Answer:
m = 0.667
Step-by-step explanation:
Calculate and show the solution for the x-intercept and y-intercept of 4x - 6y = 14.
Calculate the graph plot coordinates for 4x - 6y = 14
Solve 4x - 6y = 14 for x and also for y.
Calculate and show the solution for the slope of 4x - 6y = 14
Find x-intercept
The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.
4x - 6y = 14
4x - 6(0) = 14
x1 = 3.5 y1 = 0
Find y-intercept
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
4x - 6y = 14
4(0) - 6y = 14
y2 = -2.333 x2 = 0
Get Graph Plot Coordinates
Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).
Thus, we use the x-intercept and y-intercept results above to get the graph plots for 4x - 6y = 14 as follows:
(x1,y1) and (x2,y2)
(3.5,0) and (0,-2.333)
Find slope
The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 4x - 6y = 14
m = (y2 - y1)/(x2 - x1)
m = (-2.333 - 0)/(0 - 3.5)
m = 0.667
hope this is correct! c:
The Prime Factorization of 760 is 19·5·2·2·2
Because those are the prime number factors of 760
78.8 rounded to the nearest tenths is 78.8
We can not round it to the tenths because it already is rounded to the tenths.
Answer:
= 270 ⇒ Last answer
Step-by-step explanation:
* If f(x) = 7 + 4x
* If g(x) = 
* We want to find 
- Lets find at first 
∵ f(x) = 7 + 4x
∵ g(x) = 
∴ 
- Lets divide the numerator by the denominator
∵ The numerator is 7 + 4x
∵ The denominator is 
∴ (7 + 4x) ÷ 
- Lets reverse the division sign to multiplication sign and reciprocal
the fraction after the division sign
∴ (7 + 4x) × 
∴
= 2x(7 + 4x)
∴
= 14x + 8x²
- Now substitute x by 5
∴
= 14(5) + 8(5)² = 70 + 200 = 270
∴
= 270