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Reptile [31]
3 years ago
9

Let m = 6x +5. Which equation is equivalent to (6x + 5)^2 – 10 = -18x – 15 in terms of m?

Mathematics
1 answer:
aev [14]3 years ago
7 0

Answer: m² + 3m - 10 = 0

Step-by-step explanation:

From the expression, considering

6x + 5 = m

The original expression

( 6x + 5 )² - 10 = -18 - 15

Factorize the right hand expression,

-18 - 15 = -3( 6x - 15 )

Since m = 6x + 5 , we now substitute for m in that expression

m² - 10 = -3m

Now re arrange the equation in the form,

ax² - bx + c = 0

Now back to the equation,

m² + 3m - 10 = 0,

So the equivalent equation will be

m² + 3m - 10 = 0

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5 0
3 years ago
The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that
Andrew [12]
We know that 70% of all comic book fans are male, and that 40% of Company A fans are male. 

Since 25% of all comic book fans are company A fans: 
0.4 * 0.25 (meaning 40% of 25%) = 0.1, or 10% of all comic book fans are male company A fans. 

What percentage, then, of male comic book fans are company A fans?
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Answer is 0.14
6 0
3 years ago
Read 2 more answers
Show that 6^3-1 is divisible by 5 using our identities
Doss [256]

Answer:

Step-by-step explanation:

a³-b³=(a-b)(a²+ab+b²)

6³-1=6³-1³=(6-1)(6²+6*1+1²)=5×43

so 6³-1 is divisible by 5.

8 0
2 years ago
Read 2 more answers
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