Answer:
The difference between 2 × 6 and 2 × 5 is ...
2 × 5 = 10
And,
2 × 6 = 12
So if you subtract 12 - 10
= 2
Therefor, the difference is by 2
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Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
see the attached figure
Step-by-step explanation:
Solve each quadratic equation
Part 1) we have

Adds 32 both sides

Divide by 2 both sides

take square root both sides

therefore
The solutions are (-4,4)
Part 2) we have

Adds 100 both sides

Divide by 4 both sides

take square root both sides

therefore
The solutions are (-5,5)
Part 3) we have

Adds 55 both sides


take square root both sides

therefore
The solutions are (-8,8)
Part 4) we have

Adds 140 both sides

take square root both sides

therefore
The solutions are (-11,11)
Part 5) we have

Adds 18 both sides

Divide by 2 both sides

take square root both sides

therefore
The solutions are (-3,3)
Answer:
Option B is correct
Step-by-step explanation:
Given:
f(x) = -20x^2 +14x +12 and
g(x) = 5x - 6
We need to find f/g and state its domain.
f/g = -20x^2 +14x +12/5x - 6
Taking -2 common from numerator:
f/g = -2(10x^2 - 7x - 6) / 5x -6
Factorize 10x^2 - 7x - 6= 10x^2 - 12x +5x -6
Putting in the above equation
f/g = -2(10x^2 - 12x +5x -6)/ 5x -6
f/g = -2(2x(5x-6) + 1 (5x-6)) / 5x-6
f/g = -2 ( (2x+1)(5x-6))/5x-6
cancelling 5x-6 from numerator and denominator
f/g = -2(2x+1)
f/g = -4x -2
The domain of the function is set of all values for which the function is defined and real.
So, our function g(x) = 5x -6 and domain will be all real numbers except x = 6/5 as denominator will be zero if x=5/6 and the function will be undefined.
So, Option B is correct.
14. (2x - 1)(x + 7) = 0Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0. We can set each term equal to 0 to find the solutions:
2x - 1 = 0
2x = 1
x = 1/2
x + 7 = 0
x = -7
15. 
To solve this equation, you first need to set it equal to 0:

Next, it can be factored:

Finally, we can solve just like we did above:
x + 5 = 0
x = -5
x - 2 = 0
x = 2
16. 
First, you can simplify by dividing each side by 4:

Now, set the equation equal to 0:

Next, factor:

Finally, find the solutions:
x + 5 = 0
x = -5
x - 5 = 0
x = 5
A: One solution- a=11 b=5
B: Has no solution- a=10 b=5
C: Infinite solution- a=10 b=-8