5 + 2z - 10 + 2z - 10

= 6z - 30...ans

Answer:

8, 1 1/2 cup servings in 12 cups of juice.

Step-by-step explanation:

I just divided 12 by 1.5