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meriva
2 years ago
12

27 percent of the class prefers barbecue chips 2 regular potato chips. If there are 100 students in the class how many students

do not prefer barbecue chips
Mathematics
2 answers:
Harlamova29_29 [7]2 years ago
4 0
73% of the students do not prefer BBQ chips
ivann1987 [24]2 years ago
3 0

Answer:

73

Step-by-step explanation:

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Define f(0,0) in a way that extends f to be continuous at the origin. f(x, y) = ln ( 19x^2 - x^2y^2 + 19 y^2/ x^2 + y^2) Let f (
kirill115 [55]

Answer:

f(0,0)=ln19

Step-by-step explanation:

f(x,y)=ln(\frac{19x^2-x^2y^2+19y^2}{x^2+y^2}) is given as continuous function, so there exist lim_{(x,y)\rightarrow(0,0)}f(x,y) and it is equal to f(0,0).

Put x=rcosA annd y=rsinA

f(r,A)=ln(\frac{19r^2cos^2A-r^2cos^2A*r^2sin^2A+19r^2sin^2A}{r^cos^2A+r^2sin^2A})=ln(\frac{19r^2(cos^2A+sin^2A)-r^4cos^2Asin^a}{r^2(cos^2A+sin^2A)})

we know that cos^2A+sin^2A=1, so we have that

f(r,A))=ln(\frac{19r^2-r^4cos^2Asin^a}{r^2})=ln(19-r^2cos^2Asin^2A)

lim_{(x,y)\rightarrow(0,0)}f(x,y)=lim_{r\rightarrow0}f(r,A)=ln19

So f(0,0)=ln19.

8 0
3 years ago
Solve the system of equations using the substitution method.
Firdavs [7]

y = -1 + 3/8x

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Substitute the first equation into the second equation, since y is already by itself.

2x - 5(-1 + 3/8x) = 6

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2x - 15/8x = 1

16/8x - 15/8x = 1

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x = 8


Plug x into either of the equations.

y = -1 + 3/8(8)

y = -1 + 3

y = 2


2(8) - 5y = 6

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(8,2)

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3 years ago
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sasho [114]

Answer:9

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3 years ago
Draw the graph of g(x) = 2x + 3, if x ≥ 1 g(x) = 5, if x > 1
trapecia [35]
G(x)=2x+3
x <span>≥ 1
g(x)=5
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</span>
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3 years ago
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maria [59]
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3 years ago
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