Answer:
x = 19/2 and 1/2
Step-by-step explanation:
General form of a quadratic equation is expressed as:
ax²+bx+c = 0... (1)
The quadratic formula used to find the solution to the equation is given as:
x = -b±√b²-4ac/2a
Given the quadratic trinomial: x²−10x + 4.75... (2)
a) To get a, b and c, we will compare the given equation (2) to the general equation (1)
Based on the comparison,
a = 1, b = -10 and c = 4.75
b) We will substitute this values of a, b and c into the quadratic formula to have;
x = -(-10)±√(-10)²-4(1)(4.75)/2(1)
x = 10±√100-19/2
x = 10±√81/2
x = (10±9)/2
x = (10+9)/2 and (10-9)/2
x = 19/2 and 1/2
The answer to the equation are 19/2 and 1/2
Answer:
$839.95
Step-by-step explanation:
The dining set costs 785.
The sale tax is 7%
This means that the tax costs 7% of 785.
Sales tax: 785*0.07=54.95
Add to original price to find the total price.
54.95+785=839.95
The cost to purchase the dining set is $839.95
3/4x+5/6=5x-125/3
3/4x+5/6-5/6=5x-125/3-5/6
4/3x=5x-85/2
4/3x-5x=5x-5x-85/2
-17/4x=-85/2
(-4*-17/4x)=(-85/2*-4)
17x=170
x=170/17
x=10
