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tiny-mole [99]
3 years ago
10

Which of the following statements says that a number is between -3 and 3? A. |x|< 3 B. |x| =3 C. |x| >3

Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0

Answer:

A

Step-by-step explanation:

|x|< 3 translates to

x < 3 AND -x < 3

which simplifies to

x < 3 AND x > -3

so, yes, -3 < x < 3

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B. x = 0.14

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Which set of points contains the solutions to the inequality y ≤ 8x – 3? A. {(–3,–17), (4,11), (7,19)} B. {(3,22), (2,3), (8,27)
Nady [450]

Just to clarify, here are the answer choices:

A. {(–3,–17), (4,11), (7,19)}

B. {(3,22), (2,3), (8,27)}

C. {(4,29), (–6,–58), (7,19)}

D. {(–2,–18), (4,37), (5,15)}


And all of the points in the set must satisfy y ≤ 8x – 3.

The only way is to go through each answer choice, eliminating each that is wrong.


A) -17 ≤ -3*8-3

-17 ≤ -21 ✘

B) 22 ≤ 3*8-3

22 ≤ 21 ✘

C) a) 29 ≤ 8*4-3

29≤29 ✔

   b) -58 ≤ 8*(-6)-3

-58 ≤ -49 ✔

   c) 19 ≤ 7*8-3

19 ≤ 53  ✔


It becomes clear that the answer is C. But just to make sure, we must check D to make sure C is really the answer.

D) -18 ≤ 8(-2)-3

-18 ≤ -19 ✘


That means that C is the answer.



8 0
3 years ago
Can anyone help me out??
Troyanec [42]

9514 1404 393

Answer:

  p(1) = 6

Step-by-step explanation:

The basic idea is to put 1 wherever you see x. That gives you ...

  p(1) = 2·1² +3·1 +1

The powers of x are all 1 when x=1, so the value of p(1) is just the sum of the coefficients:

  p(1) = 2 + 3 + 1

  p(1) = 6

7 0
2 years ago
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