What we have been given here are two points.
f(3) = -4 is the same as (3, -4)
f(2) = 6 is the same as (2, 6)
We can then use these two points to find the equation of a line.
Step 1: Find the slope
Slope Formula: (y2 - y1) / (x2 - x1)
Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10
Step 2: Find the y-intercept
To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.
Slope-Intercept Form: y = mx + b
Point = (2, 6)
6 = 2(-10) + b
6 = -20 + b
b = 26
Step 3: Create the equation of the line
Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.
y = -10x + 26
Answer: y = -10x + 26
Hope this helps!
The value of Jamey's boat after the first year of purchase is <u>$54,591.47</u>.
<h3>What is a reduction in value?</h3>
The change in the value of the new boat can be described as a reduction in value, which is akin to the depreciation of the initial value.
The reduction means that the value of the boat fell after the first year of use.
The reduction or change in value and the new value after the first year can be computed as follows:
<h3>Data and Calculations:</h3>
Purchase price = $61,014
Change in value after first year = -2/19
Change in value (dollars) = $6,422.53 ($61,014 x 2/19)
Value after the first year = $54,591.47 ($61,014 - $6,422.53)
Thus, the value of Jamey's boat after the first year of purchase is <u>$54,591.47</u>.
Learn more about reduction in the value of an asset at brainly.com/question/25806993
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Answer:
595.82 cubic feet
Step-by-step explanation:
The formula for a cylinder is pi times radius squared times height. First, you take the diameter and divide it by two to get 4.25. Now do 4.25 times 4.25 and get 18.0625.
Now multiply 18.0625 by 10.5 to get 189.65625.
Now multiply that by pi (3.14) to get 595.82 (Rounded to the nearest hundreth)
143 is composite. To be prime it has to have only 2 divisors i.e it's self and one but since it has 4 divisors ( 143, 1, 11 and 13) it is composite.
Answer:
Ricardo bought it for $98.00
Sandy bought it for $81.66 [5/6×98]
Jennifer bought it for $48.99. [ 3/5×81.66]
