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2 years ago

Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52

Mathematics

1 answer:

Fudgin [204]2 years ago

6 0

Answer: x = 55/2

Step-by-step explanation: (x)(2) (-3)(2) = 49 2x-6+6 = 49+6 2x/2 = 55/2 x = 55/2

I know that my answer isn't a choice for one of the values of x but that's the result that I got when I solved (x–3)2 = 49.

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The space shuttle releases a space telescope into orbit

sergey [27]

Answer: $68 m/s^{2}$

Step-by-step explanation:

The acceleration $a$ of the satellite can be calculated by the following equation:

$V_{f}=V_{o}+at$

Where:

$V_{f}=1700 m/s$ is the final speed of the satellite

$V_{o}=0$ is the initial speed of the satellite (it was "stationary" before the release)

$t=25 s$ is the time

Isolating $a$ :

$a=\frac{V_{f}}{t}$

$a=\frac{1700 m/s}{25 s}$

Finally:

$a=68 m/s^{2}$

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3 years ago

Tuition for one year at the state university Nick would like to attend is about $18,000. Nick plans to save money each month for

Lady bird [3.3K]

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3 years ago

Read 2 more answers

what is the equation of the line that is parallel to 6x-2y=4+6y and passes through the point (8, -16)?

Alisiya [41]

Answer:

$y=\frac{3}{4}x-22$

Step-by-step explanation:

We are given;

The equation of a line 6x-2y=4+6y
A point (8, -16)

We are required to determine the equation of a line parallel to the given line and passing through the given point.

One way we can determine the equation of a line is when we are given its slope and a point where it is passing through,

First we get the slope of the line from the equation given;

We write the equation in the form y = mx + c, where m is the slope

That is;

6x-2y=4+6y

6y + 2y = 6x-4

8y = 6x -4

We get, y = 3/4 x - 4

Therefore, the slope, m₁ = 3/4

But; for parallel lines m₁=m₂

Therefore, the slope of the line in question, m₂ = 3/4

To get the equation of the line;

We take a point (x, y) and the point (8, -16) together with the slope;

That is;

$\frac{(y--16}{x-8}=\frac{3}{4}$

$4(y+16)=3(x-8)\\4y + 64 = 3x - 24\\4y=3x-88\\ y=\frac{3}{4}x-22$

Thus, the equation required is $y=\frac{3}{4}x-22$

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3 years ago

One marketing company assumes a yearly growth in social media followers of 2.5% after implementing their ideas. Their client cur

tatyana61 [14]

Answer:

The number of follower after x years is 40,000 $(1.025)^{x}$

Step-by-step explanation:

Given as :

The number of current followers = p = 40,000

The rate of growth of follower = r = 2.5%

The time period of growth = t = x years

Let The number of follower after x years = A

<u />

<u>Now, According to question</u>

The number of follower after x years = number of current followers × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, A = 40,000 × $(1+\dfrac{\textrm 2.5}{100})^{\textrm x}$

Or, A = 40,000 × $(1.025)^{x}$

So, The number of follower after x years = A = 40,000 × $(1.025)^{x}$

Hence, The number of follower after x years is 40,000 $(1.025)^{x}$ Answer

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3 years ago