Answer:The solutions of the equation are:4/3 and 5/8
Explanation:To get the solution of the equation, we can either solve it algebraically or graphically.
1- algebraic solution:The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
24x² - 47x + 20 = 0
By comparison, we can find that:
a = 24
b = -47
c = 20
Now, to get the roots, we will use the quadratic equation shown in the attached image.
Substituting in the equation, we would find that:
either x =

or x =
2- graphical solution:To get the solution means to get the values of the x-intercepts.
Graphing the function (see attached image), we would find that the solutions are:
0.625 which is equivalent to 5/8
and 1.3333 which is equivalent to 4/3
Hope this helps :)
Answer:
38.5 = x
Step-by-step explanation:
9/ (x+2) = 2/9
Using cross products
9*9= 2(x+2)
Distribute
81 = 2x+4
Subtract 4 from each side
81-4 = 2x+4-4
77= 2x
Divide each side by 2
77/2 = 2x/2
38.5 = x
5.5 divided by 3 = 1.83 yards
Answer:
Increase in the length of one side = 3.8 ft
Step-by-step explanation:
Yossi has garage whose area is 280 ft²
After rebuilt their is increment in area by 50%
New Area = 280 × 150% = 420 ft²
Also we know that Area of Square = (Length) × (Length)
⇒ Length of Newly built garage = √420 = 20.5 ft
and Length of Originally garage = √280 = 16.7 ft
⇒ Increase in the length of one side = 20.5 - 16.7 = 3.8 ft