Health inspector visits once a week.
Fire inspector comes every 12 days.
a) health inspector fire inspector.
day 7. day 12.
day 14. day 24.
day 21. day 36.
day 28. day 48.
day 35. day 60.
b) 12 x 7 = 84.
Both will coincide on day 84.
Answer:
No solution
Step-by-step explanation:
Given:
and 
Handle each inequality separately.
Utilizing the subtraction property of inequalities




and
Utilizing the addition property of inequalities



Thus, the solution to the combined inequality is the overlap of both solutions.
Refer to the attached image for the number line representation.
No solution
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
Answer:
The term 6x should actually be 6x²
Step-by-step-explanation:
The illustration referenced, which depicts the multiplication of the trinomial with the binomial, is provided in the image below.
To identify where Chin's multiplication went wrong and to establish the correct expression, we'll analyze each multiplication performed. Therefore, we have:
3x*x² = 3x³
3x*2x = 6x² (the mistake occurred here, as Chin recorded it as 6x in the chart)
3x*4 = 12x
2*x²=2x²
2*2x = 4x
2*4 = 8
Thus, the term 6x should indeed be corrected to 6x²