claude spends $315 to rent a car. The car costs $45 per day. He had a coupon for 2 free days. Complete equation to find number of days claude rents the car. D represents the number of days. _ (_-_)=_

Answer:

Given that there are 21 flags, NOW using backward induction we can see that;

If there is only one flag left, whosoever picks up that particular  flag will lose. Therefore, 1 is loosing number.

Now if there are 2 flags left, whosoever's turn it is, can pick 1 flag and leave one for the opponent and win the game. Therefore, 2 is winning number. Similarly if there are 3 flags left then whosoever's turn it is can pick 2 flags and leave one for the opponent and can win the game. Hence 3 is winning number. Similarly when 4 flags left, 3 can be picked up and leave one for the opponent and win the game. So, 4 is also winning number.

Now, if there are 5 flags left, then no matter whichever number you choose among 1,2 or 3 you gonna leave other team with 4,3 or 2 respectively and all 3 are winning number. Therefore, 5 is loosing number.

Similarly, if you have 6,7,8 then by taking 1,2,3 respectively you can leaveyour opponent with number 5 and that is loosing number and you can win certainly. Therefore, 6,7,8 are also winning number.

Following above discussion, we see a pattern among the number that would make sure you win and with other numbers you loose.

we see after 1 if we go in positive direction on number line till 21 then every fourth number is loosing number because no matter what you choose you will leave your opponent with a winning number of flags and if your opponent knows and follows the optimal strategy can win. Therefore,

Loosing Numbers = 1,5,9,13,17 and 21

Winning Numbers = 2,3,4,6,7,8,10,11,12,14,15,16,18,19 and 20

a) STRATEGY

If you are a team that is stuck with any of loosing number that is 1,5,9,13,17 or 21 then no matter what strategy you follow you gonna loose. Therefore, there is n winning strategy in this situation given other team also knows the winning strategy

But if you have any of winning numbers at any point then you can follow the following strategy and can win

- 2 flags = pick up one flag and leave 1 for the opponent, win

- 3 flags = pick up 2 flags and leave 1 for the opponent, win

- 4 flags = pick up 3 flags and leave 1 for the opponent, win

- 6 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win

- 7 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win

- 8 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win

- 10 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win

- 11 flags =  pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win

- 12 flags =  pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win

- 14 flags =  pick up one flag, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win

- 15 flags =  pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win

- 16 flags =  pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win

- 18 flags =  pick up one flag, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win

- 19 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win

- 20 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win

b)

Since team moving first will have 21 flags left on ground and it is a loosing number, no matter which number it chooses to pick it is gonna loose as it will leave other team with winning number. So, they will be indifferent between choosing 1,2 or 3

c)

If first teams removes 1 flag then best strategy for second team would be to remove 3 flags and again leave first team with loosing number

similarly, If first teams removes 2 flags then best strategy for second team would be to remove 2 flags and again leave first team with loosing number

and If first teams removes 3 flags then best strategy for second team would be to remove only 1 flag and again leave first team with loosing number

Answer:

Horizontal compression

Step-by-step explanation:

Just took a test

Answer: horizontal compression

Step-by-step explanation:

Edge

Answer:

(x² + 18) units²

Step-by-step explanation:

Area of a rectangle = l*w

There are two shaded rectangles found inside the large rectangle. Let us represent the smaller shaded one as Rectangle 1, the bigger shaded rectangle as Rectangle 2.

Below are the dimensions and area if each of them:

Rectangle 1 (small shaded rectangle):

l = x

w = x

Area = x * x = x² units²

Rectangle 2 (bigger shaded rectangle):

l = 9

w = 2

Area = 9*2 = 18 units²

Total area of the shaded rectangles = x² + 18 = (x² + 18) units²

Answer:

$4.42!

Step-by-step explanation:

Just add all the prices together then divide by 2!

$1.10 * 2 + $3.79 + $0.95 * 3 = $8. 84

$8.84 ÷ 2 = $4.42!

Answer:

Step-by-step explanation:

-18 is a integer because it has negative sign

☽------------❀-------------☾

Hi there!

~

-18 is an integer number because of the " - " sign. I hope the picture will explain why -18 is an integer number!

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

Hey there!

A good estimation is one dollar.

2 pairs of shoes for 14 dollars= 28 dollars

29-28=1 dollars.

Hope this helps :)

Answer:

Distributive Property.

Step-by-step explanation:

You distribute the 2 to each of the terms.

Answer:

R/4 - 1.4 =1.58

R/4 = 1.58 + 1.4

R/4 =2.98

r=11.92

Step-by-step explanation:

The general form of the number is 28,700. The correct option is A.

Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.

The given number is 2.87 x 10⁴. The general form of the number can be written as:-

2.87 x 10⁴ = 2.87 x 10000

2.87 x 10⁴  = 28700

Multiply 2.87 by 10000 we will get the general form 28700 for the number.

Therefore, the general form of the number is 28,700. The correct option is A.

