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3 years ago

14k²+49k+21 factorise

Mathematics

1 answer:

irina [24]3 years ago

6 0

Answer:

(2k+1)(k+3)

Step-by-step explanation:

14k²+49k+21

simplify by dividing the whole equation by 7

2k²+7k+3

factorise

(2k+1)(k+3)

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3 years ago

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For y = 6x + (-2) what is y when x = -1

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

6(-1)+(-2)

-6(-2)

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3 years ago

Which of the following is a solution of y - x > -3? (6, 2) (2, 6) (2, -1)?

SVEN [57.7K]

Hello :
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3 years ago

A right circular cone is undergoing a transformation in such a way that the radius of the cone is increasing at a rate of 1/2 in

Ivenika [448]

Answer:

The volume is decreasing at the rate of 1.396 cubic inches per minute

Step-by-step explanation:

Given

Shape: Cone

$\frac{dr}{dt} =\frac{1}{2}$ --- rate of the radius

$\frac{dh}{dt} =-\frac{1}{3}$ --- rate of the height

$r = 2$

$h = \frac{1}{3}$

Required

Determine the rate of change of the cone volume

The volume of a cone is:

$V = \frac{\pi}{3}r^2h$

Differentiate with respect to time (t)

$\frac{dV}{dt} = \frac{\pi}{3}(2rh \frac{dr}{dt} + r^2 \frac{dh}{dt})$

Substitute values for the known variables

$\frac{dV}{dt} = \frac{\pi}{3}(2*2*\frac{1}{3}* \frac{1}{2} - 2^2 *\frac{1}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}* \frac{1}{2} - \frac{4}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}(\frac{1}{2} - 1))$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}*- 1)$

$\frac{dV}{dt} = -\frac{\pi}{3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{7*3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{21}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{88}{63}$

$\frac{dV}{dt} =-1.396in^3/min$

The volume is decreasing at the rate of 1.396 cubic inches per minute

3 0

3 years ago

3(negative 2-3x)=negative 9x-4

Andreyy89

Answer:

x = -2

Step-by-step explanation:

3(-2 - 3x) = -9x - 4 (Given)

3(-2) + 3(-3x) = -9x - 4 (Distributive Property of Equality)

-6 + 9x = -9x - 4 (Simplify)

-6 + 4 -9x= -9x - 4 + 4 (Addition Property of Equality)

-2 + 9x = -9x (Simplify)

-2 + $\frac{-9x}{-9} = \frac{-9}{-9}$ (Division Property of Equality)

-2 = x (Simplify)

x = -2 (Symmetric Property of Equality)

3 0

3 years ago

14k²+49k+21 factorise​

14k²+49k+21 factorise