Answer:
Step-by-step explanation:
x + 6 = 0
x = -6
-x + 1 = 0
-x = -1
x = 1
x = -6, 1
Year New flowers
1 1200
2 300
3 75
There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year
Initially there are 1200 flowers and start decreasing by 
So first term is 1200 and common ratio is
.
Its a geometric sequence so summation becomes
i =1∑ ∞ 1200(
Now we find the sum
We use sum formula

Where a is the first term , a= 1200
r is the common ratio , r= 1/4


Sum = 1600 wildflowers
Given:


To find:
The exact value of cos(u-v) if both angles are in quadrant 3.
Solution:
In 3rd quadrant, cos and sin both trigonometric ratios are negative.
We have,


Now,




On further simplification, we get


Similarly,






Now,




Therefore, the value of cos (u-v) is 0.1872.
Answer:
b. 2.28%.
Step-by-step explanation:
Mean temperatue (μ) = 1000°F
Standard Deviation (σ) = 50
°F
For any temperature value, X, the z-score is given by:
For X= 900°F

A z-score of -2.0 corresponds to the 2.28-th percentile of a normal distribution. Therefore, the probability that X<900 is:

I'd use the point-slope form, because it'd require the least amount of work.
The slope of this line is 3/1, or just 3.
Thus, y = mx + b becomes 3 = 3(1) + b, and b = 0. Thus, we get y = 3x (ans.)