Find the equation of a line parallel to y'= -8x+6.
1 answer:
Answer:
The equation must include -8 as the slope
Step-by-step explanation:
Hi there!
Two key points to keep in mind:
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0).
- Parallel lines always have equal slopes
Given the equation y=-8x+6, we can identify that -8 is in the place of m in y=mx+b, making it the slope.
For a line to be parallel to y=-8x+6, it would have to have a slope of -8 as well. This is the only quality a line needs to be parallel to this given line.
I hope this helps!
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Answer:
Option C is correct.
Step-by-step explanation:
An exponential function is of the form: ....[1] where a is the initial value, x is any real number and b is the growth factor
Also, the b value (growth factor) has been replaced either by (1 + r) or by (1 - r).
Then, the growth "rate" (r) is determined as b = 1 + r.
and the decay "rate" (r) is determined as b = 1 - r
- If b> 1, then it is exponential growth function.
- if 0<b< 1. then it is exponential decay function.
Also, b = 1+ 4
Given the equation:
On comparing given equation with [1] we get;
a = 50 and b = 1.15
Since, b = 1.15 > 1
Therefore, the given equation represents the exponential growth.
(A)
Yes, this equation represents the exponential growth.
(B)
Initial value (a) = 50
(C)
Here growth factor, b = 1.15
and
1+ r = 1.15.
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