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Dominik [7]
4 years ago
10

Which number is a solution to the inequality?

Mathematics
2 answers:
mote1985 [20]4 years ago
5 0
Answer is a.
6>z(10-z) | z(10-z)<6 | 10z-z^2<6 | -z^2+10z-6<0

Multiply by -1: z^2-10z+6>0



Margaret [11]4 years ago
4 0
6 > z(10 - z)
6 > 10z - z^2
z^2 - 10z^2 + 6 < 0
z > 9.36, z < 0.64

Therefore, option a is the correct answer.
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Licemer1 [7]

Answer:

30/343

Step-by-step explanation:

to find the volume of a rectangle you multiply all three fraction

5/7*3/7*2/7

5/7*3/7=15/49

15/49*2/7=30/343

30/343

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3 years ago
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Anna007 [38]

1)

n         1          2         3           4         5         6

f(n)    1033    932     831      730     629     528

First term (a₁):  <u>1033 </u>          Common difference (d): <u>-101 </u>

Explicit rule:  a_{n} = 1134 - 101n    Recursive rule: a_{n} = a_{n-1} - 101

a_{n} = a_{1} + d(n - 1)

a_{n} = 1033 - 101(n - 1)

a_{n} = 1033 - 101n + 101

a_{n} = 1134 - 101n

***********************************************************************************

2)

n         1          2         3           4         5         6

f(n)   -39      -29       -19        -9          9        19

First term (a₁):  <u> -39  </u>          Common difference (d): <u> +10  </u>

Explicit rule:  a_{n} = -49 + 10n    Recursive rule: a_{n} = a_{n-1} + 10

a_{n} = a_{1} + d(n - 1)

a_{n} = -39 + 10(n - 1)

a_{n} = -39 + 10n - 10

a_{n} = -49 + 10n

***********************************************************************************

3)

n         1          2         3           4         5         6

f(n)   3.75      2.5     1.25        0      -1.25     -2.5

First term (a₁):  <u> 3.75  </u>          Common difference (d): <u> -1.25  </u>

Explicit rule:  a_{n} = 5 - 1.25n    Recursive rule: a_{n} = a_{n-1} - 1.25

a_{n} = a_{1} + d(n - 1)

a_{n} = 3.75 - 1.25(n - 1)

a_{n} = 3.75 - 1.25n + 1.25

a_{n} = 5 - 1.25n


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