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r-ruslan [8.4K]
3 years ago
8

Rodrigo is sitting on the branch of an apple tree. He tosses an apple to a friend who is sitting on the ground.

Mathematics
1 answer:
Travka [436]3 years ago
6 0

Answer: A. The apple takes 8 seconds to reach the ground.

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The correct choice is d
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Which of the following shows the extraneous solution(s) to the logarithmic equation? log4 (x) + log4(x - 3) = log4 (-7x + 21)
Salsk061 [2.6K]
First join the log4 on the left:

log4( x*(x-3) = log4(-7x+21)

Then x = -7, works: -7*(-10)=70 = -7*(-7)+21

x=-3, 18 = 42, does not work

x=3 0=0 works,

However, when one puts x = -7 in the *original* exression, log4(-7) or log4(-10) do not exist (you know why?). So x= -7 is extraneous.

Now x=3 gives log4(0) on the left and right, which does not exist.

So, C is the answer, both are extraneous. Seem to work but indeed don't work in the *original* equation
 
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3 years ago
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MANY PTS AND BRAINLY FAST
Troyanec [42]

Answer:

Option C

Step-by-step explanation:

we have

-6x^{2} -6x+12=0

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

-6x^{2} -6x=-12

step 2

Factor -6 leading coefficient'

-6(x^{2} +x)=-12

step 3

Complete the square

Remember to balance the equation by adding the same constants to each side

-6(x^{2} +x+0.25)=-12-1.5

-6(x^{2} +x+0.25)=-13.5

step 4

Rewrite as perfect squares

-6(x+0.5)^{2}=-13.5

simplify

(x+0.5)^{2}=2.25

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Mark is in training for a bicycle race. He needs to ride 50 kilometers a week as part of his training. He rode 18.23 kilometers
kirill115 [55]

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If a bike is $125 how much will it be when its discounted by 20%
weeeeeb [17]

Answer:

160 pages.

Step-by-step explanation:

That is 125 - 0.20 * 125

= 125 - 25

= 160 pages.

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