Answer:
As the number is a prime number. Therefore, option 'c' is true.
Step-by-step explanation:
Let us take the number 7 and divide it by 4

We know that 
as

so the remainder is 3.      ∵ 
As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.
Thus, the number is a prime number. Therefore, option 'c' is true.
 
        
             
        
        
        
Answer: option B. it has the highest y-intercept.
Explanation:
1) point -slope equation of the line
y - y₁ = m (x - x₁)
2) Replace (x₁, y₁) with the point (5,3):
y - 5 = m (x - 3)
3) Expand using distributive property and simplify:
y - 5 = mx - 3m ⇒ y = mx + 5 - 3m
4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept
⇒ slope = m
⇒ b = 5 - 3m = y - intercept.
Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.
Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).
 
        
                    
             
        
        
        
Answer:
Option A.
Step-by-step explanation:
Area of a square is
 .... (1)
               .... (1)
where, x is side length.
The length of each side of his square plot is decreasing at the constant rate of 2 feet/year.

It is given that bob currently owns 250,000 square feet of land.
Fist find the length of each side.


Taking square root on both sides.

Differentiate with respect to t.

Substitute x=500 and  in the above equation.
 in the above equation.


Farmer bob is losing 2,000 square feet of land per year.
Therefore, the correct option is A.
 
        
             
        
        
        
Answer:
Ответ - 15.
Step-by-step explanation:
Путешественники добирались до города на разных транспортах. Чтобы найти общее время, пройденное этими людьми, если 15. Добавьте 3 к 7, а затем прибавьте к нему 5.