Answer:
The equation of the sraight line 3x- y+ 6 =0
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the gradient of the function
|gradf| = 3 and point (-1,3)
Given that the slope of the line
m = 3
The equation of the straight line passing through the point(-1,3) and slope m =3
y-3 = 3(x-(-1))
y-3 = 3x+3
3x +3-y+3=0
3x- y+ 6 =0
<u><em>Final answer:-</em></u>
The equation of the sraight line 3x- y+ 6 =0
<u><em></em></u>
The expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
<h3>Which describes all of the values for which the graph is positive and decreasing?</h3>
The equation of the function is given as:
f(x) = (x - 3)(x + 1)
When the value of the graph is positive, we have:
f(x) > 0
So, the function becomes
(x - 3)(x + 1) > 0
Split the above inequality
x - 3 > 0 and x + 1 > 0
Solve for x in the inequalities
x > 3 and x > -1
Hence, the expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
Read more about intervals at:
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Answer: 8
<u>Step-by-step explanation:</u>
60 dowels - each 6 inches (1/2 foot) in length = 30 feet of wood
30 feet of wood ÷ 4 foot boards = 7.5 boards
Since he can't buy half of a board, you must round up to 8 boards.
Answer:
65
Step-by-step explanation:
13(13-3)/2 = 65 diagonals.
Answer:
R = 3.813% per year.
Step-by-step explanation:
- A = Accrued amount (principal + interest)
- r = Annual nominal interest rate as a decimal
- R = Annual nominal interest rate as a percent
- n = number of compounding periods per unit of time
- t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years.
