Answer:
Exact Form:
x=−1/2,2,1
Decimal Form:
x=−0.5,2,1
Step-by-step explanation:
Answer:
Maximum number of people is 35
Step-by-step explanation:
With a total of $160 you have to pay for the bus and all the people. The bus cost $90 so you subtract that from the 160 because you bought (or rented) the bus. Then you have $70 left to pay for everyone's tickets. If each ticket is $2 then you can buy 35 tickets in total because 70 divided by 2 = 35.
One of the numbers is 40 and the other one is 63
confirmation:
63×(2/3)-2=40
and 40+63=103
Answer:
degree of length = 1
degree of width = 1
degree of height = 3
degree of volume = 4
Step-by-step explanation:
V = (4x - 1)( x)(x³) = (4x² - x)x³ = 4x∧5 - x∧4
dV/dx = 20x∧4 - 4x³
d²V/dx² = 80x³ - 12x²
80x³ - 12x² = 0
4x²(20x - 3) = 0
20x - 3 = 0
20x = 3
∴ x = 3/20
Length, 4x - 1 = 4 (3/20) - 1 = 3/5 - 1 = -2/5
∴ degree of length = 1
Width, x = 3/20
∴ degree of width = 1
Height, x³ = (3/20)³ = 27/8000
∴ degree of height = 3
Volume, 4x∧5 - x∧4 = 4(3/20)∧5 - (3/20)∧4 = 4(243/3200000) - (81/160000) = 243/800000 - 81/160000 = (243 - 405)/800000 = - 162/800000 = - 81/400000
∴ degree of volume = 4
Answer:
C) -5/12
Step-by-step explanation:
To find the slope of a line with given points, you divide the difference of y-coordinates by the difference of the x-coordinates of those same 2 points.
x's:-9-3=-12
y's:-1-(-6)=5
Then, you put the answer of the y's in the numerator, and x's in the denominator, giving you 5/-12, but you can't have a negative in the denominator, moving it up to become -5/12 as the slope.