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Alecsey [184]
3 years ago
8

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.
g=4+2b
1/2 g-b=2
Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0
It is evident that you need to find the solution of the system, if it exists.

Let's work the equations.

The second equation (which corresponds correctly to the second statement) is:

g/2 - b = 2, which you can be transformed in this way:

1) Multiply by 2 => g - 2b = 4

2)  Transpose - 2b => g = 4 + 2b.

Now you can see that this equation is the same than the firs equation, which means that the second statement does not provide any new information.

Mathematically, this is a system with infinite solutions, and you cannot determine the number of boys or girls without more information which provides and independent equation.

Answer: there are infinite solutions to the system.
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Which equations are correct?
Contact [7]
It's the first one lmk if you want an explanation
7 0
3 years ago
Consider the following equation.
EastWind [94]

The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.

<h3>What is the Quartic Formula?</h3>

The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.

<h3>What is the solution to the above question?</h3>

First we restate the above equation:

x²-3x+2= √(x-2) + 2

Next we remove square roots

x^{4} - 6x³ + 9x² = x - 2

Add two to both sides

→ x^{4} - 6x³ + 9x²+2 = x - 2 +2

→  x^{4} - 6x³ + 9x²+2 = x

Subtract X from both sides

→  x^{4} - 6x³ + 9x²+2 -x = x -x

→  x^{4} - 6x³ + 9x²+2 - x= 0

Using the Quartic formula to solve the fourth order equation:
ax^{4} + bx³ + cx² + dx + e

The resolution of x is given as:

x = 2.691085, 3.346753

Because the fraction nearest to 3.4 is 55/16

hence, the correct answer is Option A.

Learn more about quadratic equations at;
brainly.com/question/25841119
#SPJ1



6 0
2 years ago
Make up your own “which one doesn’t belong” example:
Stolb23 [73]
Caca pipipoopoo checkkkkkkkk
6 0
3 years ago
You bike 11.2 miles in 1.4 hours at a steady rate what equation represents to proportional relationship between the X ours your
inna [77]

Please don't just copy and paste or click an answer! PLEASE READ! I spend 14 minutes and I at least want you to read it!

11.2 * 1.4 = 15.68

Mark me brainliest if you can!

3 0
3 years ago
(20 pts)
irakobra [83]

A function can be represented by equations and tables

  • 4 users are logged in by 9am
  • The domain is [3,23] and the range of the function is [3,4]

<h3>The number of users at 9am</h3>

The function is given as:

g(x) = \frac14 \sqrt{x - 3} + 3

At 9am, x = 9.

So, we have:

g(x) = \frac14 \sqrt{9 - 3} + 3

g(x) = \frac14 \sqrt{6} + 3

Simplify

g(9) = 3.6

Approximate

g(9) = 4

Hence, 4 users are logged in by 9am

<h3>The domain</h3>

Set the radical to 0

x - 3 = 0

Solve for x

x = 3

The maximum time after midnight is 23 hours.

So, the domain is [3,23]

<h3>The range</h3>

When x = 3, we have:

g(x) = \frac14 \sqrt{x - 3} + 3

g(3) = \frac 14 * \sqrt{3 - 3} + 3 = 3

When x = 23, we have:

g(23) = \frac 14 * \sqrt{23 - 3} + 3 = 4

So, the range of the function is [3,4]

Read more about domain and range at:

brainly.com/question/2264373

3 0
2 years ago
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