The present dimensions are : length = 12 feet
width = 9 feet
Area = 12* 9 = 108 feet squared
If the dimensions are increased by x feet the dimensions are :
length = 12 + x
width = 9+ x
Area = ( 12+x)( 9+x)
new area = initial area * 2
( 12+ x)( 9+ x) = 2 * 108
12*9 + 12x + 9x + xx = 216
108 + 21 x + x^2 = 216
x^2+ 21x = 216-108
x^2 + 21x = 108
x^2 + 21x -108 = 0
let us plug a= 1 b= 21 c= -108 in quadratic formula
x= [-21 + / - ( 21^2 - 4* 1 * -108 )^(1/2 ]/ 2* 1
x= 4.27
Answer :
Both sides are increased by 4.27 feet .
Answer:
First Choice: As the number of hours spent on homework increases, the tests scores increase.
Step-by-step explanation:
The definition of a positive correlation is a relationship between two given variables, in which both variables are moving in the same direction. This can mean when one variable increases and the other variable increases, too, or one variable decreases and the other decreases as well.
The first choice is a positive correlation because both variables are changing (increasing) in the same direction. As you spend more time on homework, you're likely to get a higher test score.
The second choice cannot be a positive correlation because only one variable is having some kind of change (increasing). The doctor visits amount remains the same, so we can call this a zero-correlation relationship because the number of apples eaten yearly doesn't affect the amount of doctor visits. An apple a day keeps the doctor a way is just a proverb, not to be taken literally.
The third choice cannot be a positive correlation because the two variables are going different directions. Even though the number of times going to bed early is increasing, the number of times waking up late decreases, which is not moving in the same direction as the other variable.
The fourth choice cannot be a positive correlation because, similarly to the third choice, the two variables are going different directions. One variable is increasing, which is the amount of practice time. Meanwhile, the other variable is decreasing (going in the opposite direction), which is the number of games lost in a season.
Answer:
Given: f(x)=\dfrac{1}{9}(x-2)
We need to find the inverse of f(x).
Step 1: Set f(x) = y
y=\dfrac{1}{9}(x-2)
Step 2: Switch x and y
x=\dfrac{1}{9}(y-2)
Step 3: Solve for y, Isolate y
x=\dfrac{1}{9}(y-2)
Multiply by 9 both sides
9x=y-2
Add 2 both sides
9x+2=y
y=f^{-1}(x)
Hence, f^{-1}(x)=9x+2
Step-by-step explanation:
2nd one. -5 > -7 when dealing with inequalities there is usually only one correct answer unless a variable is present
Answer:
-999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
Step-by-step explanation: The way he leaps off of rooftops and flips backwards to face the camera before falling into a head first dive is just full of the exaggerated swagger of a Black teen.