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3 years ago

Given the definitions of f (x) and g(x) below, find the value of (gof)(-8).

Mathematics

1 answer:

aliya0001 [1]3 years ago

5 0

Answer:

(gof)(-8) = 210

Step-by-step explanation:

(gof) = (-x + 8)² - 3(-x + 8) = 2

= x² - 16x + 64 + 3x - 24 + 2

= x² - 13x + 42

(gof)(-8) = (-8)² - 13(-8) + 42

= 64 + 104 + 42

= 210

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Distribute $1000 into three parts so that one part will be three times as large as the second and the third part will be as larg

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Answer:

See below

Step-by-step explanation:

x = part 1

3x = part 2

x + 3x = part 3 summed, they equal 1000

x + 3x + x + 3x = 1000

8x = 1000

<u>x = 125 3x = 385 third part = 500 </u>

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2 years ago

7.2 divided by 42.12

pochemuha

Answer:

0.170940171

Step-by-step explanation:

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3 years ago

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What is the measure of angle b?

Natasha2012 [34]

Answer:

Step-by-step explanation:

they are vertical angles

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3 years ago

When an object is droppednbsp on a certain earth dash like planet comma on a certain earth-like planet, the distance it falls in

ANTONII [103]

Answer:

(a) $s(44) = 3.52*10^{6}ft$

(b) $v(44) = 10*x^{5} ft/s$

Step-by-step explanation:

$s(t) = 1818t^{2}$

(a) when t = 44sec

$s(44) = 1818(44^{2}) = 1818(1936)\\ \\s(44) = 3519648ft$

s(44) ≅ $3520000=3.52*10^{6}ft$

(b) How fast the hammer is traveling i.e. the speed of the hammer.

To find speed, we differentiate the distance s(t) with respect to time, t

$speed,v=\frac{ds(t)}{dt}=\frac{d}{dt}(1818t^{2}) \\\\v = 1818*2t^{2-1}= 1818*2t\\ \\v = 3636t$

at t = 44sec,

$v = 3636*44=159984ft/s$

$v$ ≅ $160000ft/s = 1.6*10^{5}ft/s$

(c) The hammer's acceleration can be obtained by differentiating the speed v(t) with respect to time, t

$acceleration, a = \frac{dv}{dt}=\frac{d}{dt}(3636t)\\ \\a = 3636*1= 3636\\\\a = 3636ft/s^{2}$

There's no need to substitute t = 44sec because the acceleration is independent of time.

3 0

3 years ago

Please answer this now in two minutes

Xelga [282]

Answer:

17.5

Step-by-step explanation:

The following data were obtained from the question:

Angle R = 105°

Side R = r

Side S = 15

Side T = 6

The value of r can be obtained by using cosine rule formula as shown below:

inding sides:

r² = s²+ t² – 2st cos(R)

r² = 15² + 6² – 2 × 15 × 6 × cos105°

r² = 225 + 36 – 180 × cos105°

r² = 261 + 46.587

r² = 307.587

Take the square root of both side

r = √307.587

r = 17.5

Therefore, the value of r is 17.5

7 0

3 years ago