If a = 4-√15, then what is the value of :
1) a² + 1/a²
2) a³ + 1/a³
3) a∧4 + 1/a∧4

Answer:

32.5% Win Rate

Step-by-step explanation:

I got this answer by first:

( 9 ) * x + ( -4 ) * ( 1 - x ) = 0

9x - 4 + 4x = 0

13x = 4

then finally:

13/4 = 3.25 | And to get that into percent you multiply that by 10, giving you a 32.5% win rate. or 325 / 1000. Meaning you will win 325 out of 1000 games you play. Hope this helped!

Probability of winning is 0.69.

Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.

According to the question

Supposed a certain game is fair and costs $4 if you lose and has a net payoff of $9 if you win.

The only possible outcomes of the game are winning and losing.

The probability of winning = [tex]\frac{9}{4+9}[/tex]

= [tex]\frac{9}{13}[/tex]

= 0.69

Hence, probability of winning is 0.69.

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Answer:

D. linear; y = –x – 1

Step-by-step explanation:

Linear; y=-x - 1

The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x

Answer:

The correct answer is D) linear; y = –x – 1

Step-by-step explanation:

To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.

(4, 5)

y = -x - 1

-5 = -4 - 1

- 5 = -5 (TRUE)

(0, -1)

y = -x - 1

-1 = 0 - 1

-1 = -1 (TRUE)

Answer:

true

Step-by-step explanation:

a term is a single mathemathical expression, hence it may be a single number (+ve/-ve)

Answer:

the person above is correct.

Step-by-step explanation:

the answer is right

Nudibranchs are a detachment of marine gastropods, close to the snails, but without shell and with a pronounced mantle.

Their secondary cutaneous gills are soft, unprotected outgrowths of integuments of various shapes and are located on the sides or on the dorsal side of the body; some species have no gills at all. They inhabit mainly warm seas and oceans. Some species are poisonous and have a bright color. All nudibranchs are hermaphrodites. They are very picky about their food.

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Answer:

1 rational b/c terminating decimal

2 irrational b/c non-terminating decimal

3 rational b/c non-terminating decimal

4 rational b/c it in an integer, which are part of rational numbers

5 rational b/c non-terminating decimal

6 b) 7.625

Step-by-step explanation:

The solution of the given angle of the equation is y＝17＋x

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have given angle as:

angle 1 = angle2,

m∠1＝m∠2

m∠ 1 = x + 14,

m∠2 = y - 3

Since m∠1＝m∠2

Substitute the value of m∠1 and m∠2 in the above equation,

⇒ x＋14＝y－3

Rearrange the terms in the above equation and solve for y,

⇒ －y＝- 3－x－14

⇒ －y－17－x

⇒ y＝17＋x

Thus, the solution of the given angle of the equation is y＝17＋x

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Answer:

If a square root is not a perfect square, then it is considered an rational number. These numbers cannot be written as a fraction because the decimal does not end (non-terminating) and does not repeat a pattern (non-repeating)...!!!

Answer:

it is b

Step-by-step explanation:

because it has the 2.3

Answer:

5th figure is not symmetrical

comment if doubt

Answer:

Step-by-step explanation:

a2+b2=c2

b2 = c2 - a2

b = ±√(c2 - a2)

Answer:

- 3x² + 5x

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= - 3x² + 6x - x ← collect like terms

= - 3x² + 5x

Answer:

Step-by-step explanation:

I don't think they are. It sounds like a direct proportion to me. The more rice you buy, the higher the cost.

Cost = k * quantity.

That would be the most general formula.

Answer and Step-by-step explanation:

To find out the answer, we need to first find how much money it is to buy 1 kg of almonds.

So, do 34 divided by 4.

[tex]\frac{34}{4} = 8.5[/tex]

Now, multiply 8.5 by 5.

8.5 × 5 = 42.5

The cost for 5 kilograms of almonds is $42.5

#teamtrees #PAW (Water And Plant)

I hope this helps!

Answer:

10 points away

Answer:

A) 29

Step-by-step explanation:

DG = GJ

GJ = DG = 4x + 17

DJ = DG + GJ

11x + 25 = 4x + 17 + 4x + 17

11x + 25 = 4x + 4x + 17 + 17    {Combine like terms}

11x + 25 = 8x + 34

Subtract 25 from both sides

11x = 8x + 34 - 25

11x = 8x + 9

Subtract 8x from both sides

11x - 8x = 9

3x = 9

Divide both sides by 3

x = 9/3

x = 3

DG =  4x + 17

     = 4*3 + 17

    = 12 + 17

DG = 29

Answe]here g is apoint on dj sdj = dg + gj 11x + 25 = dg + 44x + 14 11x - 44x + 25 - 14 = dg - 33x + 11 = dg

11 x + 25=8x+34

x=3

dg= 4×3+17=29

thank you

Hey there! I'm happy to help!

