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Nookie1986 [14]
3 years ago
9

What is the value of 3ab+ 50-6 when a=-1 and b=3? оо O 6 18 o o O 24

Mathematics
2 answers:
mixer [17]3 years ago
8 0

Answer:

0

Step-by-step explanation:

3(-1)(3)+5(3)-6=   -9+15-6=0

Readme [11.4K]3 years ago
4 0

Answer:

0

Step-by-step explanation:

3ab + 5b - 6 when a = -1 and b is 3

→ First substitute a and b into 3ab

3 × -1 × 3 = -9

→ Substitute b into 5b

5 × 3 = 15

→ Connect all the terms together

-9 + 15 - 6

→ Simplify

0

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Ira Lisetskai [31]

Answer:

T = 3.967 C

Step-by-step explanation:

Density = mass / volume

Use the mass = 1kg and volume as the equation given V, we will come up with the following equation

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   = (999.87−0.06426T+0.0085043T^2−0.0000679T^3)^-1

Find the first derivative of D with respect to temperature T

dD/dT = \dfrac{70000000\left(291T^2-24298T+91800\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^2}

Let dD/dT = 0 to find the critical value we will get

\dfrac{70000000\left(291T^2-24298T+91800\right)}  = 0

Using formula of quadratic, we get the roots:

T =  79.53 and T = 3.967

Since the temperature is only between 0 and 30, pick T = 3.967

Find 2nd derivative to check whether the equation will have maximum value:

-\dfrac{140000000\left(395178T^4-65993368T^3+3286558821T^2+2886200857800T-121415215620000\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^3}

Substituting the value with T=3.967,

d2D/dT2 = -1.54 x 10^(-8)    a negative value. Hence It is a maximum value

Substitute T =3.967 into equation V, we get V = 0.001 i.e. the volume when the the density is the highest is at 0.001 m3 with density of

D = 1/0.001 = 1000 kg/m3

Therefore T = 3.967 C

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