Answer:
slope of the line is -0.5
y-intercept is 13
Explanation:
The general formula of the linear equation is:
y = mx + c
where m is the slope and c is the y-intercept
1- getting the slope:
We are given the two points:
(6,10) representing (x1 , y1)
(12,7) representing (x2 , y2)
The slope of the line will be calculated as follows:
m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5
The equation of the line now becomes:
y = -0.5x + c
2- getting the value of the y-intercept:
To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:
y = -0.5x + c
10 = -0.5(6) + c
10 = -3 + c
c = 13
Based on the above, the equation of the line would be:
y = -0.5x + 13
Hope this helps :)
Answer:
12.5
Step-by-step explanation:
AO = 1/2 AC = 12.5
Answer: 10 bags that weigh 2 lb.
5 bags that weigh 4 lb.
2.5 bags that weigh 8 lb.
Hope this helps.
Step-by-step explanation:
Answer:
840
Step-by-step explanation:
Lets split the shape in 2 shapes which gives us 2 rectangular prisms
1st shape is the one stcking upward: 12*5*6=360
2nd shape: (we must subtract 5 from 15 because we used that for the other shape and hat wouldn't give us the correct answer) 10*8*6=480
480+360=
840
Answer:
- The domain of f is x > 0.
- The range of f is all real numbers.
and
- The domain of f is the same as the range of the inverse function.
- The range of f is the same as the domain of the inverse function.
Step-by-step explanation:
All log functions without any additional terms added to it outside the operation have domain x>0 and all real number range.
When the inverse is found, (x,y) are switched to (y,x). This measn the range becomes the domain the domain becomes the range.