In this case c is equal to 0. There is always a, b, and c, but they might be invisible (for example if a is 1 or b or c are 0).

Then you can choose whichever method you like to factor these (completing the square, quadratic formula, factoring, etc.)

The zeros should be 0 and a number that is about -1.9.

Have a wonderful day and keep on learning! :D

Answer:

5/6

.......................

Answer:  0.83

Step-by-step explanation: 1/2-(-1/3)= 5/6: Decimal form is 0.83

Answer:

[tex]x = \frac{5}{13} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} x + \frac{5}{4} = 4x[/tex]

[tex]3x + 5 = 16x[/tex]

[tex]3x - 16x = - 5[/tex]

[tex] - 13x = - 5[/tex]

[tex]x = \frac{5}{13} [/tex]

Answer:

17x² - 22x - 2

Step-by-step explanation:

Given

(5x² + 6x - 2) + 4x(3x - 7) ← distribute parenthesis

= 5x² + 6x - 2 + 12x² - 28x ← collect like terms

= 17x² - 22x - 2

Answer:

11c³

Step-by-step explanation:

The GCF of 44, 22 and 11 → 11

The GCF of [tex]c^{5}[/tex] , c³ and [tex]c^{4}[/tex] → c³

Then the GCF of the expression is 11c³

Answer:

Length=22.5cm, Breadth=11.5cm

Step-by-step explanation:

Let length be l and width be w.

w+22=l

w+w+w+22+w+22=90

4w=90-22-22

    =46

w=46 divided by 4

  =11.5

l=11.5+11

=22.5

Hence,

Length of rectangle=22.5cm

Breadth of rectangle=11.5cm

Answer:

26

Step-by-step explanation:

Step-by-step explanation:

Simplifying 4 + -2(x + -3) = 24 Reorder the terms: 4 + -2(-3 + x) = 24 4 + (-3 * -2 + x * -2) = 24 4 + (6 + -2x) = 24 Combine like terms: 4 + 6 = 10 10 + -2x = 24 Solving 10 + -2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 24 + -10 -2x = 24 + -10 Combine like terms: 24 + -10 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7

Answer:

She didn't change the direction of the sign

Step-by-step explanation:

When dividing both sides by a negative number in an inequality, you must change the sign.

Answer:

The horizontal shift is 6 units left (so -6).

Step-by-step explanation:

The horizontal shift is located inside the absolute value bars. While F(x) adds 6 to x, so you may think it's 6 units right, horizontal shifts are backwards as opposed to vertical shifts: we go 6 units left.

The area of a figure is the amount of space the figure can occupy. [tex]18a^4 + 10[/tex] of the door will be made from the wood.

Given

[tex]Length = 6a^2 + 2[/tex]

[tex]Width = 3a^2 + 5[/tex]

First, calculate the area of the rectangular door

[tex]Area = Length \times Width[/tex]

[tex]Area =(6a^2 + 2) \times ( 3a^2 + 5)[/tex]

[tex]Area = 18a^4 + 6a^2 + 30a^2 + 10[/tex]

[tex]Area = 18a^4 + 36a^2 + 10[/tex]

Next, calculate the area of the glass panel

The dimension of the glass panel is not given, and the diagram is not attached. So, I will assume the dimension of the square glass panel is [tex]6a[/tex].

So, the area of the glass panel is:

[tex]Area = 6a \times 6a[/tex]

[tex]Area = 36a^2[/tex]

To calculate how much wood that will be needed for the rectangular door, we simply subtract the area of the glass panel from the area of the door

[tex]Wood = 18a^4 + 36a^2 + 10 - 36a^2[/tex]

Collect like terms

[tex]Wood = 18a^4 + 10 + 36a^2 - 36a^2[/tex]

[tex]Wood = 18a^4 + 10[/tex]

Considering the assumed value, [tex]18a^4 + 10[/tex] of the door will be made from the wood.

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[tex]\\ \sf\longmapsto -2x-4>8[/tex]

[tex]\\ \sf\longmapsto -2(x+4)>8[/tex]

[tex]\\ \sf\longmapsto x+4>\dfrac{8}{-2}[/tex]

[tex]\\ \sf\longmapsto x+4>-4[/tex]

[tex]\\ \sf\longmapsto x>-4-4[/tex]

[tex]\\ \sf\longmapsto x>-8[/tex]

Answer:

x < -6

Step-by-step explanation:

-2x - 4 > 8

Add 4 on both sides

-2x > 12

Divide -2 on both sides

x < -6

Hope this helps!