Gio is solving the quadratic equation by completing the square. 5x2 + 15x – 4 = 0. What should Gio do first

Mathematics

2 answers:

enot [183]3 years ago

7 0

Answer: A

Step-by-step explanation:

The correct answer is the first option which is to isolate the constant. Completing the square is done as follows:

1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.

5x2 + 15x = 4

2. Make sure that the coefficient of the x^2 term is 1.

5(x^2 + 3x) = 4

3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.

5(x^2 + 3x + 9/4) = 4 +45/4

5(x+3/2)^2 = 61/4

Vaselesa [24]3 years ago

4 0

We observe that we have a polynomial of the form:
ax2 + bx + c
Therefore, to complete the square, we must use the following formula:
a (x + (b / 2a)) ^ 2 + c - (b ^ 2 / 4a)
Thus,
Step 1:
We define:
a = 5
b = 15
c = -4
Step 2:
we use the formula:
5 (x + (15 / (2 * 5))) ^ 2 + (-4) - ((15) ^ 2 / (4 * 5))
5 (x + (15 / (2 * 5))) ^ 2 - 15.25
5 (x + 1.5) ^ 2 - 15.25

5 (x + 3/2) ^ 2 - 61/4

Answer:
Gio should do first:
a (x + (b / 2a)) ^ 2 + c - (b ^ 2 / 4a)
a = 5
b = 15
c = -4

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3 years ago

PLEASE HELP

katrin2010 [14]

The game that is used for the scenario above in terms of fair play is using a balloon. Here, the player will hit the balloon.

<h3>What is the scenario under the balloon game?</h3>

The rule of play are:

This is a classic game with simple rules which are:

Each player to hit the balloon up and it bonce into the air but when one should not allow it to touch the ground.,
Players would be tied together in twos and they will juggle a lot of balloon and it have to be more than 1 balloon with one of their hands tied to their back.

A scenario of the worksheet game whose expected value is 0 is given below:

Assume that it costs about $1 for a player to play the billon game and as such, if the player hits a balloon, they will be given $3. what can you say. Can you say that it this game is fair or not? and who has the biggest advantage.

Solution

Note that a game is ”fair” if the expected value is said to be 0. When a player is said to hits a balloon, their net profit often increase by $4. So when the player do not hit a balloon, it drops to $1.

(4)(0.313) + (-1)(0.313)

= 0.939 approximately

Thus, the expected value is $0.939 which tells that the game is fair.

Learn more about fair play from

brainly.com/question/24855677

#SPJ1

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A home-made baseball diamond is in the shape of a square. The distance from base to base is 80 feet because of space constraints

Lelu [443]

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