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3 years ago

9

Meg loves to read. Her favorite author is Dr. Seuss. For every 11 books Meg owns 8 are Dr. Seuss books. If Meg has 40 Dr. Seuss

books, how many total books does she have?

1 answer:

ANTONII [103]3 years ago

8 0

Answer:

Step-by-step explanation:

if the ratio is 8:11 then 40:x

Cross multiply

8 40

11 x

8x=440

And divide by 8

x=55. She has 55 books

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Snowcat [4.5K]

<u>Given</u>:

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BARSIC [14]

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Delicious77 [7]

Answer:

$\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }$

Step-by-step explanation:

Hello,

We need to express this parabola using this kind of expression

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and then, the line of symmetry will be the line x = b

Let's do it !

$\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }$

So the line of symmetry is

$\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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