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KengaRu [80]
3 years ago
7

Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)

Mathematics
2 answers:
nikitadnepr [17]3 years ago
7 0
<span>8x+4y+(-8z^2)+[3z+(-5z)] the answer is D</span>
Softa [21]3 years ago
3 0

we are given

(8x+3z-8z^2)+(4y-5z)

we can group x-terms with x and y-terms with y and z terms with z

so, we get

=8x+3z-8z^2+4y-5z

we can make groups

=8x+4y+3z-8z^2-5z

=8x+4y+3z-5z-8z^2

we can also write it as

=8x+4y+(-8z^2)+[3z+(-5z)]

so, option-D.........Answer

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Answer: After 16 seconds the boats will be traveling the same speed.

Step-by-step explanation:

Given: Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.

Mike's spewed after x seconds = 12 + 0.2x

Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second.

Hank's speed after x seconds = 26.4 -0.7 x

As per given,

12 + 0.2x =  26.4 -0.7 x

Subtract 12 from both sides

0.2x= 26.4-12-0.7x

⇒ 0.2x= 14.4-0.7x

Add 0.7xn on both sides , we get

0.2x+0.7x= 14.4

⇒ 0.9x = 14.4

Multiply 10 on both sides, we get

9x=144

Divide both sides by 9 , we get x= 16

Hence, after 16 seconds the boats will be traveling the same speed.

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