Match the equivalent expressions 3x+5x+8, 4x+4x, 4x+4x+4x+4x, -7x + 4 + 3x, 8x, 16x, -4x + 4 and 8x + 8

Mathematics

1 answer:

FrozenT [24]2 years ago

4 0

Answer:

Combine like terms; 3x + 5x= 8x

Since you don't have any like terms for +8, it's going to remain the same and not change.

Answer : 3x + 5x + 8 = 8x + 8

Again with combining like terms, 4x + 4x = 8x

Answer: 4x + 4x = 8x

The third expression is going to be very similar to the last problem. 4x + 4x + 4x + 4x. We're going to add the terms together. 4+4+4+4 is equal to 16. Bring the x down and you get...

Answer: 16x

Lastly, we have -7x + 4 + 3x. Do the exact same thing we did to the other problems, combining like terms, shocking, I know. -7x + 3x= -4 and since there's no other like terms for +4, it stays the same. Therefore

Answer: -7x + 4 + 3x = -4 + 4

I hope this helps, mark as brainliest, please? :)

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Initial bacterias = 6006000

Altought I believe is safe to assume that the values were 192,000 and 384,000 instead of 192,192,000 and 384,384,000, in that case the initial bacterias is 6000

Step-by-step explanation:

A exponential growth follows this formula:

Bacterias = C*rⁿ

C the initial amount

r the growth rate

n the number of time intervals

Bacterias (55 hours) = 192,192,000

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$Bacterias(55hours)=C*r^{{\frac{55-t}{t}}} \\Bacterias (66hours) = C*r^{\frac{66-t}{t}}}$

If you divide both you can get the growth rate:

$\frac{Bacterias (66hours)}{Bacterias(55hours)}=\frac{C*r^{\frac{66-t}{t}}}{C*r^{{\frac{55-t}{t}}}} \\\frac{384,384,000}{192,192,000} =r^{\frac{66-t}{t} -\frac{55-t}{t} } \\2 =r^{\frac{11}{t}}$