I believe the answer would be y = –3x – 1.
Answer:
Step-by-step explanation:
Let the number be 'x'
Reciprocal = 
Cross multiply
(x² + 1) *2 = 5*x
2x² + 2 = 5x
2x² - 5x + 2 =0
Factorize the equation,
Sum = -5
Product = 4
Factors = -1 , -4
2x² - x - 4x + 2 = 0
x(2x - 1) - 2(2x - 1) = 0
(2x -1 )(x - 2) = 0
2x - 1 = 0 ; x -2 = 0
2x =1 ; x = 2
x = 1/2
Number = 2 , and its reciprocal = 1/2
Answer:
x² + 8x + 12
Step-by-step explanation:
Area of a rectangle = length × width
Original dimensions:
Width = x
Length = x + 4
James will increase both dimensions of the floor by 2 feet
New dimensions:
Width = x + 2
Length = x + 4 + 2
= x + 6
Area of the new rectangle = length × width
= (x + 2) × (x + 6)
= x² + 6x + 2x + 12
= x² + 8x + 12
Equation which represents the
new area, N, of the floor of the cage = x² + 8x + 12
To convert 1.07 to a fraction, multiply it by 100.
1.07 * 100 = 107
So the percent equivalent of 1.07 is 107%.
Just put 1.07 over 100 to turn it into a fraction.
107/100 would be the fraction equivalent.
Answer:
X² - 14x + 48= 0
Step-by-step explanation:
To find the quadratic equation well have to look for the root of the equation.
So the roots are at x= 6 and x= 8
The quadratic curve didn't pass the origin .
It intercepted the x axis at 6 and 8 and that's the roots.
So our equation is
(X-6)(x-8)= x²-8x -6x +48
X² - 14x + 48= 0