To know more about the standard form of the number follow

https://brainly.com/question/17136267

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Answer:

Domain: set of Real numbers

Range{ set of Real numbers

Step-by-step explanation:

Since this is a cubic function, its domain and range are both the set of Real numbers.

The domain of any polynomial function is the set of Real numbers, And as far as the Range, we decide based on its end-behavior: since this is a polynomial with leading term [tex]x^3[/tex], then it has the property of getting to infinitely large values for increasing values of x, and infinitely negative values for decreasing values of x.

Answer:

x < x and -3x < -3x

Step-by-step explanation:

x cannot be less than itself so there would be no solution.

Answer:

23

Step-by-step explanation:

Step 1:

3 - -5 (4)

Step 2:

3 - (-20)

Step 3:

3 + 20

Answer:

23

Hope This Helps :)

Answer:

72in

Step-by-step explanation:

area=length x width

a=8x9

Answer:

In ∆ABD and ∆ACD

<BAD =<CAD ( each are half of <A )

<D=<D ( each equal to 90°)

AD = AD ( common)

So ∆ ABD is congruent to ∆ ACD.

Then AB =AC (by C.P.C.T)

Hence,∆ABC is an iso - sceles triangle.

Answer:

[tex]f^{-1}(0)=6[/tex]

Step-by-step explanation:

So, we have the graph y=f(x).

And we want to find:

[tex]f^{-1}(0)[/tex]

Remember that the inverse of a function is simply the x-values and y-values swapped. To see this, let's let our inverse equal y:

[tex]f^{-1}(0)=y[/tex]

This means that we have the point:

[tex](0,y)[/tex]

So, to find our solution, we will swap the x- and y-coordinates. This gives us:

[tex](x,0)[/tex]

So, simply need to find the x-coordinate such that y is 0.

From our graph, we can see the point (6,0). In other words:

[tex]f(6)=0[/tex]

So:

[tex]f^{-1}(0)=6[/tex]

And we're done!

Answer:

the answer is .5 i think

Answer: There are 15 more goldfish than guppies.

Step-by-step explanation:

Since there are 6 times as many goldfish as guppies, then. Now 3 + 18 = 21 the total fish in the tank. Hence there are 3 guppies and 18 goldfish. and 18 - 3 = 15, thus there are 15 more goldfish than guppies.

Answer:

(3z + 1)(3z + 4)

Step-by-step explanation:

[tex]9 {z}^{2} + 15z + 4 \\ = 9 {z}^{2} + 3z + 12z+ 4 \\ = 3z(3z + 1) + 4(3z + 1) \\ = (3z + 1)(3z + 4)[/tex]

Answer:

6

Step-by-step explanation:

3(4-2) distribute 3

12-6

6

Answer:

C

Step-by-step explanation:

We must compute the derivatives and check if the equation is satisfied.

A. . Differentiate again to get , then  so this choice of y doesn't solve the equation.

B.  and , then  so y is not a solution

C.  hence . Then  so y is a solution.

D. and , then  thus y isn't a solution

E.  hence . Then  then y is not a solution.

Answer:

2r - 15

Step-by-step explanation:

product of 2 and r is 2r and then minus by 15. im sorry if this is wrong haha

The algebraic expression for the statement"15 less than the product of 2 and r" will be 2r-15.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.

It is given that the expression is, "15 less than the product of 2 and r."

Let the expression is equated to x in order to represent,

x=15 less than the product of 2 and r

x=2r-15

Thus, the algebraic expression will be 2r-15.

Learn more about the expression here:

brainly.com/question/14083225

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Answer:

I got u

Solve for n by simplifying both sides of the equation, then isolating the variable.

n=3

Step-by-step explanation:

Answer:

communitative property

n=3

Answer:

6 chairs around each table

Step-by-step explanation:

just did it

Answer:

50 penguins

Step-by-step explanation:

Let the total number of penguins = x

30% of x = 15

[tex]\frac{30}{100}*x=15\\\\\\x=15*\frac{100}{30}\\\\x=50[/tex]

Answer:

50

Step-by-step explanation:

15 x 100 equals 1500

1500 divided by 30 equal 50

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

x=1+/- the square root of 89

Answer:

x=1+ (square root of 89)

Step-by-step explanation:

Answer:64

Step-by-step explanation:multiply the two numbers

Answer: (A)=10x5−29x4+33x3−18x2−18x+27

Step-by-step explanation:

How i solved it was by simplifying each answer there was available and (A) was the most compatiable answer!

=(2x+−3)(5x4+−7x3+6x2+−9)

=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)

=10x5−14x4+12x3−18x−15x4+21x3−18x2+27

=10x5−29x4+33x3−18x2−18x+27

Answer:

=(2x+−3)(5x4+−7x3+6x2+−9)

=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)

=10x5−14x4+12x3−18x−15x4+21x3−18x2+27

=10x5−29x4+33x3−18x2−18x+27

Step-by-step explanation: