If the zeros are -2 and 3, then the factored form would be
(x+2) and (x-3)
-2+2 = 0 and 3-3 = 0
A polynomial is written as ax^2 + bx + c
Expand (x+2) (x-3) using FOIL: Multiply each tern in one set of parenthesis by each term in the other set and then simplify by combining like terms:
x*x + x*-3 + 2*x + 2*-3
x^2 -3x + 2x -6
Polynomial in standard form:
x^2 -x -6
Standard form is another way of saying slope-intercept form. The equation you have there is in point-slope form, so we must convert this to slope-intercept form to get our final answer.
In point-slope form (y - k = m(x - h)) k is the y-value, h is the x-value, and m is the slope. All we must do is change your equation's form into standard form, or slope-intercept form which looks like this: (y = mx + b), where m is the slope and b is the y-intercept.
Convert this equation y + 1 = 2/3(x + 4) into standard/slope-intercept form.
y + 1 = 2/3(x + 4)
y + 1 = 2/3x + 2.666 Here we multiplied 2/3 by x and 4 since x + 4 is in parenthesis next to 2/3.
y + 1 - 1 = 2/3x + 2 2/3 - 1 Now we want to get y by itself so the form will look like y = mx + b, so we subtract the 1 from both sides of the equation. (2 2/3 is a mixed fraction that is equal to 2/3*4.)
y = 2/3x + 1 2/3
This is our final answer since it is in the standard, or slope-intercept form. Hope this made sense! If you have any questions please ask.
Explanation:
It is given than Paul is older than Bill.
Let age of Bill= x years, as x is a natural number.
Then, age of Paul = (x + a) Years, where a is any natural number.
And, Fred is younger than Bill.
So, age of Fred= x - k, where k is any natural number.
So, if we arrange the ages of Fred, Bill and Paul, their ages would be
Fred < Bill < Paul
x-k < x < x+a
Hence, we can say that , Paul is eldest, and Fred is smallest member between three.
Answer:
Cholula
Step-by-step explanation:
first find the vlumes of the different pyramids:
FORMULA:
volume = (1/3) * basearea
Cholula- 157,583,664
Cheops- 91,204,000
Answer:
96
Step-by-step explanation:
First divide 360 by 2.
Then divide 180 by 5 and that is how many 5 pound bags he will use.
Then divide 180 again by 3 and that is how many 3 pound bags he will use.