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algol [13]
2 years ago
10

Rewrite the function by completing the square h(x)=4x^2+4x+1

Mathematics
1 answer:
lisov135 [29]2 years ago
8 0

Answer:

h(x) = 4(x+\frac{1}{2})^{2}

Step-by-step explanation:

h(x)=4x^2+4x+1\\h(x)=4(x^2+x+\frac{1}{4}) \\h(x)=4(x^2+x+\frac{1}{4})\\h(x) = 4(x+\frac{1}{2})^{2}

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What is the slope of the line graphed below?
Zielflug [23.3K]

Answer:

a

Step-by-step explanation:

y2-y1 / x2-x1

1-2 / 3-(-2)

1-2 / 3+2

-1 / 5

5 0
3 years ago
Read 2 more answers
What is the domain and range? <br><br> {(-7,5), (-6,1), (-5,0), (-4,1)}
Monica [59]
The Domain is the first number of the pair
D= -7, -6, -5, -4
The Range is the second number of the pair
R= 5, 1, 0, when a number repeats like the number one you can put it once.


8 0
3 years ago
Find the sum. Express your answer in simplest form.
Marina86 [1]

Answer:

\frac{10x^2+3}{y^2+4}

Step-by-step explanation:

When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )

So we have \frac{6x^2+5}{y^2+4} +\frac{4x^2-2}{y^2+4} =\frac{(6x^2+5)+(4x^2-2)}{y^2+4}

==> remove parenthesis and apply signs

\frac{x^2+5+4x^2-2}{y^2+4}

==> simplify numerator by combining like terms

\frac{10x^2+3}{y^2+4}

and we are done!

Note:

like terms are terms with the same variable and exponent

An example of like terms are 6x^7 and 3x^7 as they have x as a variable and a power of 7

The like terms being combined here were (6x² and 4x²) and (5 and -2)

7 0
1 year ago
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Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books
photoshop1234 [79]

ok but what's the question? u gave us info but what's the question

8 0
2 years ago
What are some decimals for 9/2 other than 4.5
PolarNik [594]

Answer:

1.4953

Step-by-step explanation:

You will need to break down 4.5

4√5

1.4953

8 0
2 years ago
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