Answer:
The expression simplifies to 
.
Step-by-step explanation:
The expression
can be rearranged and written as
In this form the 
terms in the numerator and in the denominator cancel to give
The 
are present both in the numerator and in the denominator, so they also cancel, and the fraction 
simplifies to 
, so finally our expression becomes:
Which is our answer:)
Answer:
D) 0 = 2(x + 5)(x + 3)
Step-by-step explanation:
Which of the following quadratic equations has no solution?
We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.
A) 0 = −2(x − 5)2 + 3
0 = -2(x - 5) × 5
0 = (-2x + 10) × 5
0 = -10x + 50
10x = 50
x = 50/10
x = 5
Option A has a solution of 5
B) 0 = −2(x − 5)(x + 3)
Take each of the factors and equate them to zero
-2 = 0
= 0
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Option B has a solution by one of its factors as a positive value of 5
C) 0 = 2(x − 5)2 + 3
0 = 2(x - 5) × 5
0 = (2x -10) × 5
0 = 10x -50
-10x = -50
x = -50/-10
x = 5
Option C has a solution of 5
D) 0 = 2(x + 5)(x + 3)
Take each of the factors and equate to zero
0 = 2
= 0
x + 5 = 0
x = -5
x + 3 = 0
x = -3
For option D, all the values of x are 0, or negative values of -5 and -3.
Therefore the Quadratic Equation for option D has no solution.
Answer: 12/10 and 24/20
Explanation if you simplify these fractions it’s becomes 6/5
Answer:
A.
Step-by-step explanation:
A benchmark is a halfway point between two set points. Typically, the best way to find a benchmark is to make a number line with both of the points that you need to find the benchmark between, then you basically just find the halfway mark.
I hope this helps. If you need a further explanation let me know :)
