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aniked [119]
3 years ago
12

What two numbers multiply and get 100 and add and get -29??

Mathematics
2 answers:
butalik [34]3 years ago
6 0
X, y - the numbers

The numbers multiply to 100.
xy=100

The numbers add up to -29.
x+y=-29 \\
y=-x-29

Substitute -x-29 for y in the first equation:
x(-x-29)=100 \\
-x^2-29x=100 \\
-x^2-29x-100=0 \\
-x^2-4x-25x-100=0 \\
-x(x+4)-25(x+4)=0 \\
(-x-25)(x+4)=0 \\
-x-25=0 \ \lor \ x+4=0 \\
x=-25 \ \lor \ x=-4 \\ \\
y=-x-29 \\
y=-(-25)-29 \ \lor \ y=-(-4)-29 \\
y=25-29 \ \lor \ y=4-29 \\
y=-4 \ \lor \ y=-25 \\ \\
(x,y)=(-25,-4) \hbox{ or } (x,y)=(-4,-25)

The numbers are -4 and -25.
rodikova [14]3 years ago
5 0
I simply start by writing the possible factors of 100
1x100
2x50
4x25  this is the correct combination
therefore -25 x - 4= 100
               -25+  -4= -29
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3 years ago
g What is the probability of being dealt exactly three of a kind (like three kings or three 7’s, etc.) in a five card hand from
Elena L [17]

Answer: 0.02257

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Number of ways to select three cards in a five card hand of a single kind : ^{4}C_3\times^{48}C_2

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Now , the required probability = \dfrac{13\times^{4}C_3\times^{48}C_2}{^{52}C_5}

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8 0
3 years ago
a country's population in 1990 was 134 million. in 2000 it was a 139 million. estimate the population in 2014 using the exponent
yuradex [85]
F=ir^t

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139/134=r^10

r=(139/134)^(1/10) then:

f=134(139/134)^(t/10)  so in 2014, t=24 so

f=134(139/134)^(2.4)

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Some will say that you have to use the exponential function, but it really gives you the same answer...even for continuous compounding :)...

A=Pe^(kt)

139=134e^(10k)

139/134=e^(10k)

ln(139/134)=10k

k=ln(139/134)/10 so

A=134e^(t*ln(139/134)/10)  when t=24

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A≈146 million (to nearest million)

The only real reason or advantage to using A=Pe^(kt) is when you start getting into differential equations...
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