+ y = -1 ⇒ y = 
- 1
To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope 
by counting up 1 and to the right 3 of the y-intercept. This gives you a second point of (3. 0). Draw a line through those two coordinates.
Answer: Plot (0, -1) and (3, 0) and draw a line through them.
***************************************************************************************
y = 4 + ⇒ y = + 4
Same as above. Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).
Answer: Plot (0, 4) and (3, 5) and draw a line through them.
***********************************************************************************
You should end up with two PARALLEL lines. Since the lines never intersect, there are no solutions to this system of equations.
Answer: No Solution
Step-by-step explanation:
oranges sell 8 for 1.84$
so,
1 unit orange =
⠀
Answer:
Step-by-step explanation:
Given the following :
Laps - - - - - - - - 5 - - - 6 - - - 7 - - - 8 - - - 9
Total time - - - 25 - - 28 - - 29 - - 30 - - 32
Using online graphing tool:
The y - axis named dependent variable represents the total time taken.
The x-axis, represents the number of laps.
The equation of the trend line attached to the plot is in the form :
y = mx + c
y = 1.6x + 17.6
Where y = total time taken
x = number of laps
m = 1.6 = gradient of the line (change in y / change in x)
C = 17.6 = intercept (whee the trndline intersects the y-axis).
Part I: sin (theta/2) = 1/2 So, theta/2 = sin inv(1/2) Part II: On the interval [0,2pi], theta/2 = 30 degrees i.e. pi/6 degrees or 150 degrees i.e. 5pi/6...
Answer:
1200 ounces
Step-by-step explanation:
How much of an alloy that is 10% copper should be mixed with 600 ounce of an alloy that is 70%copper in order to get an alloy that is 30%copper?
Let us represent
Number of ounce of 10% copper = x
Hence, our Equation =
x × 10% + 600 × 70% = (x + 600) × 30%
0.1x + 420 = (x + 600)0.3
0.1x + 420 = 0.3x + 180
Collect like terms
0.3x - 0.1x = 420 - 180
0.2x = 240
x = 240/0.2
x = 1200 ounces
