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kakasveta [241]
3 years ago
8

8.) In a carnival game, you gain $2 if you win and lose $1 if you do not win. If

Mathematics
1 answer:
RideAnS [48]3 years ago
3 0

Answer:

Step-by-step explanation:

Somebody plays 30 times

L+W = 30, where L and W are number of losses and wins, respectively.

L = 30-W

Net after 30 plays is $6

2W - 1L = 6

2W - (30-W) = 6

3W = 36

W = 12

W = 18

17 wins

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What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?
jenyasd209 [6]

Answer:

  x=-2-\sqrt{\dfrac{11}{2}}\ \text{and}\ x=-2+\sqrt{\dfrac{11}{2}}

Step-by-step explanation:

My favorite way to go at this is to look at a graph. It shows the vertex at (-2, -11). Since the leading coefficient is 2, this means the roots are ...

  -2\pm\sqrt{\dfrac{11}{2}}

where the 2 in the denominator of the radical is the leading coefficient.

__

You can also use other clues:

  • the axis of symmetry is -b/(2a) = -8/(2(2)) = -2, so answer choices C and D don't work
  • the single change in sign in the coefficients (+ + -) tells you there is one positive real root, so answer choice B doesn't work.

The first answer choice is the only one with values symmetrical about -2 and one of them positive.

__

You may be expected to use the quadratic formula:

  x=\dfrac{-b\pm\sqrt{b^-4ac}}{2a}=\dfrac{-8\pm\sqrt{8^2-4(2)(-3)}}{2(2)}\\\\=\dfrac{-8}{4}\pm\dfrac{\sqrt{88}}{4}=-2\pm\sqrt{\dfrac{11}{2}}

7 0
3 years ago
Circle F has a diameter of 36m and = 240o. Find the length of . Leave your answer in terms of pi.
andrezito [222]

Answer:

So, the arc length is 24\pi

Step-by-step explanation:

We are given

diameter =36m

so, we can find radius

r=\frac{36}{2}=18m

and angle as

\theta=240

Since, it is in degree

so, we can change it in radian

\theta=240\times \frac{\pi}{180}

\theta=\frac{4\pi}{3}

now, we can find arc length

L=r\times \theta

now, we can plug values

L=18\times \frac{4\pi}{3}

L=24\pi


5 0
3 years ago
A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a
krok68 [10]
$38.00 x 0.25= $9.50
$38.00 - $9.50= $28.75
$28.75 x 0.06= $1.725
$28.75 + $1.73= $30.48

5 0
3 years ago
Read 2 more answers
The graph shows the relationship between the number of correct answers given by Mini and the number of marks she scored. How man
Alborosie

Answer:

18

Step-by-step explanation:

8 0
3 years ago
The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe
egoroff_w [7]

Answer:

<u><em>6</em></u> rolls because the total perimeter is 102 ft and five rolls is only 100 feet. So she needs <em><u>6</u></em> rolls.

Step-by-step explanation:

to find perimeter, add up all the side lengths.

so 15*4 (it's easier than 15+15+15...)

60 ft.

now we have to use Pythagorean's Theorum to find corner to corner.

so a^2+b^2=c^2

we have a and b

15^2+15^2=c^2

do the math...

225+225= 450

square root of 450=

21.213

double that because it's used twice (corner to corner and corner to corner)

42.426

now add it all up

42.426 + 60 = 102.426

we can round

102

20*5 = 100

so she needs 6

MY ORIGINAL ERROR WAS 5, BUT 5 TIMES 20 IS ONLY 80, SO THEREFORE 6 IS REQUIRED SO THERE IS ENOUGH TO COVER 102.

6 0
3 years ago
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