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velikii [3]
2 years ago
8

For each expression, write an equivalent expression in standard form. Show your reasoning. a.) (2x + 5)(x + 1)

Mathematics
1 answer:
kumpel [21]2 years ago
7 0

ANSWER

2x² + 7x + 5

EXPLANATION

This is a quadratic function, because it has two 'x' multiplying in different terms.

The standard form of a quadratic function is:

ax^2+bx+c

To transform this expression in standard form we have to apply the distributive property to multiply the terms in the parenthesis:

So for this expression a = 2, b = 7 and c = 5.

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Answer:

200

Step-by-step explanation:

Multiply all of the different types.

4 0
3 years ago
Small library contains 700 novels. how many ways can You check out three novels
schepotkina [342]

The first book you select can be any one of 700.

. . . For each of those ...

The second book can be any one of the other 699.

. . . For each of those ...

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The total number of ways to gather three books from the shelves into your hands is  (700 · 699 · 698)  =  <em>341,531,400 ways</em> .

<em>BUT ...</em>

When you bring three books to the check-out counter, Marian the Librarian doesn't know in which order you took them down off the shelves.  You could have gathered the same three books in (3 · 2 · 1) = 6 different ways.

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8 0
4 years ago
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
serg [7]

Given:

A figure.

To find:

The values of x and y.

Solution:

We know that, in a right angled triangle,

\sin \theta =\dfrac{Perpendicular}{Hypotenuse}

\sin 60^\circ =\dfrac{x}{16}

\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}

Multiply both sides by 16.

\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16

8\sqrt{3}=x

And,

\cos \theta =\dfrac{Base}{Hypotenuse}

\cos 60^\circ =\dfrac{y}{16}

\dfrac{1}{2}=\dfrac{y}{16}

Multiply both sides by 16.

\dfrac{16}{2}=y

8=y

Therefore, the missing side lengths are x=8\sqrt{3} and y=8.

6 0
3 years ago
18z-13=-4 solve for z
Murljashka [212]

Answer: 20 ;)

Step-by-step explanation:

4 0
3 years ago
Hello I need help with my math it’s this am I right
Ivan

Yes, I believe so. I am not sure of what exactly are you learning.

4 0
3 years ago
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