Answer:
The equation of line having slope m and y-intercept b is
y = m x + b
The other two equations of line in the same family having intercepts p and q are,keeping the slope same i.e m , described in the question are
→ y= m x + p
→ y = m x + q
As both the equation have same slope i.e m , so lines will be parallel, but their Y - intercept are different i.e distance from the origin where it cuts the y-axis are different i.e at a distance of p and q from origin.
Answer:
B, C
Step-by-step explanation:
Consider all options:
A. The graph of the function is vertically shrunk by a factor
the graph of the function
so the domain and the range of both functions are the same. This option is false.
B. The graph of the function is vertically shrunk by a factor
the graph of the function
so the domain and the range of both functions are the same. This option is true.
C. The graph of the function is translated 2 units to the right and vertically shrunk by a factor
the graph of the function
so their graphs are similar except the first graph is shifted right and shrunk vertically by a factor of
. This option is true.
D. The function has the domain and the range all non-negative real values. The function
has the domain and the range all real values. So this option is false.
Answer:
$45.22
Step-by-step explanation:
The number of miles per gallon can be represented by the ratio:
Since we know the unit rate of 26 miles per gallon of gas, we can set up a proportion, or equivalent ratios, to find the number of gallons needed for 420 miles:
, where 'x' is the number of gallons of gas
cross-multiply and divide: 26x = 420 or x ≈ 16.15 gallons
If gas is $2.80 per gallon, take the total number of gallons needed and multiply by $2.80:
16.15 x $2.80 = $45.22