Answer:
The vertex form is: y = 3(x-2)^2 + 7
. The vertex is (2, 7)
Step-by-step explanation:
Write the function: y = 3x^2 - 12x + 11 in vertex form
The vertex form of a quadratic equation is:
y = m(x - a)^2 + b where (a,b) is the vertex
For y = 3x^2 - 12x + 11
Solve for m
y = 3(x^2 - 4x) + 11
Complete the Square:
y = 3(x^2 - 4x + 4) + 11 - 4
y = 3(x - 2)^2 + 7
The vertex then is (2, 7)
Answer:
third option
Step-by-step explanation:
Answer:
61=x ( vertical opposite angle)
61=y (corresponding angle)
===> Mr. Jackson bought / . of beef:
===> He cooked / of it for lunch:
Solution ===> Mr Jackson, had 2 / 5 Lbs. left
===>
If he cooked / of it for lunch:
===> Mr Jackson, had
/ of the original amount left.
===> Since ( / )( / )
===> / * /
===> /
Mr Jackson, had
/
.
left.
write the answer as one expression; Then Solve:
(
/ )( −
/ )
8 / 5 ( 1 - 3 / 4 )
= 8 / 5 ( 1 / 4 )
= 2 / 5 ( Decimal: 2 / 5 ====> 0.4 )
Answer, 2 / 5 Lbs.; of beef, Mr Jackson, Had left.
Hope that helps!!!!! : )
Hope that Helps!!!! : )
Answer:
The answer is 0.75.
Step-by-step explanation:
To use probability of a complement event, we need to find the situation where none of the couples are sitting next to each other which can happen either two husbands are sitting in the seats 2 and 3 or two wives are sitting in the seats 2 and 3. Also in the first scenario, the wives would need to be sitting at the opposite ends to their husbands and vice versa for the second scenario.
So there are in total 4 scenarios where no couple is sitting next to each other.
There are a total of 16 different ways that they can be seated so the probability of compelement is 16 - 4 = 12, which is 3/4 of the total, meaning that the probability of at least one of the wives sittting next to her husband is 0.75 or 75%.
I hope this answer helps.
