Answer:
The
3
mile cab ride includes a basic charge as well as the cost for the distance covered.
For a
6
mile trip, the cost is
$
4.80
which means that :
The cost of
3
miles is
$
4.80
−
$
3.00
=
$
1.80
Therefore the cost for
1
mile is
$
1.80
÷
3
=
$
0.60
The basic fee for hiring the cab is
$
3.00
−
$
1.80
=
$
1.20
So the total cost,
c
for a trip of
d
miles will be:
c
=
0.6
d
+
1.2
Check:
If
d
=
3
c
=
0.6
(
3
)
+
1.2
=
3
If
d
=
6
c
=
0.6
(
6
)
+
1.2
=
4.8
Step-by-step explanation:
3(-3 + 5x) -1 (4 - 4x)
Simplify each term by first using the distributive property with each set of parenthesis:
3*-3 + 3*5x - 1*4 -1* -4x
Now do the multiplications:
-9 + 15x -4 + 4x
Combine like terms
15x +4x - 9 -4
19x - 13
Answer:
- The x-intercept : (-0.333, 0)
The graph of the line y = 3x +1 with the y-intercept (0, 1) and (-1/3, 0) is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation

where
Given the function

comparing with the slope-intercept form y = mx+b of the equation of a line
Thus:
The slope of the line m = 3
The y-intercept b = 1
As the y-intercept b = 1, so the point (0, 1) represents the y-intercept because the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The x-intercept can be determined by setting y = 0 and determining the corresponding value of x.
y = 3x+1
0 = 3x+1
3x = -1
dividing both sides by 3
3x/3 = -1/3
x = -1/3
x = -0.333
Thus, the x-intercept is: (-0.333, 0)
Thus:
- The x-intercept : (-0.333, 0)
The graph of the line y = 3x +1 with the y-intercept (0, 1) and (-1/3, 0) is attached below.
The answer is 8 7/11.
Anything that is in those brackets like that means the absolute value of something. Absolute value is ALWAYS positive.
Hope this helps!