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2 years ago

State six ordered pairs for this function. f(x)=4^x

Mathematics

1 answer:

murzikaleks [220]2 years ago

6 0

Answer:

Step-by-step explanation:

x y = 4^x (x, y)

-2 1/16 (-2, 1/16)

-1 1/4 (-1, 1/4)

0 1 (0, 1)

1 4 1, 4

3 64 3, 64

5 1024 (5, 1024)

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Factor the expression x^4 -1 using the polynomial identify x^2-y^2)=(x-y)(x+y)

Orlov [11]

Answer:

(x - 1)(x + 1)(x² + 1)

Step-by-step explanation:

Step 1: Factor Difference of Squares

(x² - 1)(x² + 1)

Step 2: Factor Difference of Squares for non-complex binomial root

(x - 1)(x + 1)(x² + 1)

And we have our answer!

3 0

3 years ago

How do you find the parameterization of a helix?

Marina CMI [18]

Answer:

$\left\{\begin{array}{l}x=r\cos t\\ \\ y=r\sin t\\ \\z=at\end{array}\right.$

Step-by-step explanation:

A <u>helix</u> is a curve for which the tangent makes a constant angle with a fixed line. The shortest path between two points on a cylinder (one not directly above the other) is a fractional turn of a helix, as can be seen by cutting the cylinder along one of its sides, flattening it out, and noting that a straight line connecting the points becomes helical upon re-wrapping (see attached diagram for helix).

The parametrization for the helix is

$\left\{\begin{array}{l}x=r\cos t\\ \\ y=r\sin t\\ \\z=at\end{array}\right.,$

where $r$ is the radius of the helix, $a$ is the constant, and $t\in [0,2\pi )$ is the parameter

7 0

3 years ago

A miner descended 1400 feet into a mine from the mine's entrance. While in the mine, he then rose 800 feet and then descended 45

postnew [5]

The correct answer is A.-1050

7 0

3 years ago

Read 2 more answers

-2 4/5 + 1/4 equals what ?

vlada-n [284]

Hey there! :)

Since 2 4/5 is greater than 1/4, the answer is negative.

You can just subtract 2 4/5 and 1/4 and add the (-) sign

2 4/5 - 1/4

Change the fractions so they can have a common denominator: 20

2 4/5 = 2 16/20

1/4 = 5/20

2 16/20 - 5/20 = 2 11/20

Add the (-) sign → -2 11/20

Answer ⇒ -2 11/20

:)

5 0

2 years ago

At the end of her work day, Rosa leaves her office and goes directly to her bank. On the graph that shows the locations of Rosa'

ikadub [295]

Find the distance between the point of bank and the point of office.

$\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}$
$\sqrt{(-4 - (-6)^2 + (4 - (-3)^2}$
$\sqrt{(2)^2 + (7)^2}$
$\sqrt{4 + 49}$
$\sqrt{53}$

The distance she travels is approximately 7.3 km.

Hope this helps :)

7 0

3 years ago