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Andrews [41]
3 years ago
10

Which equation can be simplified to find the inverse y=x^2-7

Mathematics
1 answer:
Margarita [4]3 years ago
4 0
<span> x = y^2 - 7 this is one</span>
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How do you factor: 5x^3+30x^2+45x (please show steps)
Natasha2012 [34]

Answer:

Idk

Step-by-step explanation:idk

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3 years ago
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Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin
vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

F =450N

x_1 = 30cm

x_2 = 60cm

Required

The work done

First, we calculate the spring constant (k)

F = kx_1

450N = k *30cm

k = \frac{450N}{30cm}

k =15N/cm

So:

F = kx_1

F(x) = 15x

The work done using Hooke's law is:

W =\int\limits^a_b {F(x)} \, dx

This gives:

W =\int\limits^{60}_{30} {15x} \, dx

Rewrite as:

W =15\int\limits^{60}_{30} {x} \, dx

Integrate

W =15 \frac{x^2}{2}|\limits^{60}_{30}

This gives:

W =15 *\frac{60^2 - 30^2}{2}

W =15 *\frac{2700}{2}

W =15 *1350

W =20250N-cm

Convert to Nm

W =\frac{20250Nm}{100}

W =202.50Nm

7 0
3 years ago
Which statement can be used to prove that a given parallelogram is a rectangle?
RSB [31]

The <em>correct answer</em> is:


The diagonals of the parallelogram are congruent.


Explanation:


In every parallelogram, opposite angles are congruent. This would not mean it is a rectangle.


Consecutive sides of a parallelogram are only congruent if the parallelogram is a rhombus or a square; this would not be a rectangle.


The diagonals of every parallelogram bisect each other. This would not mean it is a rectangle.


The diagonals of a rectangle bisect each other. If we know this is true about our parallelogram, this means our parallelogram is a rectangle.

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3 years ago
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Find the oth term of the geometric sequence 9, -27, 81, ...
Novosadov [1.4K]
It would b 9 x (-3^(x-1))
6 0
3 years ago
((Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!
Lina20 [59]

Answer:

A


Step-by-step explanation:

A series is said to be convergent if |r| < 1. Where r is the common ratio of the series.

If |r| ≥ 1 then the geometric series diverges.

12/5 + 48/25 + 192/125 + ....

r = 192/125 ÷ 48/25 = 4/5

r = 48/25 ÷ 12/5 = 4/5

In the series, r is less than 1. So the series is convergent.

5 0
3 years ago
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