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1 year ago

Precalc help needed, find g ° f!

Mathematics

1 answer:

Nezavi [6.7K]1 year ago

8 0

Answer:

g o f = -[f(x)]² + 3 = -(|x|)² + 3 = -x² + 3 = g(x)

Step-by-step explanation:

g o f = g [ f(x) ]

This means replace the x of g(x) with f(x):

g o f = -[f(x)]² + 3 = -(|x|)² + 3

As x² ≥ 0 for any value of x (whether it be positive or negative), then -(|x|)² + 3 = -x² + 3 = g(x)

So g o f = g(x)

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A rectangle has dimensions 3x-1 and x+6. Write an expression for the area of the rectangle as a polynomial in standard form

WITCHER [35]

Answer:

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You can use Completion of the Square on the trinomial product to put this trinomial into standard form. You would want this form to be like (x-h)2 +k.

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2 years ago

Find the slope of the line that passes through (10,3) and (6,2)

8_murik_8 [283]

Answer:

.25

Step-by-step explanation:

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2 years ago

Find the 61st term of -12, -28, -44,

Citrus2011 [14]

Answer:

$a_{61}=-972$

Step-by-step explanation:

<u>Arithmetic Sequences</u>

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

$a_n=a_1+(n-1)r$

Where

an = nth term

a1 = first term

r = common difference

n = number of the term

We are given the first terms of a sequence:

-12, -28, -44,...

Find the common difference by subtracting consecutive terms:

r = -28 - (-12) = -16

r = -44 - (-28) = -16

The first term is a1 = -12. Now we calculate the term n=61:

$a_{61}=-12+(61-1)(-16)$

$a_{61}=-12-60*16=-12-960$

$\mathbf{a_{61}=-972}$

6 0

2 years ago

Please help me ASAP!!!<br><br> See pic attached

hram777 [196]

Answer:a*b=b*a

hence verified

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2 years ago

It takes a wheel 200 feet to complete 12 revolutions. Find the length of an arc of the wheel to the nearest hundredth created by

mr_godi [17]

Answer:

2.65 feet

Step-by-step explanation:

Each revolution corresponds to a central angle of 2π radians, so 12 revolutions represent an arc of 24π radians. That means the arc length of 1 radian is ...

(1 rad)(200 ft)/(24π rad) ≈ 2.65 ft

The length of the arc with a central angle of 1 rad is about 2.65 feet.

5 0

3 years ago