SHORT ANSWER: 84cm
Let width = w
Let length = w + 5
The area of a rectangle is found by multiplying its width by length and the problem states that the area is 84 cm2.
(Width)(Length) = 84
(w)(w + 5) = 84
w2 + 5w = 84
w2 + 5w - 84 = 0
(w + 12)(w -7) = 0
w + 12 = 0
w = -12
The width of a rectangle can't be NEGATIVE!!! Forget about that!
w - 7 = 0
w = 7
Now go back to naming the variables and replace the w with 7.
Length = w + 5 = 7 + 5 = 12
Width is 7 cm. Length is 12 cm.
Check it. Is 7 x 12 = 84? Yes.
Answer:
1
Step-by-step explanation:
LCD = 1
Equivalent Fractions with the LCD
9 = 9/1
8 = 8/1
6 = 6/1
5 = 5/1
Solution:
Rewriting input as fractions if necessary:
9/1, 8/1, 6/1, 5/1
For the denominators (1, 1, 1, 1) the least common multiple (LCM) is 1.
LCM(1, 1, 1, 1)
Therefore, the least common denominator (LCD) is 1.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
9 = 9/1 × 1/1 = 9/1
8 = 8/1 × 1/1 = 8/1
6 = 6/1 × 1/1 = 6/1
5 = 5/1 × 1/1 = 5/1
Answer:
D
As x goes towards neg inf, y goes towards inf
Answer:
$208
Step-by-step explanation:
Jack has two jobs
The first one, he works at a gas station where he earns $11/hr, he works for 8 hours in a week
= 11×8
= 88
The second one he earns $120/week for walking dogs
Therefore the total money Jack earns in a week can be calculated as follows
= 120+88
= 208
Hene jack earns $208 in a week
Let f(x)= y = x3 - 6x2 + 11x - 6
X intercept means a point on the graph which intercepts the x axis
And Y-intercept mean a point on the graph which intercepts the y axis
Meaning at the x intercept the component of y is zero because there is no y on the x axis
And at the y intercept the x component of the coordinate is zero because on the y axis there is no x value
So in finding the y intercept of the graph wherever u see x place zero there (ie x= 0 on the y axis)
So with x = 0
y = (0)3- 6(0)2 + 11(0) - 6
y = -6
Therefore the y intercept is (0,-6) in coordinate form or -6
X-intercept
y = x3 - 6x2 + 11x - 6
After factorization and simplification
y = (x-1)(x-2)(x-3)
On the x axis y= 0
0= (x-1)(x-2)(x-3)
Either x-1=0
x=1
(1,0)
Or x-2=0
x=2
(2,0)
Or x-3=0
x=3 (3,0)
Therefore the x intercepts are 1,2 and 3
And they are expressed in coordinate form as (1,0) ,(2,0) and
(3,0)
