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Vedmedyk [2.9K]
3 years ago
13

Write the inequality in slope-intercept form. 10x + 5y < 15

Mathematics
1 answer:
mestny [16]3 years ago
7 0
Solve for y
minus 10x from both sides
5y<-10x+15
divide both sides by 5
y<-2x+3
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3 years ago
What is x? -10 - x = -4
Musya8 [376]

Answer:

x = -6

Step-by-step explanation:

-10-x=-4 Add 10 to both sides...

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x=-6

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2 years ago
Find which term in the geometric sequence 1,3,9,27,... is the first to exceed 7,000.
Zielflug [23.3K]

The common ratio between terms is 3, so the sequence has general n-th term

a_n=3^{n-1}

for n\ge1. The term exceeds 7000 when

3^{n-1}>7000\implies n-1>\log_37000\implies n>1+\log_37000\approx9.06

which means the first time a_n exceeds 7000 occurs when n=10. Indeed,

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8 0
4 years ago
Write the explicit rule,
meriva

Answer:

a_{n} = 20n + 12

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 52 - 32 = 72 - 52 = 92 - 72 = 20

This indicates the sequence is arithmetic with explicit formula

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 32 and d = 20, thus

a_{n} = 32 + 20(n - 1) = 32 + 20n - 20 = 20n + 12

7 0
3 years ago
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