Let x,y be the two numbers.
Given that one number is 5 greater than another.
Let x be the smaller number ans y be the greater number.
That is y=x+5. Let this be the first equation.
And also given that product of the two numbers is 84.
That is x*y = 84, let us plugin y=x+5 here.
x*(x+5) = 84
x^2 + 5x -84 = 0.
x^2+12x-7x-84 = 0
x(x+12)-7(x+12) =0
(x-7)(x+12)=0
That is x= 7 or -12.
If x=7, y= 7+5=12.
If x=-12, y= -12+5 = -7.
Hence two positive numbers corresponding to given conditions are 7,12.
And two negative numbers corresponding to given conditions are -12,-7.
They compare because there’s different problems to questions and different functions and some functions can match... your welcome:)
Y = 9/2x is in slope intercept form (y = mx+b) where m represents the slope and b represents the y-intercept.
In this case, 9/2 is the slope.
Question 4:
OOOOOHHH a breakthrough! I was confused when I read this question but now I get it!
Okay when dividing this equation I would do this
5^4
25
Since 25 is 5 x 5 I would mark it as 5^2, and then I can subtract!
5^4
5^2 =
5^2
If you do it like this then it would be the first choice.