Answer:
r⁶
Step-by-step explanation:
Cancel the common factors or r⁹ and r³
Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.
Step-by-step explanation:
x/3+x/6=7/2
We simplify the equation to the form, which is simple to understand
x/3+x/6=7/2
Simplifying:
+ 0.333333333333x+x/6=7/2
Simplifying:
+ 0.333333333333x + 0.166666666667x=7/2
Simplifying:
+ 0.333333333333x + 0.166666666667x=+3.5
We move all terms containing x to the left and all other terms to the right.
+ 0.333333333333x + 0.166666666667x=+3.5
We simplify left and right side of the equation.
+ 0.5x=+3.5
We divide both sides of the equation by 0.5 to get x.
x=7
Answer:
64 dollars
Step-by-step explanation: 120×30%= $36-$100= <u>$64</u>
Answer:
1. No, Joe is not correct
2.
Step-by-step explanation:
Given: b and c are parallel lines
To find:
1. whether the given statement is correct or not
2.
Solution:
1.
Sum of two angles that form a linear pair is equal to
(linear pair)
So, Joe is not correct
2.
If two lines are parallel then alternate interior angles are equal.
As b and c are parallel lines,
(alternate interior angles)