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Sonbull [250]
3 years ago
12

Please help me solve each question! Make sure to show work so I can earn full credit.

Mathematics
2 answers:
omeli [17]3 years ago
8 0

(1)

5x-5\geq10\,\,\mbox{or}\,\,-3x+1>13\\5x\geq15\,\,\mbox{or}\,\,-3x>12\\x\geq3\,\,\mbox{or}\,\,x

(2)

5x + 3\leq18 \,\,\mbox{and}\,\,4 - x < 6\\5x\leq15 \,\,\mbox{and}\,\,- x < 2\\x\leq3 \,\,\mbox{and}\,\,x > 2\\2

IgorC [24]3 years ago
5 0

Answer:

1.  x < -4 or x ≥ 3

2.  -2 <  x ≤  3<em> </em>

Step-by-step explanation:

1. 5x - 5 ≥ 10

5x ≥ 15

x ≥ 3

-3x + 1 > 13

-3x > 12

x < -4

Solution is       x < -4 or x ≥ 3


2. 5x + 3 ≤ 18

5x ≤ 15

x ≤ 3

4 - x < 6

-x < 2

x > - 2

answer is   -2 < x ≤  3

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ELEN [110]

Answer:

<h3>Hence required integers are 11 and 13</h3>

Let x an odd positive integer

Then, according to question

x^2 +(x+2)^2=290

2x^2 +4x−286=0

x^2 +2x−143=0

x ^2+13x−11x−143=0

(x+13)(x−11)=0

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Hence required integers are 11 and 13

Step-by-step explanation:

Hope it is helpful....

7 0
3 years ago
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Thepotemich [5.8K]

To solve, simply do this:

(\frac{1}{2}^3)-(\frac{3}{4} )^2\\\\\frac{1}{2} *\frac{1}{2} *\frac{1}{2} *\frac{1}{2} \\\\\frac{1}{8} -(\frac{3}{4})^2\\\\\frac{1}{8}-\frac{9}{16}\\\\=\frac{-7}{16}

Then you'll get the answer, -7/16

7 0
3 years ago
Four students are trying to find the rule that translates point N(–2, –4) to N prime (2, 4). Each student’s reasoning is shown b
liraira [26]

Answer:

Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).

Step-by-step explanation:

i) though Raheem is mathematically correct the question asks for a translation which means that we can only use addition and/or subtraction and not multiplication. So Raheem's answer is therefore incorrect.

ii) Casey's answer is incorrect as applying the rule (x+2, y+4) on the coordinates N(-2, -4) will gives us (0,0) and not N'(2,4)

iii) Andrew's answer is also incorrect as applying the rule (x+4, y+0) on the coordinates N(-2, -4) will gives us (2,-4) and not N'(2,4).

iv) Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).

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