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Dennis_Churaev [7]
3 years ago
11

The number of girls, g, in a room is four more than two times the number of boys, b. Half of the number of girls in the room min

us the number of boys is 2. The equations below represent the situation.
Mathematics
1 answer:
stealth61 [152]3 years ago
6 0
Call g the number of girls and b the number of boys.

These are the equations that represent the situation:

1) g = 4 + 2b

2) g/2 - b = 2

To solve it you can multiply the second by 2:

=> 2 { g/2 - b = 2 }

=> g - 2b = 4

As  you can see this equation is equivalent to the first equation, so this system is not determined (it has infinite solutions).
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Ab over 2 equal 2a minus 1,express a in terms of b
sasho [114]

\frac{ab}{2} = 2a - 1

2(\frac{ab}{2}) = 2(2a - 1) <em>multiplied both sides by 2 </em>

ab = 4a - 2 <em>distributed the 2 on the right side</em>

ab - 4a = -2 <em>subtracted 4a from both sides</em>

a(b - 4) = -2 factored out "a" from the left side

a = \frac{-2}{b - 4} <em>divided (b - 4) on both sides</em>

Answer: a = \frac{-2}{b - 4}

6 0
3 years ago
How do mental math strategies help you solve problems such as the ones above?
Luden [163]

With mental math, you can perform equations quickly and efficiently. They also help you to develop your own strategies and solve more complex math equations. Hope this helps;)


7 0
4 years ago
For which pairs of functions is (f * g) (x)?
Ronch [10]

Answer:

The pairs of functions that best represent the equation are f(x)=x² and g(x)=1/x

Step-by-step explanation:

For this problem, you will have to multiply each equation in the answer choices until you find the pair that has a product of x.

Let's start with the first answer choice.

(f * g)(x)

<em>f(x)=x²</em>

<em>g(x)=1/x</em>

Now, we multiply these terms together.

x² * 1/x = x²/x

Now, divide x from x². When you are dividing exponents, the exponential numbers subtract. So, since there is no exponent on x, then we assume this exponent to be 1. So, when dividing you will subtract 1 from 2.

x²/x = x

So, the answer to the problem is answer choice A. These functions multiply together to get you a final product of x.

7 0
3 years ago
What is the best choice for the equation of the line of best fit shown?
vitfil [10]

Answer:

What is the best choice for the equation of the line of best fit shown?

b) y = -1.5x + 23

What would the value of y be for a point at x = 8?

b) 11

Did this on EDGE!

8 0
2 years ago
What is the product of 2+i and 3-2i?
Darina [25.2K]

Answer:

8-i

Step-by-step explanation:

(2+i)(3-2i)

6-4i+3i-2(-1)

6-i+2

8-i

5 0
2 years ago
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