Answer:
Step-by-step explanation:
(a+ b)² = a² + b² + 2ab
(2x + y)² = (2x)² + y² + 2*2x *y
= 4x² + y² + 4xy
(a- b)² = a² + b² - 2ab
(3x - 2y)² = (3x)² + (2y)² - 2*3x *2y
= 9x² + 4y² - 12xy
(a - b)(a +b) = a² - b²
(x - 4y(x + 4y) = x² - (4y)²
= x² - 16y²
(2x + y)² - (3x - 2y)² + (x - 4y)(x +4y)
= 4x² + y² + 4xy - (9x² + 4y² - 12xy) + x² - 16y²
= 4x² + y² + 4xy - 9x² - 4y² + 12xy + x² - 16y²
= 4x² - 9x² + x² + y² - 4y² - 16y²+ 4xy + 12xy
= -4x² - 19y² + 16xy
Answer: 108
Step-by-step explanation: You take the x and the 2/3x and combine them to get 1 2/3x, so 1 2/3x=180. 180 divided by 5 is 36, and 36 times three is 108
Answer:
A
Step-by-step explanation:
Try testing each graph by picking a point on the shaded region or none shaded region.
-1/5 and 6= y-intercept
4/5 and 2= slope
You may notice that it is in y-intercept form. So to find where the shaded region goes, test a coordinate and apply it to the equation, if the answer is false, than half of the line is not where the shaded region goes.
Answer:
Probability that all winner are men = 0.0035 (Approx.)
Step-by-step explanation:
Given:
Number of women = 50
Number of men = 26
Total number winner = 5
Find:
Probability that all winner are men
Computation:
Total competitor = 50 + 26 = 76
Probability that all winner are men = 26/76 x 25/75 x 24/74 x 23/73 x 22/72
Probability that all winner are men = 7,893,600 / 2,216,980,800
Probability that all winner are men = 0.0035 (Approx.)
Assume the first even integer is x.
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.
The reciprocals of these two even integers can be written as

and

respectively.
The sum of their reciprocals is 7/24. So we can set up the equation as:

Taking LCM on left hand side:

Cross Multiplying the denominators:

Using the quadratic formula to solve the above equation:

Since, the value of x can only be an integer, we discard the fractional value and keep x=6
So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24