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lyudmila [28]
3 years ago
12

Find the 8th term of the geometric sequence 10, -40, 160, ...

Mathematics
2 answers:
mart [117]3 years ago
3 0

Answer:

-163840

Step-by-step explanation:

Bas_tet [7]3 years ago
3 0
-163840 dirnnenemwfiire
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If 18 is subtracted from twice the square of an integer, the
Sergeu [11.5K]

Answer:

-3/2

Step-by-step explanation:

Let x = the integer:

2x^2 - 18 = 9x

2x^2 - 9x - 18 = 0

Now either factor that or use the quadratic formula if you're lazy like me.

x = -3/2 and 6, so x must be 6 because it has to be an integer.

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Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel. How old is kevin now?
puteri [66]
K = Kevin's age
D = Daniel's age

K = 3D

K - 4 = 5(D - 4)

Plug in 3D for the K values in the second equation.

3D - 4 = 5(D - 4)   Use the Distributive Property
3D - 4 = 5D - 20   Add 4 to both sides
     3D = 5D - 16     Subtract 5D from both sides
    -2D = -16            Divide both sides by -2
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 Now, plug that D value into the original equation.

K = 3D    Plug in the D value
K = 3(8)   Multiply
K = 24

Finally, you can double check your math.

4 years ago, Daniel would've been 4 and Kevin would be 20, so Kevin would've been 5 times as old as Daniel.  And 8 x 3 = 24.

So, Kevin is 24.
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