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2 years ago

Evaluate f(-3) for f(x) = 2^x a. 1/8 b. -8 c. 8 d. -6

Mathematics

1 answer:

pickupchik [31]2 years ago

6 0

Answer:

Step-by-step explanation:

f(-3) = 2^-3

to get rid of a negative in an exponent, move the whole thing to the denominator.

1/(2^3)

2^3 = 2×2×2

1/(2×2×2)

1/8

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2 years ago

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3 years ago

Joshua finds the perimeter of the following composite figure composed of a square and right triangle so that a braid may be cut

Bumek [7]

The perimeter of a shape is the sum of its side lengths.

<em>Joshua miscalculated the third length of the triangle</em>

First, we calculate the third length (x) of the triangle.

Because the triangle is right-angled, we can make use of Pythagoras.

So we have:

$x^2 = 7^2 + 7^2$

$x^2 = 2(7^2)$

Take square roots of both sides

$x = \sqrt{2(7^2)$

$x = 7\sqrt{2$

The other shape in the figure is a square.

So, the perimeter (P) is

$P = 7 + x + x + x + 7$ ---- i.e. the sum of the visible lengths

So, we have:

$P = 7 + 7\sqrt2 + 7\sqrt2 + 7\sqrt2+ 7$

Evaluate like terms:

$P = 14 + 21\sqrt2$

Hence, Joshua's error is that:

<em>He miscalculated the third length of the triangle</em>