Answer:

Step-by-step explanation:
Evaluating the numerator and denominator before evaluating
Using the rule of exponents
⇔
,
= 1
Thus
y² ← substitute values into expression
=
× 4² =
× 16 = 
and denominator

= 1 × 4³ = 1 × 64 = 64
Now dividing
÷ 64
=
×
( cancel 16 and 64 )
=
= 
Answer:
factors are any group of number or expressions which, when multiplied, produce another number or expression.
Basic example: 4 can be broken into 2 factors---2 and 2. 2 times 2 = 4
Example using an unknown:
2X + 6 = 2 * (X + 3)
In the given problem, there is no whole-number common factor. A normal convention would be to factor based on the unknown term----thus 8X is factored into 8 and X.
So: 8X + 7 = 8 ( X + 7/8 )
The following would also be correct:
8X + 7 = 4 ( 2X + 7/4 )
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
-5 + 5 = 0
Answer:
x=50
See below for word problem.
Step-by-step explanation:
While shopping, you spend $125 before tax. You buy 3 dresses at the same price each and receive a $25 discount. How much is the price of each dress?
3x-25=125
3x=125+25
3x=150
x=50
Answer:
y= 1/12(x-0)^2+0
this answer works as an upward parabola
Step-by-step explanation:
- The formula for a veritcal parabola is y=1/4p(x-h)^2+k
- (h,k)= coordinates of the vertex of the parabola
- p= absolute value of the distance from the vertex to the focus/directrix
- In this problem, it is given that the vertex is at the origin (0,0) and the focus (the bulb), is 3 centimeters away from the vertex.
- Now, you know the values of the variables. Fill in the values
- FROM THE FORMULA: 1/4p turns into 1/12 since p is 3.
- (x-h)^2+k turns into (x-0)^2+0, since h and k where the values of the vertex which was 0,0
- once all the variables are given values (except x and y) you have made your equation!
- The answer is y=1/12(x-0)^2+0
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