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algol13
4 years ago
8

Two people played a game in which each player earns or loses points in each turn. A player's total score after two turns is the

sum of his points earned or lost. The player with the greater score after two turns wins. One person earned 123 points and lost 180 points. The other earned 185 points and lost 255 points. Which person won the game? Explain.
Mathematics
1 answer:
koban [17]4 years ago
6 0
The first person  ends up with 123-180 =  -57 points  They lost more tah they earned.

The second one ends up with 185-255 = -70 points.

-57 is greater than -70 so the first player is the winner.
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Solve for y, give the slope and y intercept 5y=20, -y + 3=15x, y +1/3x=17
qaws [65]
     5y=20                                     Equation

y=4                                            Divide by 5 on both sides

5(4)=20                                     Plug in for y

20=20                                        Simplify

y=4
slope= 0
y-intercept= 4

     ^{-}y+3=15x                           Equation

^{-}y=15x-3                              Subtract 3 from both sides

y=-15x+3                                  Divide both sides by -1 

- (^{-}15x+3) +3=15x               Plug in for y

15x-3+3=15x                            Distribute -1 into the parenthesis

15x=15x                                    Further simplified

y= -15x+3
slope= -15
y-intercept= 3

     y+ \frac{1}{3}x=17              Equation

y=^{-}\frac{1}{3}x+17               Subtract 1/3x from both sides

(^{-}\frac{1}{3}x+17 )+\frac{1}{3}x =17    plug in for y

17=17                                       Simplify

y= -1/3x+17
slope= -1/3
intercept= 17


8 0
3 years ago
Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 392 meters
antiseptic1488 [7]

Answer:

the length is 98 meters and the width 98 meterss

Step-by-step explanation:

We have that the length is l and the width is w, we know that:

P = 2 * w + 2 * l

if we solve for it, we have:

l = P / 2 - w

Now, we know that the area is:

A = l * w

if we replace l, we are left with:

A = (P / 2 - w) * w

A = P * w / 2 - w ^ 2

we derive to know the maximum area and we equal 0 and we have:

A '= P / 2 - 2 * w

0 = P / 2 - 2 * w

w = P / 4

now for him:

l = P / 2 - P / 4

l = P / 4

Therefore, if we replace:

l = 392/4 = 98

w = 392/4 = 98

For the maximum area the length is 98 meters and the width 98 meterss

6 0
4 years ago
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lina2011 [118]

Answer:

m is equal to -1 ± 2√3, which is approximately equal to 2.46 and -4.46

Step-by-step explanation:

-4m² + 2m - 11 = -5m²

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(m + 1)² = 12

m + 1 = ± √12

m = -1 ± 2√3

4 0
3 years ago
Given r= 10 and e=0.57, find the Cartesian coordinates. Check your answer.
Rudik [331]
I think it is d not sure tho
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4 years ago
Helpp simplify thissss
ryzh [129]

Answer:

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Step-by-step explanation:

8c^3d^2/4cd^2

divide the 8 by 4 to get 2

You subtract the powers so c^3-c=c^2   the d^2 cancel each other out

that leaves 2c^2

5 0
3 years ago
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