Answer:
The equation is a conditional.
y = 7.5
Step-by-step explanation:
y - 11 + 3y = 6y + 4
4y - 11 = 6y + 4
4y - 4y - 11 = 6y - 4y + 4
- 11 = 2y + 4
- 11 - 4 = 2y + 4 - 4
2y = - 15
2y ÷ 2 = - 15 ÷ 2
y = - 7.5
Answer: -2x + 12
Step-by-step explanation:
2A + B = 2(-2x + 8) + (2x - 4) = -4x + 16 + 2x - 4 = -2x + 12
SohcahtoaMy algebra teacher got us all to remember that word because...
Soh -
Sin =
Opposite /
Hypotenus
Cah -
Cos =
Adjacent /
Hypotenus
Toa -
Tan =
Opposite /
Adjacent
Sin, Cos, and Tan are what you can use to find missing triangle sides if you know at least one other angle besides the 90 degree angle.
Answer:
Exponential
Step-by-step explanation:
<em>Starter:</em>
According to the title:
"Every day, half a bacteria population dies."
Exponential: y = ab^x ( b > 0 , b ≠ 1)
So the answer is C.
<em>Calculations:</em>
An exponential model is of the form y = a • b^t.
If you start with population of 500 million bacteria
t = 0
so 500 million = a • b^0 = a
Since every day half the population dies then in 1 day population will be 250 million
so a = 500 million, y = 250 million and t = 1
250 million = 500 million • b^1
b = 0.5
Therefore your equation would be
y = 500 million (or whatever the pop) • 0.5^t
Where t = number of days
This could also be written in exponential form ( e = 2.73)
Initial: 200 feet = opp. side
Angle = 17.31, adj. Side = a
So tan (17.31) = opp. Side / adj. Side
tan (17.31) = 200 / a
--> a = 200/tan17.31 = 641.73
When stopped: adj. Still = a
Opp. Side still = 200, angle = 46.41
tan46.41 = 200 / a
--> a = 200/tan46.41 = 190.39
Now subtract those two distances to get the distance traveled from initial to when it stopped:
641.73 - 190.39 = 451.34 feet
