A 16-ounce bottle of shampoo costs $4.69. What is the price per ounce, rounded to the nearest cent? A. $0.29 B. $0.34 C. $2.93 D
2 answers:
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Answer: D) reflection across y = -x
Explanation:
When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).
When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is
So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).
Similarly, B(1,5) moves to B ' (-5, -1)
Finally, C(6,9) becomes C ' (-9, -6)
Hey!
In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.
<em>Original Equation :</em>
<em>New Equation {Added Multiply Both Sides by V} :</em>
<em>Solution {New Equation Solved} :</em>
Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.
<em>Old Equation :</em>
<em>New Equation {Switched} :</em>
Now we'll divide both sides by v to get v on its own.
<em>Old Equation :</em>
<em>New Equation {Added Divide Both Sides by V} :</em>
<em>Solution {New Equation Solved} :</em>
<em>So, this means that in the equation
,</em> .
Hope this helps!
- Lindsey Frazier ♥
In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.
<em>Original Equation :</em>
<em>New Equation {Added Multiply Both Sides by V} :</em>
<em>Solution {New Equation Solved} :</em>
Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.
<em>Old Equation :</em>
<em>New Equation {Switched} :</em>
Now we'll divide both sides by v to get v on its own.
<em>Old Equation :</em>
<em>New Equation {Added Divide Both Sides by V} :</em>
<em>Solution {New Equation Solved} :</em>
<em>So, this means that in the equation
Hope this helps!
- Lindsey Frazier ♥
Answer:
x = 7, x = -10
Step-by-step explanation:
Use the quadratic formula.
Solve.
x = 7, x = -10
You can also factor if you want - that is a faster method.