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3 years ago

What formula should I use for this?

Mathematics

1 answer:

mr_godi [17]3 years ago

8 0

If they're asking for the nth term, you should use n in your formula, ie.,

a(n) = 6000 * 0.5ⁿ

However, the first term is when n=1, so your formula should really be:

a(n) = 6000 * 0.5⁽ⁿ⁻¹⁾

Then the 8th term is 46.875

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Evaluate the expression: 2x + 7 - 3x, when x = 2

Galina-37 [17]

2(2)+7-3(2)=
4+7-6= 5
your answer is 5

4 0

3 years ago

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Solve algebraically for x

Anton [14]

3x + 1 = (x-1)^2
3x + 1 = x^2 - 2x + 1
0 = x^2 -5x
0 = x(x-5)
x = 0,5

Hope this helps!

4 0

3 years ago

What is the slope y+2=1/4(x-3)

ioda

Answer:

$m=\frac{1}{4}$

Step-by-step explanation:

Given

$y+2=\frac{1}{4}(x-3)$

Required

Find the slope

$y+2=\frac{1}{4}(x-3)$

Subtract 2 from both sides

$y+2-2=\frac{1}{4}(x-3) - 2$

$y=\frac{1}{4}(x-3) - 2$

Open bracket

$y=\frac{1}{4}x-\frac{1}{4}*3 - 2$

$y=\frac{1}{4}x-\frac{3}{4} - 2$

Take LCM

$y=\frac{1}{4}x+\frac{-3 - 8}{4}$

$y=\frac{1}{4}x+\frac{-11}{4}$

$y=\frac{1}{4}x-\frac{11}{4}$

An equation has the form:

$y = mx + b$

Where

$m = slope$

By comparing: $y = mx + b$ and $y=\frac{1}{4}x-\frac{11}{4}$

$m=\frac{1}{4}$

So, the slope is 1/4

6 0

3 years ago

sophie was 28 years old when daughter Nichole was born. In how many years will Sophie be two years less than still times Nichole

Kamila [148]

It will take 6 years for that to happen.

You can find this by setting Nichole's age as x and Sophie's age as x + 28 since she will always be 28 years older.

Now we are looking for a time that Sophie's age is equal to 2 less than 6 times Nichole's age. So we can set up the below equation.

6(x) - 2 = x + 28
6x - 2 = x + 28
5x - 2 = 28
5x = 30
x = 6

This let's us know that it needs to be when Nichole is 6, which is 6 years in the future.

6 0

3 years ago

Earth travels about 66,600 miles per hour as it revolves around the Sun. How far does Earth travel in 15 seconds?

o-na [289]

Step-by-step explanation:

Miles travelled in 1h=66600

Miles travelled in 1 sec=66600/3600

=18.5miles

Miles travelled in 15 seconds =18.5×15

=277.5miles

4 0

3 years ago

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