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3 years ago

What is the value of x^2 - 3y + 5x + 2 whenx = 7 and y = 4?

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

4 0

Answer:

Step-by-step explanation:

$x^2 - 3y + 5x + 2 \\ \\ = {7}^{2} - 3(4) + 5(7) + 2 \\ \\ = 49 - 12 + 35 + 2 \\ \\ = 74$

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10 times the amount of 82,574

mihalych1998 [28]

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3 years ago

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The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixe

WARRIOR [948]

Answer:

7536 $km^3/sec$

Step-by-step explanation:

Given that:

Rate of decreasing of radius = 12 km/sec

Height of cylinder is fixed at = 2.5 km

Radius of cylinder = 40 km

To find:

The rate of change of Volume of the cylinder?

Solution:

First of all, let us have a look at the formula for volume of a cylinder.

$Volume = \pi r^2h$

Where $r$ is the radius and

$h$ is the height of cylinder.

As per question statement:

$r$ = 40 km (variable)

$h$ = 2.5 (constant)

$\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h$

As $\pi, h$ are constant:

$\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec$

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3 years ago

Number greater than 543,000 but less than 544,ooo

nikdorinn [45]

543,000.1
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Which of the binomials below is a factor of this expression?<br> 16x2 + 40xy + 25y2

svet-max [94.6K]

(4x+5y)2 is the right answer

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kondor19780726 [428]

Answer:

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Step-by-step explanation:

(-6,0)

(-4,3)

(2,0)

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4a + 2b + c = 0

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16a - 4b -4a - 2b = 3

32a -8b = 0

12a - 6b = 3

4a - b = 0

4a - 2b = 1

b = -1

4a + 1 = 0

4a = -1

a = -1/4

c = 1 + 2 = 3

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3 years ago

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