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iren [92.7K]
3 years ago
8

Miguel volunteers at a library. He needs to arrange 576 books on shelves for a book sale. There are 16 empty shelves. Miguel put

s an equal number of books on each shelf.
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0

Answer:

The equal number of  books that is arranged on 16 empty shelves is 36 .

Step-by-step explanation:

Given as :

The total number of books Miguel need to arrange = 576

The total number of empty shelves = 16

Let The total number of books arrange on each shelves = x

So , According to question

The total number of books Miguel need to arrange = The total number of empty shelves × The total number of books arrange on each shelves

I.e 576 =  16 × x

Or, x = \frac{576}{16}

∴   x = 36

Hence The equal number of  books that is arranged on 16 empty shelves is 36 .  Answer

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Answer is below..............

7 0
3 years ago
Which statements about the function are true? Select two
iogann1982 [59]

Answer:

The vertex of the function is at (1,-25)

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one.

<em>Part of the graph of the function f(x) = (x + 4)(x-6) is shown  below. </em>

<em>Which statements about the function are true? Select two </em>

<em>options. </em>

<em>The vertex of the function is at (1,-25). </em>

<em>The vertex of the function is at (1,-24). </em>

<em>The graph is increasing only on the interval -4< x < 6. </em>

<em>The graph is positive only on one interval, where x <-4. </em>

<em>The graph is negative on the entire interval  </em>

My answer:

Given the factored form of the function:

f(x) = (x + 4)(x-6)

<=> f(x) = x^{2} - 2x -24

We will convert to vertex form

<=> f(x) = (x^{2} - 2x +1) - 25

<=> f(x) = (x-1)^{2} -25

=> the vertex of the function is: (1,-25)

We choose: a. The vertex of the function is at (1,-25)

Let analyse other possible answers:

<u>c. The graph is increasing only on the interval -4< x < 6.</u>

Because the parameter a =1 so the graph open up all over its domain and the vertex is the lowest point.

So the graph is increasing in the domain (1, +∞)

=> C is wrong

<u>d. The graph is positive only on one interval, where x <-4</u>

Wrong, The graph is positive only on one interval, where x > 6

<u>e. The graph is negative on the entire interval</u>

Wrong, The graph is negative only on one interval, where -4< x < 6.

7 0
3 years ago
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Answer:

Y= 59* X=20cm?

Step-by-step explanation:

I am not 100% sure but it should be close

6 0
3 years ago
What is the form of the Difference of Squares identity?
Feliz [49]
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For example, Let a = 4 and b = 3

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a + b = 4 + 3 = 7
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Thus,

a² - b² = (a+b)(a-b)

So, option C gives the correct answer
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