Answer:
y = x - 3
Step-by-step explanation:
4x - 5 = 7 + 4y subtracting 7 from each side
4x - 12 = 4y
then dividing every term by 4
x - 3 = y
Answer:
Step-by-step explanation:
Step 1
Calculate the slope of the dashed line
The slope between two points is computed with the formula:
We consider
(-3,1) and (0,3)
and substitute into it:
Step 2
Determine the equation of the dashed line in slope-intercept form:
The equation we established is:
---> associated problem
Substituting yields:
Step 3
Establish the inequality corresponding to the graph
Given that it is represented by a dashed line, the area to the left of this line is shaded.
Thus,
Refer to the attached diagram for enhanced understanding of the problem.
Answer:
2.5 hours
Step-by-step explanation:
Distance equals speed multiplied by time. For constant distance, time varies inversely with speed. When traveling at 60/50 = 6/5 times the original speed, the return journey takes 5/6 of the initial duration:
(5/6)(3 hours) = 2.5 hours... return trip duration
Answer:
16 years
Step-by-step explanation:
Let x represent the count of years. The suburb population increases at a rate of 5000 annually, which can be formulated as:
320000 + 5000x
The city population decreases at a rate of 14000 per year, represented as:
624000 - 14000x
The point in time when both the suburb and city populations will match can be derived from:
320000 + 5000x = 624000 - 14000x
14000x + 5000x = 624000 - 320000
19000x = 304000
x = 304000 / 19000
x = 16
In 16 years, the populations of both the suburb and the city will be equivalent
