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Vanyuwa [196]
3 years ago
10

Evelyn bought 60 tickets for rides at an amusement park. Each ride costs 3 tickets, and Evelyn has been on x rides so far. Selec

t all the expressions that show the number of tickets that Evelyn has left.
a 60 − 3x
b 3(20 − x)
c 60 + 3x
d 3(20 + x)
e −3x + 60
Mathematics
1 answer:
MArishka [77]3 years ago
8 0

Answer:

a

Step-by-step explanation:

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0.11 * 320 +43 =78.2
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What is the value of n such that the expression x² + 11x + n is a perfect square trinomial? a. 11. b. 25. c. 30. d.25. e.36
lapo4ka [179]

Answer:

The value of n is 30.25.

Step-by-step explanation:

The given expression is

x^2+11x+n             ....(1)

The perfect square trinomial are defined as

(x+y)^2=x^2+2xy+y^2                 .....(2)

On comparing (1) and (2), we get

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Therefore the value of n is 30.25.

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Find the first five terms of the sequence in which a1 = 6 and an = –3an – 1 – 12, if n ≥ 2.
KatRina [158]

Answer:

\huge\boxed{6,\ -30;\ 78;\ -246;\ 690}

Step-by-step explanation:

a_1=6\\a_n=-3a_{n-1}-12\qquad n\geq2\\\\\text{Substitute}\ n=2,\ n=3,\ n=4,\ n=5\ \text{to}\ a_n=-3a_{n-1}-12:\\\\\text{for}\ n=2\\\\a_2=-3a_{2-1}-12=-3a_1-12\\\\\text{substitute}\ a_1=6\\\\a_2=-3(6)-12=-18-12=-30\\\\\text{for}\ n=3\\\\a_3=-3a_{3-1}-12=-3a_2-12\\\\\text{substitute}\ a_2=-30\\\\a_3=-3(-30)-12=90-12=78

\text{for}\ n=4\\\\a_4=-3a_{4-1}-12=-3a_3-12\\\\\text{substitute}\ a_3=78\\\\a_4=-3(78)-12=-234-12=-246\\\\\text{for}\ n=5\\\\a_5=-3a_{5-1}-12=-3a_4-12\\\\\text{substitute}\ a_4=-246\\\\a_5=-3(-246)-12=702-12=690

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4 years ago
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Answer:

m = \frac{1}{2}

Step-by-step explanation:

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