Check the picture below, let's use those two points on the line to get its slope.
Answer:
The answer to your question is: ( - 24 / 29, ∞ )
Step-by-step explanation:
6x + 3 < 8 (8x + 6) + 3
6x + 3 < 64x + 48 + 3
6x + 3 < 64x + 51
6x - 64x < 51 - 3
- 58 x < 48
x > - 48 / 58
x > - 24 / 29
( - 24 / 29, ∞ )
Area would be 15 if base is 6m and height is 5m
So 6*4=24
5*4=20
Area would be 240 for the 2nd answer
240/15=16
The area is 16x bigger
Step-by-step explanation:
x = number of multiple choice questions
y = number of short response questions
x + y = 15
5x + 10y = 100
=>
x + 2y = 20
let's subtract the first from the second equation :
x + 2y = 20
- x + y = 15
--------------------
0 y = 5
x + y = 15
x + 5 = 15
x = 10
to graph you need to consider both equations as linear functions. and you need to transform them into e.g. a slope intercept form : y = ax + b
a is the slope, b is the y- intercept.
x + y = 15
transforms to
y = -x + 15
this line goes e.g. through the points (0, 15) and (1, 14).
and
x + 2y = 20
transforms to
2y = -x + 20
y = -x/2 + 10
this line goes e.g through (0, 10) and (2, 9).
the crossing point of both lines is the solution and should therefore be the point (10, 5) as calculated above.
