Answer: (2x+5)(2x−5)
Step-by-step explanation:For me, what i like to do is to try divide the problem into two parts. For example in this problem, you would divide the 4x^2 into two 4x(since 4x+4x = 4x^2). Then 25 can be divide into into 5s (5x5=25). SInce you know that its a negative 25, you know that it has to be a negative on one of the sides. So the answer in factor form is (2x+5)(2x−5)
 
        
             
        
        
        
60/7 = (56 + 4)/7 = 56/7 + 4/7 = 8 4/7
        
             
        
        
        
If we are to write this equation in slope-intercept form, it will be in y = mx + b, where m is the slope of the line and b is the y intercept.  We need then to find the slope of the line using 2 points on the line and filling in the slope formula to find the slope.  One of the points we can use is (0, 3) which is also the y intercept.  The y-intercept is found where x = 0.  Where x = 0, y = 3.  So b = 3.  Now for the slope we will use (0,3) and (4,4):  

.  Using that m value and that b value we have the equation 

.  There you go!
 
        
        
        
Answer: y= -1x-2
Step-by-step explanation:
 the line crosses at -2 on the y axis and travels negatively up 1 over 1
 
        
             
        
        
        
The minimum speed will be calculated as follows:
Time taken from Toledo to Elkhart=(8.15-5.45)=2 1/2 hours
Distance=136 miles
thus the speed between Toledo and Elkhart= 136 miles/2.5=54.4 mph
Distance between Toledo and Chicago is 244 miles
Distance between Elkhart and Chicago=244-136=108 miles
time taken to travel between Elkhart and Chicago assuming that I left Elkhart at exactly 8:15 and reach at 10.30:
=10:30-8:15=2.25 hours
thus the speed will be:
speed=(108)/(2.25)=48 mph
Thus for us to get to Chicago by 10:30 a.m we should drive at 48 mph