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dimulka [17.4K]
3 years ago
9

Tim plays a computer game each game is a win or a loss he wins three fifths of his first 40 games he then wins his next 12 games

for all 52 games work out the ratio wins:losses
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0

Answer:

31:21

Step-by-step explanation:

3/5 = 0.6. multiply both number by 0.6 to get 24 and 7.2 now you cannot have part of a win or a loss that makes no sense. so round it and you get 24 and 7 add those together to get 31. subtract 31 from 52 to get 21. he had 31 wins and 21 losses.

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Write a polynomial P with the lowest possible degree that has the given solutions. Explain how you generated each answer.a)−2, 3
Rashid [163]

Answer and Step-by-step explanation:

polynomial P with the lowest possible degree

solutions: a)−2, 3,−4i,4i b)−1, 3i c)0,2,1 +i,1-i

The polynomial with the lowest degree that has the given solutions is a multiplication of the monomials (x-solution). And with complex roots, we always have a number and its conjugate

a)−2, 3,−4i,4i

P(x) = (x-(-2))*(x-3)*(x-(-4i))*(x-4i) = (x+2)(x-3)(x-4i)(x+4i) = (x²-3x+2x-6)(x²-16i²) = (x²-x-6)(x²+16) = x⁴+16x²-x³-16x-6x²-96 = x⁴-x³+10x²-16x-96

b)−1, 3i

(x-(-1))*(x-3i)*(x-(-3i)) = (x+1)(x-3i)(x+3i) = (x+1)(x²-9i²) = (x+1)(x²+9) = x³+9x+x²+9

c) 0,2,1 +i,1-i

(x-0)(x-2)(x-(1+i))(x-(1-i)) = x(x-2)(x-1-i)(x-1+i) = (x²-2x)(x²-x+xi-x+1-i-xi+i-i²) =

(x²-2x)(x²-x-x+1+1) = (x²-2x)(x²-2x+2) = x⁴-2x³+2x²-2x³+4x²-4x = x⁴-4x³+6x²-4x

7 0
3 years ago
What is the standard form equation of an ellipse that has vertices (−2,−18) and (−2,8) and foci (−2,−14) and (−2,4)?
sveta [45]

Answer:

Hello,

Step-by-step explanation:

All is in the picture.

B=(-2,8), O=(-2,-5)

b=BO=8+5=13

F_1=(-2,4)   O=(-2,5)  Focus distance=4+5=9
Horizontal half axis=√(b²-f²)=√88

3 0
2 years ago
An architect makes a model of a new house with a patio made with pavers. In the model, each paver in the patio is 1/3 in. long a
ladessa [460]

Answer:

The constant of proportionality between the actual dimensions of the pavers and the model is 9.


The proportionality constant for the area is 81.

Step-by-step explanation:

To solve this problem, let's transform all quantities to the same units (inches)


The actual dimensions of the pavers are:


Width = \frac{1}{8} ft * \frac{12in}{1 ft} = \frac{3}{2} in\\\\ Length = \frac{1}{4} ft * \frac{12in}{1 ft} = 3in


Then we divide the real dimensions between those of the model:


Width:


\frac{\frac{3}{2}}{\frac{1}{6}}= 9

Long =


\frac{3}{\frac{1}{3}}= 9



Then, the constant of proportionality between the actual dimensions of the pavers and the model is 9.


Actual length = model length * (9)


The "A" area of a paver is the product of its width multiplied by its length.


So:


(real width) * (real length) = ((9) Model width) * ((9) model length)


(real width) * (real length) = 9 ^ 2 * (Model width) * (model length)


(real area) = 81 * (Model area)


The proportionality constant for the area is 81.


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3 years ago
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Diano4ka-milaya [45]
These are congruent angles. So they would be equal to each other. 6x=4x+50

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3 years ago
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Horizontal lines and vertical lines are what to each other
Lady bird [3.3K]

Answer:

/\

Step-by-step explanation:

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3 years ago
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