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GenaCL600 [577]
3 years ago
5

Simplify the expression by combining like terms. 1/2d - 3/4d + 3f - 2f

Mathematics
2 answers:
lutik1710 [3]3 years ago
8 0

Answer:

-1 /4 d - f

Step-by-step explanation:

Like terms imply that they have the same variables.

Therefore we grouped the "d"s together and the "f"s together.

1/2 d - 3/4 d + 3f - 2f

= (1/2 d - 3/4 d) + (3f - 2f)

= (1/2 - 3/4)d + (3 - 2)f

= -1 /4 d - f

Anit [1.1K]3 years ago
8 0

Answer:

-1 /4 d - f

Step-by-step explanation:

1/2 d - 3/4 d + 3f - 2f

= (1/2 d - 3/4 d) + (3f - 2f)

= (1/2 - 3/4)d + (3 - 2)f

= -1 /4 d - f

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3 years ago
PLEASE ANSWER! Given the functions f(x) = x2 + 6x - 1, g(x) = -x2 + 2, and h(x) = 2x2 - 4x + 3, rank them from least to greatest
Ratling [72]

Answer:

<em>he rank from least to great based on their axis of symmetry: </em>

0, 1, -3 ⇒ g(x), h(x), f(x)

So, <em>option C</em> is correct.

Step-by-step explanation:

A quadratic equation is given by:

ax^2+bx+c =0

Here, a, b and c are termed as coefficients and x being the variable.

<em>Axis of symmetry can be obtained using the formula</em>

x = \frac{-b}{2a}

Identification of a, b and c in f(x), g(x) and h(x) can be obtained as follows:

f(x) = x^2 + 6x - 1

⇒ a = 1, b = 6 and c = -1

g(x) = -x^2 + 2

⇒ a = -1, b = 0 and c = 2

h(x) = 2^2 - 4x + 3

⇒ a = 2, b = -4 and c = 3

So, axis of symmetry in f(x) = x^2 + 6x - 1 will be:

x = \frac{-b}{2a}

x = -6/2(1) = -3

and axis of symmetry in g(x) = -x^2 + 2 will be:

x = \frac{-b}{2a}

x = -(0)/2(-1) = 0

and axis of symmetry in h(x) = 2^2 - 4x + 3 will be:

x = \frac{-b}{2a}

x = -(-4)/2(2) = 1

<em>So, the rank from least to great based on their axis of symmetry: </em>

0, 1, -3 ⇒ g(x), h(x), f(x)

So, <em>option C</em> is correct.

<em>Keywords: axis of symmetry, functions</em>

<em>Learn more about axis of symmetry from brainly.com/question/11800108</em>

<em>#learnwithBrainly</em>

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Answer:

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Step-by-step explanation:

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6 0
2 years ago
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Lyrx [107]

Answer:

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9.639 * 10^3

Step-by-step explanation:

This question was unclear but this is the closest I understood of.

Hope this helped! :)

4 0
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Tiffany is 34 years old and Vanessa is 6 years old. How many years will it take until Tiffany is only 3 times as old as Vanessa?
Dmitrij [34]
Let t be the required number of years.
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