The formula in order to obtain the vertex form of a
quadratic equation is given as
y=a(x-h)^2+k where (h,k) is the vertex of the quadratic
equation which is parabolic in shape and it is opening upward.
As given in the problem, y=6x^2+12x-10
Using the formula, we can transformed the quadratic equation
y=6x^2+12x-10 into its vertex form:
y=6x^2+12x-10
<span>y= (6x^2+12x)-10 (grouping)</span>
y=6(x^2+2x)-10 (factoring Common terms per
group)
y=6(x^2+2x+1)-10-6 (Completing the squares)
<span>y=6(x+1)^2-16
(Factor and Simplify) </span>
Hence, the vertex form of y=<span>6x^2+12x-10 is y=6(x+1)^2-16</span>
Answer:
The sweaters cost $35 each.
Step-by-step explanation:
The skirt was $20, so you would subtract 20 from 160. that equals 140. Then you would divide 140 by 4. that would equal 35. So the answer is $35.
Two mixed numbers as
and
the least common denominator (LCD) is 12.
<u>Step-by-step explanation:</u>
The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator, it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.
<u>Steps to find the LCD of fractions, integers and mixed numbers:</u>
- Convert integers and mixed numbers to improper fractions
- Find the LCD of all the fractions
- Rewrite fractions as equivalent fractions using the LCD
Let's us have two mixed numbers as
and
.
Equivalent Fractions with the LCD
= 
= 
For the denominators (6, 12) the least common multiple (LCM) is 12. Therefore, the least common denominator (LCD) is 12.
Answer:
1/6
Step-by-step explanation:
1/6 chance
I can't edit pictures for you so as a result I can't answer it. But label those numbers on the x line and that will be your answer. And OMG your laptop is torn up I tell you TORN.