Answer:
2/9
Step-by-step explanation:
if u multiply 2/3 × 1/3 u get 2/9
1 + 2 + 3 + 4 + 5 + 95 + 96 + 97 + 98 + 99. = 500
Answer:
x > 0, if not 4/x < 0
0 < 4/x < 6/7
0 < 28/x < 6
0 < 28 < 6x
0 < 4 2/3 < x
Step-by-step explanation:
Answer:
D. 150 feet
Step-by-step explanation:
The formula for the area of a rectangle is: area = lw, where l = length and w = width. In this case, the length is defined as '90 feet more than twice the width' or l = 2w + 90. If we put this expression in for the value of 'l' in our formula for area we get:
area = w(2w +90), distribute: area = 2w² + 90w = 58500
Subtracting 58500 from both sides, we get the following polynomial:
2w² + 90w - 58500
We can divide all the terms by '2' to simplify:
w² + 45w - 29250
Next, we look for the two factors of 29,250 that will add up to 45, which is -150 and +190 to factor our polynomial:
(w - 150)(w + 190) = 0
Setting both equations equal to 0 and solving for w:
w - 150 = 0 or w = 150
w + 190 = 0 or w = -190
Since our with can not be negative, then the correct width of the field is 150 ft.
Answer:
(0 , 1), (4, 9).
Step-by-step explanation:
y = x2 – 2x+1
y = 2x+1
Substitute y = 2x + 1 into the first equation.
2x + 1 = x^2 - 2x + 1
x^2 - 2x - 2x = 0
x^2 - 4x = 0
x(x - 4) = 0
x = 0, 4.
When x = 0, y = 1.
When x = 4, y = 8 + 1 = 9.
