Answer:
length of a rectangle = l = 7 in
Step-by-step explanation:
Let,
width of a rectangle = w
length of a rectangle = l
Area = A = 77 in
A = w×l ------> (equation 1)
According to given condition:
w = l + 4 put in (equation 1)
equation 1 ⇒ A = (l + 4)×l
77 = (l + 4)×l
77 = l² + 4l
l² + 4l -77 = 0
l² + 11l - 7l -77 = 0
(l² + 11l) - (7l + 77) = 0
l(l + 11) - 7(l + 11) = 0
(l + 11) (l - 7) = 0
(l + 11) = 0 or (l - 7) =0
l = -11 or l =7
as length is always positive, therefore
length of a rectangle = l = 7 in
w = l + 4
w = 7 + 4
width of a rectangle = w = 11 in
For a polyonomial
P(x)=ax^n+bx^(n-1)...zx^0
when n is odd, the endpoints of the graph point in oposite directions
when n is even, the endpoints of the graph point in same direction
a is the leading term
when a is positive and:
1. n is odd, the graph goes from bottom left to top right
2. n is even, the graph goes from top left to top right
when a is negative and:
1. n is odd, the graph goes from top left to bottom right
2. n is even, the graph goes from bottom left to bottom right
xintercept is where the line crosses the x axis or when y=0
yintercept is where the line crosses the y axis or when x=0
f(x)=1x^3-11x^2+36x-36
leading term is positive and odd degree
graph goes from bottom left to top right, has 1 inflection point
yint, sub 0 for all x's
f(0)=0^3-11(0)^2+36(0)-36
yintercept is y=-36 or (0,-36)
xintercept
set function equal to zero
0=x^3-11x^2+36x-36
factor
0=(x-2)(x-3)(x-6)
x=2,3,6
xintercepts are at x=2,3,6 or (2,0), (3,0) and (6,0)
Answer:
If the graph goes like "2, 4 , 6 and -2, -4, -6" then the answers are 2, -2
Step-by-step explanation:
Just find all the points that fall on the x line (ex: (2,0))
Answer:
d. p = 2*20 + 2*10
Step-by-step explanation:
You know to find the perimeter, just add side + side + side + side.
And two pairs of sides on a rectangle are congruent, so the missing side lengths based on the width and length, will be 20 & 10.
So add 20 + 20 + 10 + 10.
To simplify this, say 2*20 and 2*10. And then add them.
So it is D
The answer is 6 whole number and 3\4 cannot be the whole number.