Hello! So, in order to solve this question, we should do 500/4. 500/4 = 125. Multiply 125 by 3 and you get 375. The horse costs $125 and the carriage costs $375.
Answer:
Discriminant is 60
Step-by-step explanation:
the discriminant of 
To find discriminant , first we write the equation in the form of
Subtract 2 on both sides
a=3, b=6, c=-2
Formula for discriminant is 
Plug in the values
Discriminant is 60
Answer:
Step-by-step explanation:
5x+3y=1
4x-5y=4
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4(5x+3y)=4(1)
-5(4x-5y)=-5(4)
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20x+12y=4
-20x+25y=-20
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37y=-16
y=-16/37
5x+3(-16/37)=1
5x-48/37=1
5x=1+48/37
5x=37/37+48/37
5x=85/37
x=(85/37)/5
x=(85/37)(1/5)
x=85/185
x=17/37
Answer: x=17/37, y=-16/37. (17/37, -16/37)
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5x+3y=1
8x-10y=4
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8(5x+3y)=8(1)
-5(8x-10y)=-5(4)
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40x+24y=8
-40x+50y=-20
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75y=-12
y=-12/75=-4/25
5x+3(-4/25)=1
5x-12/25=1
5x=1+12/25
5x=25/25+12/25
5x=37/25
x=(37/25)/5
x=(37/25)(1/5)
x=37/125
Answer: x=37/125, y=-4/25. (37/125, -4/25).
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5x+3y=1
9x-2y=5
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2(5x+3y)=2(1)
3(9x-2y)=3(5)
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10x+6y=2
27x-6y=15
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37x=17
x=17/37
5(17/37)+3y=1
85/37+3y=1
3y=1-85/37
3y=37/37-85/37
3y=-48/37
y=(-48/37)/3
y=(-48/37)(1/3)
y=-48/111
Answer: x=17/37, y=-48/111. (17/37, -48/111).
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Answer:
129 points
Step-by-step explanation:
Let L and C represent the scores of Luke and Caleb, respectively.
L = 2C -15 . . . . . Luke scored 15 less than twice the number Caleb did
L +C = 201 . . . . . they scored 201 points altogether
Add twice the second equation to the first:
2(L +C) + (L) = 2(201) + (2C -15)
3L +2C = 387 +2C . . . . simplify
3L = 387 . . . . . . . . . . . . .subtract 2C
L = 387/3 = 129 . . . . . . .divide by 3
Luke scored 129 points.
