Answer:
alr so ques is
x3 + 8
x^3 + 2^3
now apply identity of a3 + b3
so finally we get
=(x+2)(x2−2x+4)
option 2
enjoy!!!!!
Answer:
See solution below
Step-by-step explanation:
According to the diagram shown
m<1 = m<5 = 5=65 degrees (corresponding angle)
m<5 = m<4 - 65 degrees (alternate interior angle)
m<9 = m<8 = 65degrees (corresponding angle)
m<5 = m<8 = 65dgrees (vertically opposite angles)
m<6+m<8 = 180
m<6 + 65 = 180
m<6 = 180 - 65
m<6 = 115degrees
m<2 = m<6 = 115degrees (corresponding angles)
m<6 = m<7 = 115degrees (vertically opposite angles)
m<3 = m<7 = 115degrees(corresponding angle)
)
Answer:
Step-by-step explanation:
Let X be the length of pregnancy.
X is N(268, 15)
a) Prob of pregnancy lasting 307 days or longer
= P(X>307) = 
=0.5-0.4953
=0.0047
b) Lowest 2% is 2nd percentile
Z=-2.55
X score = 268-2.55(15)
= 229.75 days
If length of days >230 days then it is not premature.
Answer:
We conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
Step-by-step explanation:
We know that when y varies directly with x, the equation is
y ∝ x
y = kx
k = y/x
where 'k' is called the proportionality constant.
From the table,
For the point (2, 7)
k = y/x
= 7/2
= 3.5
For the point (4, 14)
k = y/x
= 14 / 4
= 7/2
= 3.5
For the point (5, 17.50)
k = y/x
= 17.5 / 5
= 3.5
For the point (9, 31.50)
k = y/x
= 31.50 / 9
= 3.5
From the above calculations, we computed that the value of the proportionality constant remains the same.
Thus, the table of numbers represents a proportional relationship.
Therefore, the equation becomes
y = kx
The price of 2 board game
y = 3.5 (2)
= 7
The price of 4 board game
y = 3.5 (4)
= 14
Therefore, we conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
(2·3.5 + 4·3.25 + 2·1.9 + 1·1.2)·(1 - 0.05) = $23.75
