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2 years ago

A = 8, b = 4, and c = 16

Mathematics

2 answers:

horsena [70]2 years ago

5 0

<h3>Answer: $\sf 3\dfrac{4}{31} \quad or \quad \dfrac{97}{31}$ </h3>

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The given expression:

$\sf \dfrac{2b + 3c^2}{4a^2 - 2b}$

Here given <u>a = 8</u>, <u>b = 4</u>, and <u>c = 16</u>

<u />

Inserting this values

$\sf \dfrac{2(4) + 3(16)^2}{4(8)^2 - 2(4)}$

Simplify following

$\sf \dfrac{8 + 3(256)}{4(64) - 8}$

Distribute inside parenthesis

$\sf \dfrac{8 + 768}{256 - 8}$

Add/Subtract similar terms

$\sf \dfrac{776}{248}$

Simplify following, in improper fraction

$\sf \dfrac{97}{31}$

In mixed fraction, answer:

$\sf 3\dfrac{4}{31}$

Vsevolod [243]2 years ago

4 0

Answer:

$3 \frac{4}{31}$

Step-by-step explanation:

$\frac{2(4) + 3(16) {}^{2} }{4(8) {}^{2} - 2(4) }$

$\frac{776}{248}$

$3 \frac{4}{31}$

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3 years ago

P(t) = 8 - 2(squareroot)2t + 4

BartSMP [9]

Step-by-step explanation:

P(t) = 8 − 2√(2t + 4)

The x-intercept(s) is where t = 0.

P(0) = 8 − 2√(0 + 4)

P(0) = 8 − 4

P(0) = 4

The y-intercept(s) is where P = 0.

0 = 8 − 2√(2t + 4)

2√(2t + 4) = 8

√(2t + 4) = 4

2t + 4 = 16

2t = 12

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So the intercepts are at (0, 4) and (6, 0).

The easiest way to tell if the function is increasing or decreasing is to graph it. Otherwise, we have to either use calculus to find the derivative, or assume the function is constantly increasing/decreasing and use limits.

lim(t→∞) P(t) = -∞

The function is decreasing.

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3 years ago

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Step-by-step explanation:

To find the slope of a line with given points, you divide the difference of y-coordinates by the difference of the x-coordinates of those same 2 points.

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Then, you put the answer of the y's in the numerator, and x's in the denominator, giving you 5/-12, but you can't have a negative in the denominator, moving it up to become -5/12 as the slope.

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