use desmos graphing calculator
1980mg(g/1000mg)=1.98g
2g-1.98g=0.02g or 20mg is the difference between the two weights.
Answer: 120.
Step-by-step explanation: $30 divided by $0.25
The equation of the normal line is parallel to x - 3y = 5
3y = x - 5
y = 1/3x - 5/3
The normal line has a slope of 1/3 and the slope of the tangent line is -3
Let the point at which the normal line passes the parabola be (x1, y1), then
f'(x1) = 2x - 5 = -3
2x = -3 + 5 = 2
x = 2/2 = 1
y = (1)^2 - 5(1) + 4 = 1 - 5 + 4 = 0
Therefore, the normal line passes through point (1, 0) and has a slope of 1/3.
Therefore, required equation is y = 1/3(x - 1)
y = 1/3x - 1/3
Answer: the smaller income is $13,000
Explanation:
1. Use the following equations to represent the income(s)
x+y=28,000, x=y+2000
2. Substitute the second equation into the first equation to get:
(y+2000)+y=28,000
3. Simplify the equation above to get:
y=13,000
**Optional: To find the other income, substitute y=13,000 into x=y+2000
This will give you x=15,000
13,000 is smaller so that is the answer.
If this helpful please let me know by marking my work brainiest!! If you have any questions at all, leave a message in the comments below!
