First we must look at the sequence 15,9,3,-3...
You can see that the value is decreasing by 6 every term. Because the rate is drawing at a constant rate the sequence must be linear, meaning that the slope is -6.
If we look at the general function of a line in slope intercept form:
where m is the slope and b is the y intercept. The trick to find the y intercept is to go backwards, in other words what was the previous term? 15+6=21. Therefore, m=-6 and b=21 and thus,
Since we want to know the value of y even x=20 we obtain:
Answer:
f(x) = 3 if x ≤ -2
= 1 if x > -2 ⇒ attached figure
Step-by-step explanation:
* Lets explain how to answer the question
- For the part of the graph on the left side (2nd quadrant)
- There is a horizontal line start from x = -∞ and stop at x = -2
- The end of the line is black dot means x = -2 belongs to the function
- The horizontal line drawn at y = 3
∴ The equation of the horizontal line is y = 3
∴ The function represents this part of graph is y = 3 if x ≤ -2
- The other part of the graph is also horizontal line start from
x = -2 to x = ∞
- The end of the line is white dot means x = -2 does not belong
to the function
- The horizontal line drawn at y = 1
∴ The equation of the horizontal line is y = 1
∴ The function represents this part of graph is y = 1 if x > -2
* f(x) = 3 if x ≤ -2
= 1 if x > -2
- The answer is attached
Answer:
Reflection with respect to the x axis
Step-by-step explanation:
Reflection with respect to the x avis, or horizontal reflection.
Answer:
x = 4
CB = 28
Step-by-step explanation:
In triangle ABC,
AB = CB..... (given)
Therefore,
7x = 5x + 8
7x - 5x = 8
2x = 8
x = 8/2
x = 4
CB = 5x + 8 = 5*4 + 8 = 20 + 8 = 28
The square footage of the path is 47.1 ft²
The area of a circle is:
A = πr²
Where r is the radius of the circle.
Let us assume that the pool is a circle.
Given that the pool has a radius (r₁) of 7 feet and a path 1 foot wide would go round the pool.
Radius of pool and cement path (r₂) = 7 ft + 1 ft = 8 ft.
The square footage of the path = πr₂² - πr₁² = π*8² - π * 7² = 47.1 ft²
Hence The square footage of the path is 47.1 ft²
Find out more at: brainly.com/question/23328170
