Answer: (X+6)(x-4)
Step-by-step explanation:
x^2-4x+6x-24 ==> x^2+2x-24
*Find two numbers that multiplied gives you -24 and add up to 2*
(6)(-4)= -24 6-4=2
Final result= (x+6)(x-4)
Answer:
Option A.
Step-by-step explanation:
Let
d -----> the number of days
C(d) -----> the total cost
we know that
The linear equation in slope intercept form is
where
m is the rate or slope of the linear function
b is the y-coordinate of the y-intercept
In this problem we have that
The slope of the linear equation is equal to the charge of $25 per day to board dogs
so
The y-intercept is the value of y when the value of x is equal to zero
In this problem the C-intercept is the total cost when the number of days (d) is equal to zero
The C-intercept is equal to the cost of the bath $12
so
substitute the values
The larger number is: 36
The smaller number is: 24
Firstly, if a number is 12 more than the other, that means that the difference between the two numbers is 12
If you divide 60 by 2, you get two 30's. Then, if you add 6 to one of the 30's and then subtract 6 to the other 30, resulting in 36 and 24, you get set of numbers which equal 60 and also have a difference of 12.
Direct variation: y=kx where k is some number thats not 0
that means if x is 2, y is 2k. if x is 1, y is k. if x is 0, y is 0.
notice: no matter what k is, when you put 0 in for x, y will always be 0. that means that a direct variation always goes through the origin, a.k.a. (0,0).
do all lines go through the origin? nah. a line is y=mx+b, where m and b are some numbers. a line is only a direct variation if b is 0. this makes sense because if b is 0, then the y-intercept is 0, so the line goes through the origin.
in conclusion, no, not all linear relationships are direct varations, but all direct variations are linear relationships.
The answer is X
Hope this helps!