Answer:
see explanation
see explanationStep-by-step explanation:
21
Note that
(a -
)²
= a² - 2 + 
= a² +
- 2
= 11 - 2
= 9
Thus
(a -
)² = 9 ( take the square root of both sides )
a -
= 3
22
Since the expression is a perfect square, then
(4x + 5y)²
= 16x² + 40xy + 25y²
Comparing coefficients, then
a - 1 = 40 ( add 1 to both sides )
a = 41
23
99² - 87² ← is a difference of squares and factors as
= (99 - 87)(99 + 87)
= 12 × 186 = 1152, thus
24a = 1152 ( divide both sides by 24 )
a = 48
Answer: anwser is D if thats incorrect then its A
Step-by-step explanation:
Answer:
76.2838
Step-by-step explanation:
E[X+Y] = E[X] + E[Y]
E[X] is the average of X or expectancy of X
E[Y] is the average or expectancy f Y
E[X] = 40P(student is in bus 1)+33P(student is in bus 2)+25P(student is in bus 3)+50P(student is in bus 4)=
40(40/148) + 33(33/148) + 25(25/148) + 50(50/148) = 39.2838
E[Y] = (number of students)/(number of drivers) = 148/4 = 37
So E[X+Y] = 39.2838 + 37 = 76.2838
Answer:(-4,3)
Step-by-step explanation:
Here, Every equation has same slope (-4) and same y-intercept (3), so we don't need to calculate those.
Now, as coordinates are in left-portion, and also touches the line, it would be: y ≥ -4x + 3