9.0, or 9 IS a rational number.
A rational number is any number that could be expressed as a fraction. For example, the integers p/q as long as q is not equal to zero. 9.0 = 9/1; they are both natural numbers so 9.0 is rational. We can write that 10=101 .
He first term is, x2 its coefficient is 1 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -6 hope that helps
Answer:
y = (-5/2)x + 1
Step-by-step explanation:
We can see that the line intersects (0,1) and (2, -4). We use these points to find the slope: m = (-4-1)/(2-0) = -5/2. Also, the y-intercept is (0,1), so b = 1. Substituting these values into y=mx +b, we get y = (-5/2)x + 1.
I hope this helps! :)
Answer:
The area of the floor equals 229 square feet.
Step-by-step explanation:
The volume of a rectangular storage is given by the area of the floor multiplied by the height of the room. (It follows directly from the formula of a bar.) So the area of the floor is given by the volume of the rectangular storage <em>divided </em>by the height of the room. In symbols: gives . Substituting the given gives that square feet, precisely what we were asked.
Answer:
x = 1 , 7
Step-by-step explanation:
Solution:-
- The given equation is as follows:
y = x^2 - 8x + 7
- We can solve the above equation by either making factors or by using Quadratic formula.
Factor Approach:
- Using the constant "7" at the end of the quadratic equation we will determine two integer multiples such that their additions/subtraction results in "-8".
- So the only factor of "7" are:
7 x 1 = 7
-7 x -1 = 7
- We see that addition/subtraction of first (7 , 1 ) does not results in "-8", However, the sum of ( -1 , -7 ) = -1 - 7 = -8. So the correct factors are ( -1 , -7 ). So we replace "-8x" with our factors "-1x" and "-7x":
x^2 -x -7x + 7 = 0
- Take common multiples out of pair of two terms:
x*(x-1) -7*(x-1) = 0
(x-7)*(x-1) = 0
- So we equate each term in bracket with "0" and evaluate the values of x:
(x-7) = 0 , x = 7
(x-1) = 0 , x = 1
- So the solution to the quadratic equation is:
x = 1 , 7