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Archy [21]
3 years ago
6

How do you solve for x: 2x/3 = 3x/5 - 1 ???

Mathematics
1 answer:
bogdanovich [222]3 years ago
4 0

Answer:

x=-15

Step-by-step explanation:

2x/3=3x/5-1

10x=9x-15

10x-9x=-15

x=-15

you need to use the least common multiple which are 3,5

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This graph shows transformations between f(x) = 10x and g(x) = a · 10x. Identify the following functions. p(x) = 4 · 10x q(x) =
wel

Anwers:

1. line A

2. line D

3. line B

4. line C

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the original function:

f(x) = 10x

and g(x) = a · 10x is the general from of all transformed functions from the above original function.

  • p(x) = 4 · 10x

The graph of this function is stretched vertically => line A

  • q(x) = –4 · 10x

The graph of this function is stretched vertically and is reflected through the x-asix => line D.

  • r(x) = (1/4) x 10x

The graph of this function is compressed vertically => line B

  • s(x) = (-1/4) x 10x

The graph of this function is compressed vertically and is reflected through the x-asix => line C

Hope it will find you well.

4 0
3 years ago
Read 2 more answers
Alex says that the function f(x) = (3x)2 represents a vertical stretch of the quadratic parent function by a factor of 3. Marta
gavmur [86]

Our parent function is f(x)=x^2. A vertical stretch by a factor of k means that every point (x,f(x)), has been transformed into (x,kf(x)). Alex is clearly incorrect as our parent function has been transformed to (x,9f(x)), not (x,3f(x)). A horizontal stretch(or compression) by a factor of k means our function has been transformed to (x/k,f(x)). Here, Marta is saying our function should look like (3x,f(x)). This can also be achieved by plugging 3x into the parent function, which would give us f(3x)=(3x)^2, so it seems that Marta is the correct one.

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3 years ago
15. Divide the polynomial x^3 + x^2 - 2x + 3 by (x - 1).​
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Answer:

x² + 2x + [3\x - 1]

Step-by-step explanation:

Since the divisor is in the form of <em>x - c</em>, use what is called <em>Synthetic Division</em>. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

1| 1 1 -2 3

↓ 1 2 0

------------------

1 2 0 3 → x² + 2x + [3\x - 1]

You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder, which in this case is a 3, so what you is set the divisor underneath the remainder of 3. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², 2 becomes <em>2x</em><em>,</em><em> </em>and the remainder of 3 is set over the divisor, giving you the other factor of <em>x² + 2x + [3\x - 1]</em>.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

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Help me I don’t get this!!!
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