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mixer [17]
3 years ago
12

For the equation 2x + 3 = 4x – 3: a. How many solutions does it have? b. How do you know?

Mathematics
2 answers:
mario62 [17]3 years ago
8 0

Answer:

a) one solution, x=3

b) see below

Step-by-step explanation:

2x+3=4x-3

2x=6

x can only be=3

EastWind [94]3 years ago
3 0

Answer:

Step-by-step explanation:

2x + 3 = 4x - 3

-2x + 3 = -3

-2x = -6

x = 3

a. one solution

b. used the multi step equation

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What is the common denominator of (5/x^2-4) - (2/x+2) in the complex fraction (2/x-2) - (3/x^2-4)/(5/x^2-4) - (2/x+2)
PIT_PIT [208]

9514 1404 393

Answer:

  • common denominator: (x² -4)
  • simplified complex fraction: (2x +1)/(9 -2x)

Step-by-step explanation:

It is helpful to remember the factoring of the difference of squares:

  a² -b² = (a -b)(a +b)

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Your denominator of (x² -4) factors as (x -2)(x +2). You will note that one of these factors is the same as the denominator in the other fraction.

It looks like you want to simplify ...

  \dfrac{\left(\dfrac{2}{x-2}-\dfrac{3}{x^2-4}\right)}{\left(\dfrac{5}{x^2-4}-\dfrac{2}{x+2}\right)}=\dfrac{\left(\dfrac{2(x+2)}{(x-2)(x+2)}-\dfrac{3}{(x-2)(x+2)}\right)}{\left(\dfrac{5}{(x-2)(x+2)}-\dfrac{2(x-2)}{(x-2)(x+2)}\right)}\\\\=\dfrac{2(x+2)-3}{5-2(x-2)}=\boxed{\dfrac{2x+1}{9-2x}}

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3 years ago
Describe the characteristics of a prism
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A prisms characteristics are as followed

  First, a prism has two faces that are the same in shape and are parallel.  those two faces are sometimes called the <span>bases </span>of the prism.  Between these two faces are the rest of the sides of the prism which most of the time are rectangles. Prisms are normally named based on the shape of the two parallel faces.  For example, a prism with two parallel square faces would be known as a “square based prism” or sometimes just “square prism”. Simple enough , now go out there and ace your test buddy !!

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<h3>Answer: Choice B</h3>
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3 years ago
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Which situation could be solved using the equation -4+4=0
navik [9.2K]

we are supposed to explain

Which situation could be solved using the equation -4+4=0

As we can see in the given equation , one number is -4 and the other number is 4

When we add two number of same value but opposite in sign we get zero.

This equivalent to the real life situation of paying a post paid bills.

Suppose you are using a post paid service , and the bills gets generated at the end of the month.

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Answer:

i don't know

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Mark on the grid all the points that fulfill all three inequalities.

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