Answer:
(8,-3)
Step-by-step explanation:
The given parabola is
We factor -3 from the first two terms to get:
Add and subtract the square of half the coefficient of x
We simplify to get:
We compare this to y=a(x-h)²+k,
The vertex is (h,k)=(8,-3)
Answer:
1536 cm^2 be the correct answ
Answer:
33.33%
Step-by-step explanation:
We need to calculate the <u>unit selling price and cost of each cosmetics.</u>
If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;
x = 1 cosmetic
since 360 = 12 cosmetic
cross multiply
12x = 360
x = 360/12
x = 30
Hence the unit cost price of the cosmetics will be Rs. 30
Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)
Selling price per unit = Rs. 40
Cost price per unit = Rs. 30
percent gain = SP-CP/CP * 100%
percent gain = 40-30/30 * 100
percent gain = 10/30 * 100
percent gain = 100/3
percent gain = 33.33%
Hence the percentage gain is 33.33%
You first need to find the LCD (lowest common denominator). You will need to find the smallest number that is a multiple of all numbers that is the denominator (2, 16, 8). Or, to say it another way, all the numbers in the denominator need to be a factor of this number.
You can find this by first checking if the largest number that is the denominator-- in this case 16-- is already the LCD, which means 16 is divisible by all the other numbers.
If this does not work, then multiply all the numbers together to get the LCD-- since you multiplied them together, you know that they will all be factors of the product.
However, you will be able to see that 16 is indeed the lowest common denominator:
2 × 8=16
8 × 2=16
16 × 1=16
So, after you find the LCD, multiply both the numerator and the denominator by the number that you would need to multiply the denominator to get the LCD (the whole point is that you want to get the denominator to be the LCD, but to do that you need to multiply both the top and bottom by the same number to keep the fraction the same).
(1/2) x (8/8)= 8/16
(3/16) x (1/1)= 3/16
(7/8) x (2/2)= 14/16
Answer:(1-w) (1-w*2)
=1-w*2-w+w*3
=1-w-w*2+1
=1-1+1
=1
Step-by-step explanation:
at first we should multiply them with each other
then, put the value of w*3 i.e. w*3=1
then, put the value of -w-w*2 i.e. 1
then, the final answer is 1.
