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LenKa [72]
3 years ago
9

Solve the inequality and express your answer in interval notation.

Mathematics
1 answer:
Vladimir79 [104]3 years ago
4 0

Answer:

\huge\boxed{(4,\ 8)}

Step-by-step explanation:

-104\to4

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A grocery store so the six pack of bottled water for $3.79 a 12 pack for $6.89 which package cost The least per bottle explain y
il63 [147K]
Easiest way to find out the answer to this is to find out the price of every water bottle. To do that you have to divide the whole value by the amount of water bottles. (3.79/6 & 6.89/12) The first one should equal something around .63 each and the second should be around .57. Technically the second pack is cheaper than the other by around .6 cents.
4 0
3 years ago
Find all the zeros of the function <br> g(x)=x^3-4x^2-x+22
vagabundo [1.1K]

Answer:

x = -2, x = 3 − i√8, and x = 3 + i√8

Step-by-step explanation:

g(x) = x³ − 4x² − x + 22

This is a cubic equation, so it must have either 1 or 3 real roots.

Using rational root theorem, we can check if any of those real roots are rational.  Possible rational roots are ±1, ±2, ±11, and ±22.

g(-1) = 18

g(1) = 18

g(-2) = 0

g(2) = 12

g(-11) = 1782

g(11) = 858

g(-22) = -12540

g(22) = 8712

We know -2 is a root.  The other two roots are irrational.  To find them, we must find the other factor of g(x).  We can do this using long division, or we can factor using grouping.

g(x) = x³ − 4x² − 12x + 11x + 22

g(x) = x (x² − 4x − 12) + 11 (x + 2)

g(x) = x (x − 6) (x + 2) + 11 (x + 2)

g(x) = (x (x − 6) + 11) (x + 2)

g(x) = (x² − 6x + 11) (x + 2)

x² − 6x + 11 = 0

Quadratic formula:

x = [ 6 ± √(36 − 4(1)(11)) ] / 2

x = (6 ± 2i√8) / 2

x = 3 ± i√8

The three roots are x = -2, x = 3 − i√8, and x = 3 + i√8.

5 0
3 years ago
(2p + 4) + 5 (p-1) - (p+7)
jonny [76]

<em>Your answer will be, </em><em>"6p - 8"</em>

Thanks,

<em>Deku ❤</em>

6 0
3 years ago
Hannah wants to make a necklace for her best friend. She wants to use one hundred 1.7 mm beads, twenty-five 6.5 mm beads, and fi
lesya692 [45]

Answer:

B is correct

Step-by-step explanation:

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2 years ago
Help please PLEASE IM FREAKING SERIOUS IF I DONT FINISH IT BY 9 IM DEAD ILL GIVE 50 POINTS HELP PLEASE IM ACTUA;LY FRICKIN SERRI
yuradex [85]

Answer:

1/4 i think

Step-by-step explanation:

hope this helps

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