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pav-90 [236]
3 years ago
11

Can I get some help been trying to figure this question on but don’t seem to get it.

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0

Answer:

  • left box: 25/36
  • right box: 5/6

Step-by-step explanation:

If you square the binomial (x -a), you get ...

  (x -a)² = x² -2ax +a²

Comparing this to your equation, you find that ...

  -2a = -5/3 . . . . . . the x-coefficient

  a = (1/2)(5/3) = 5/6

So, the number in the right box is 5/6, and the number in the left box is its square, (5/6)² = 25/36.

Filling these in, the equation reads:

  x² -5/3x +25/36 = (x -5/6)²

__

That is, the constant in the squared binomial is half the x-coefficient.

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Answer:

The money Rachael plan to collect for the shelter is <u>$345</u>.

Step-by-step explanation:

<u><em>There are some data missing in the question, so below is the complete question:</em></u>

Rachel is collecting donations for the local animal shelter. So far she has collected $245, which is 70% of what she hopes to collect. How much money does Rachel plan to collect for the shelter?

Now, to find the money Rachael plan to collect for the shelter.

Let the total money Rachael plan to collect be x.

The amount far she has collected = $245.

Percentage of amount she hopes to collect = 70%.

Now, to get the total money Rachael plan to collect:

70\%\ of\ x=245

\frac{70}{100} \times x=245

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<em>Dividing both sides by 0.70 we get:</em>

x=\$345.

Therefore, the money Rachael plan to collect for the shelter is $345.

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