Answer:
yes
Step-by-step explanation:
f(x) = 6x² - 9x - 6 = 2x² - 3x - 2
= (x + 0.5)(2x - 4)
= [2x² - 4x] + [0.5(2x) + 0.5(-4)]
= 2x² - 4x + 0.5(2x) + 0.5(-4)
= 2x² - 4x + 1x + (-2)
= 2x² - 3x - 2
Answer:
The change in value is 19,000 altogether and 1900/year
Step-by-step explanation:
Change in value:
initial value - final value
= $26,000 - $7000
= $19,000
Change in value/year:
change in value/time
= $19,000/10
= $1900/year
Answer:
Using trigonometric ratio:
From the given statement:
and sin < 0
⇒ lies in the 3rd quadrant.
then;
Using trigonometry identities:
Substitute the given values we have;
Since, sin < 0
⇒
now, find :
Substitute the given values we have;
Therefore, the exact value of:
(a)
(b)
Answer:
4/15
Step-by-step explanation:
total: 16 + 20 + 24 = 60
16 are blue
then:
the fraction of blue marbles:
16/60 = 4/15
The unknown length is the hypotenuse of the right angle formed when connecting the top of the second floor and the distance from the wall from which the belt is installed. Using the trigonometric function, sine, the equation becomes,
sin 60° = 12 ft / h
The value of h from the equation is 13.86 ft. Thus, the answer is 13.86 ft.