You need to use the quadratic formula for this question.
In your equation, a is 1, b is 6, and c is 4. (I couldn't find a plus minus sign, so that's what the +- means, sorry if there's confusion.)
Sub those into the quadratic formula, and
For the first answer, we should get
x1=-0.7639, when you add the √6^2-4(1)(4)
For the second answer, we get
x2=-5.2361 when we subtract the √6^2-4(1)(4)
Therefore, the x values that make this equation equal to 0 should be approximately -0.7639 and -5.2361.
The more specific answers are
x1= -3+√5 and x2=-3-√5.
To compute how many groups of elements we can extract out of a group of elements, we can use the binomial coefficient:
where the factorial is defined as
So, this is the number of possible quintuplet out of 50 numbers:
Similarly, this is the number of possible groups of six numbers out of 60:
So, you win with a combination out of 2118760 in state A, and with a combination every 50063860 in state B this means that winning in state A is easier with a ratio of
Whichi means that winning in state B is 23 times harder
Answer:
y = - 10
Step-by-step explanation:
2x - 5y + 3 = 6x - 3y + 7
2(4) - 5y + 3 = 6(4) - 3y + 7
8 - 5y + 3 = 24 - 3y + 7
11 - 5y = 31 - 3y
11 - 11 - 5y = 31 - 11 - 3y
- 5y = 20 - 3y
- 5y + 3y = 20 - 3y + 3y
- 2y = 20
- 2y ÷ - 2 = 20 ÷ - 2
y = - 10
5/6x = -1/6 ...multiply both sides by 6/5
x = -1/6 * 6/5
x = - 6/30 reduces to -1/5
Side1 + side2 + side 3 = 84
side1 is the shortest side, and its length is x.
side2 is the middle side, and its length is x + 7
side3 is the longest side, and its length is 2x - 7
x + x + 7 + 2x - 7 = 84
4x = 84
x = 21
side1 = x = 21
side2 = x + 7 = 21 + 7 = 28
side3 = 2x - 7 = 2(21) - 7 = 42 - 7 = 35
The length of the sides are 21 m, 28 m, and 35 m.