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3 years ago

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The library is to be given 7 books as a gift. The books will be selected from a list of 15 titles. If each book selected must ha

ve a different title, how many possible selections are there?

1 answer:

Elanso [62]3 years ago

5 0

If each book selected must have a different title, THERE ARE 15 POSSIBLE SELECTIONS.

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Question 9: Help please

ivanzaharov [21]

The answer is A.
This is because when translating up, you will add to the end of the equation the amount that the graph has been translated up. Hope this helps!

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4 years ago

Solve the equation –4 In(6x) = 2.<br> O A. 0.101<br> B. 0.275<br> C 3.639<br> D. 67.238

EastWind [94]

Isolate the variable using algebraic manipulation.

$-4 ln(6x)=2$

$ln(6x)=-\frac{1}{2}$

$6x=e^{-\frac{1}{2}}$

$x=\frac{e^-\frac{1}{2}}{6}$

$x=0.101$

Hope this helps.

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3 years ago

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The triangle shown below has an area of 16 units^2<br> Find x.

Oduvanchick [21]

Answer:

8 units squared

Step-by-step explanation:

Here's the formula of a triangle

base*height divided by 2

So, we know that the base is 4.

We have to work backwards.

16*2 is 32

32 divided by 4 is 8.

Now let's see

8*4 is 32 divided by 2 is 16!

Hope you understand :)

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3 years ago

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Select all the pieces of the triangle that are marked as congruent in the following picture

nikitadnepr [17]

Answer:

C. D. E. is the correct answer.

Step-by-step explanation:

Hope this helps you. Have a nice day. If you have doubt then please ask in comments.

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2 years ago

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1. Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial i

Katena32 [7]

Polynomial with real coefficients always has even number of complex roots. We know that one of them is 2 + 5i so the second one will be 2 - 5i and:

$f(x)=\big(x-4\big)\big(x-(-8)\big)\big(x-(2+5i)\big)\big(x-(2-5i)\big)=\\\\=(x-4)(x+8)(x-2-5i)(x-2+5i)=\\\\=(x^2-4x+8x-32)(x^2-2x+5ix-2x+4-10i-5ix+10i-25i^2)\\\\=\big(x^2+4x-32\big)\big(x^2-4x+4-25\cdot(-1)\big)=\\\\=(x^2+4x-32)(x^2-4x+29)=\\\\=x^4-4x^3+29x^2+4x^3-16x^2+116x-32x^2+128x-928=\\\\=\boxed{x^4-19x^2+244x-928}$

Answer B.

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3 years ago

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