Answer: -1
Step-by-step explanation:
Given two points (x1,y1) and (x2,y2), the slope of the line = (y2-y1)/(x2-x1).
We can let (x1,y1) be (-2,6) and (x2,y2) be (9,-5).
Therefore, the slope = (-5-6)/(9-(-2) = -11/11 = -1
Answer:
6) 40°
7) 65°
8) 65°
Step-by-step explanation:
6) Total angle in a triangle is 180
180-70-70 = 40
7) y + 55 + 60 = 180
y = 65
8) 50 + n + n = 180
50 + 2n = 180
2n = 180 - 50
2n = 130
n = 130/2 = 65
Answer:
4+ 4w
Step-by-step explanation:
The correct statements regarding the exponential function
- The function is positive on its entire domain.
- The domain is x ≥ 0 to represent the number of years after the bedroom furniture was purchased.
- The y-intercept (0, 1000) represents the initial cost of the bedroom furniture.
<h3>What is an exponential function?</h3>
An exponential function is modeled by:
In which:
For this problem, we have that when x = 0, y = 1000, hence the y-intercept is of (0,a) = (0,1000), and:
When x = 2, y = 722.5, hence we use it to find b, as follows:
1000b² = 722.5
b² = 0.7225
b = sqrt(0.7225)
b = 0.85.
Hence the equation is:
The <u>asymptote is at y = 0</u>, hence the function is positive in the entire domain, and the and the domain is x ≥ 0 to represent the number of years after the bedroom furniture was purchased, as in these problems time is non-negative.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
The percentage decrease is 7%
Step-by-step explanation:
To find the percent decrease, first find the difference in the two costs.
$210,000 - $195,300 = $14,700
Now divide that number by the original cost.
$14,700/$210,000 = 7%