4(2.4)(2)+43
(9.6)(2)+43
19.2+43
62.2
the value of 4n x 2 + 43, when n=2.4, is 62.2
Answer:
Parallel Line: y = 3x - 5
Perpendicular Line: y = -1/3x + 25/3
Step-by-step explanation:
The equation given is a linear equation in slope-intercept form, y = mx + b, where m = slope and b = y-intercept. With lines that are parallel to each other, they containt the same slope. So, to form an equation of a line that is parallel to the first equation, the slope = 3. Using the given point (4, 7), x = 4 and y = 7, we can use our slope-intercept form to solve for 'b':
7 = (3)(4) + b or 7 = 12 + b or b = -5
So, our equation for a parallel line would be: y = 3x - 5.
For perpendicular lines, the slope must be the opposite reciprocal of the slope from the first equation. So, if m = 3, than the slope of the perpendicular line must be - 1/3. Using the same point (4, 7) we can use our slope-intercept form to solve for 'b':
7 = (-1/3)(4) + b or 7 = -4/3 + b or b = 25/3
So, our equation for a perpendicular line would be: y = -1/3x + 25/3
Answer:
x = 32
The 9 and 4 ball are farthest from each other.
Step-by-step explanation:
Since the angles of a triangle add up to 180 degrees, you can create the equation (x-5)+(2x+1)+(3x-8)=180, which can be simplified to 6x-12=180. That means the value of x is 32. That means the 9 ball is at 27 degrees, the 4 ball is at 65 degrees, and the 5 ball is at 88 degrees. Based on the angles, the farthest distance would be between balls 9 and 4.
Answer:
0.8
Step-by-step explanation:
The annual factor will be found by dividing any year's population by the population of the year before. The points most easily read from the graph are the populations for years 0 and 1. Then the annual factor is ...
factor = (year 1 population)/(year 0 population) = 320/400
factor = 0.8
Answer:
x 1 2 6 12 25
f(x) 22 34 82 154 310
f(3)= 46 means that in the third month, the online magazine provider will charge a total of $46.00
Step-by-step explanation:
For finding the missing f(x) values:
Plug in the x-values that are given into the original equation: f(x)= 12x + 10
ex: f(1)= 12(1) + 10 => 22
For finding the missing x value, set the original equation to the given f(x) value
ex: 34 = 12x + 10 => 2
