(7,1) is the correct answer
Given the slope, m = -2/3, and the x-intercept, (3,0):
Use these values and plug into the slope-intercept form to solve for the y-intercept, b:
y = mx + b
0 = -2/3(3) + b
0 = -2 + b
Add 2 to both sides to isolate b:
0 + 2 = -2 + 2 + b
2 = b
Now that we have our slope, m = -2/3, and the y-intercept, 2
The linear equation in slope-intercept form is:
y = -2/3x + 2
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As the slope is -1, so any line that has the same slope is parallel.
<u>Solution:</u>
Given points (2, -7) and (4, -9) find the slope, m:
Any line that has the same slope is parallel.
Answer:
The expression provided by the area (square meters) is given by: .
Step-by-step explanation:
The area of the algae colony is a function of the radius r (meters), so .
The radius of the circle formed by the algae colony is a function of time t (in minutes), so . So,
[Substituting the expression for radius]
Then the expression provided by the area (square meters) is given by: .
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) is
f'(x) = lim(h tends to 0 )
= lim ( h to 0 )
= lim ( h to 0 )
= lim( h to 0 )
= lim( h to 0 )
= lim ( h to 0 ) ← cancel h on numerator/ denominator
= lim ( h to 0 ) 4(2x + h) ← let h go to zero
f'(x) = 8x