Answer/Step-by-step explanation:
✍️Slope of the line using two points, (2, 2) and (6, 10),
✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).
Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.
2 = (2)(2) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
Substitute m = 2 and b = -2 in y = mx + b.
✅The equation would be:
✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.
Add 2 to both sides
Divide both sides by 2
a = 5
✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.
Answer:
124.8 is 26% of 480.
Step-by-step explanation:
required percentage is :
- 26/100 × 480
- 13 / 50 × 480
- 13 / 5 × 48
- 124.8
<em>i</em><em> </em><em>hope</em><em> </em><em>it</em><em> </em><em>helped</em><em>.</em><em>.</em><em>.</em>
Crabs are living and seashells are not
they both have hard shells
Given:
The exponential function is:
To find:
The percentage rate of increase or decrease.
Solution:
The general exponential function is:
...(i)
Where, a is the initial value, |r| is the growth rate in decimals if r>0 and |r| is the decay rate in decimal if r<0.
The exponential function is:
It can be written as:
...(ii)
On comparing (i) and (ii), we get
Since r is negative, therefore the given function is a decreasing or decay function.
Now,
So, the rate of decrease is 0.06. Multiply this number by 100 to get the percentage.
Therefore, the rate of decrease is 6%.
