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Galina-37 [17]
3 years ago
11

Simplify the expression.

Mathematics
2 answers:
yuradex [85]3 years ago
5 0

Answer:

16 {( \frac{1}{2} x)}^{4}  \\  = 16 \times  {( \frac{1}{2}) }^{4}  {x}^{4}  \\  = 16 \times  \frac{1}{16}  {x}^{4}  \\  =  {x}^{4}  \\ thank \: you

GarryVolchara [31]3 years ago
5 0

<u>Solution</u><u>:</u>

16 \times \bigg ( \frac{x}{2}  \bigg)^{4}  \\  \\  = 16 \times  \bigg( \frac{x^{4} }{2^{4} }  \bigg) \\  \\  = 16 \times  \frac{ {x}^{4} }{16}  \\  \\  =  {x}^{4}   \\  \\

Therefore answer is x⁴

<em>Hope</em><em> </em><em>it </em><em>helps</em><em> </em><em>you </em><em> </em>:)

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f  = 3.1

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First you must subtract 6.4 from both sides to get -4.8f = -14.88. Divide both sides by -4.8 to get f = 3.1

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What is less 16.45 or 16.454
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Find an equation in standard form of the parabola passing through these points: (0,-6),(-1,-12),(3,0)
Elan Coil [88]
One form of the equation of a parabola is
y = ax² + bx + c

The curve passes through (0,-6), (-1,-12) and (3,0). Therefore
c = - 6                       (1)
a - b + c = -12            (2)
9a + 3b + c = 0         (3)

Substitute (1) into (2) and into (3).
a - b -6 = -12
a - b = -6                  (4)
9a + 3b - 6 = 0
9a + 3b = 6              (5)

Substitute a = b - 6 from (4) into (5).
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The equation is
y = -x² + 5x - 6 

Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
   = -[ (x - 2.5)² - 2.5²] - 6
   = -(x - 2.5)² + 6.25 - 6

y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
The axis of symmetry is x = 2.5
Because the leading coefficient is -1 (negative), the curve opens downward.
The graph is shown below.

Answer: y = -(x - 2.5)² + 0.25

3 0
4 years ago
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