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3 years ago

Expand and simplify: (2x-3)2

Mathematics

1 answer:

nexus9112 [7]3 years ago

6 0

Answer:

4x-6

Step-by-step explanation:

2(2x) - 2(3)

4x-6

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If the exchange rate of 1 dollar is rs 72.45, how many dollar can be exchanged for rs 1449?

Shalnov [3]

Answer:

Step-by-step explanation:

1449÷72.45=20

4 0

3 years ago

The family of functions y = ce^{-2x} + e^{-x} is solution of the equation y' + 2y = e^{-x}. Find the constant c which defines th

Rufina [12.5K]

Answer:

$c = 1190.2$

Step-by-step explanation:

We have the following solution:

$y(x) = ce^{-2x} + e^{-x}$

We want to find the value of x that satisfies the following condition:

y(3) = 3.

This means that when x = 3, y = 3. So

$y(x) = ce^{-2x} + e^{-x}$

$y(3) = ce^{-2*3} + e^{-3}$

$3 = ce^{-6} + e^{-3}$

$3 = ce^{-6} + 0.0498$

$ce^{-6} = 2.9502$

$c = \frac{2.9502}{e^{-6}}$

$c = 1190.2$

4 0

3 years ago

A spring has natural length 24 cm. Compare the work W1 done in stretching the spring from 24 cm to 34 cm with the work W2 done i

Scilla [17]

Answer:

From the analysis W1=W2.

they are directly related

Step-by-step explanation:

the work-done in stretching a spring can be expressed as

$W=\frac{1}{2}kx^2$

where k= spring constant

x= change on length of spring

Hence for W1

Given data

x= 34-24= 10 cm

solving in terms of k we have

$W=\frac{1}{2}k*10^2\\\W=\frac{1}{2}k*100\\\W=50k$

Hence for W2

Given data

x= 44-34= 10 cm

solving in terms of k we have

$W=\frac{1}{2}k*10^2\\\ W=\frac{1}{2}k*100\\\ W=50k$

4 0

3 years ago

What’s the correct answer for this?

Mice21 [21]

｡☆✼★ ━━━━━━━━━━━━━━ ☾

First, you'd work out the centre value

It would be the opposite value to what is in the brackets

Thus, the centre value is (2, -4)

Plot this value on a graph

In order to find the radius, you must square root the 25

Thus, the radius would be 5

Plot some points with a radius of 5 from the centre and then draw the circle

Have A Nice Day ❤

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8 0

3 years ago

A cubical container measures 9 ft on each edge. What does it cost to fill the container at $2.58 per cubic ft?

Oxana [17]

Answer:

1,880.82

Step-by-step explanation:

4 0

3 years ago