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2 years ago

HELP!!!! I cannot find any good answers for this question and I keep getting it wrong! The answer options are:

Mathematics

1 answer:

kondaur [170]2 years ago

8 0

The missing reason is (d) Add the fractions together on the right side of the equation

<h3>How to complete the missing reason?</h3>

From the statements, we have the following equation:

x^2 + b/a x + (b/2a)^2 = -4ac/4a^2 + b^2/4a^2

Next, we add the fractions on the right-hand side of the equation.

This gives

x^2 + b/a x + (b/2a)^2 = [-4ac + b^2]/4a^2

The above means that the last statement is gotten by adding the fractions on the right-hand side of the equation.

Hence, the missing reason is (d) Add the fractions together on the right side of the equation

Read more about quadratic equations at:

brainly.com/question/1214333

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dsp73

Answer:

y= 6 $x^{2}$ - 36x + 58

Step-by-step explanation:

6 ( $x^{2}$ - 6x +9) + 4

6 $x^{2}$ - 36x + 54 + 4

6 $x^{2}$ - 36x + 58

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3 years ago

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How many solutions does the system have?

umka21 [38]

One solution

<h2>Explanation:</h2>

For a system of linear equations in two variables, we could have three possible cases:

<h3>Case 1. No solution.</h3>

This happens when the lines are parallel and have different y-intercepts.

<h3>Case 2. One solution.</h3>

This happens when the lines intersect at a single point.

<h3>Case 1. Infinitely many solutions</h3>

This happens when the lines are basically the same having the same slope and y-intercept.

So, let's rewrite our lines in Slope-intercept form $y=mx+b$ :

$Line \ 1: \\ \\ 4x-2y = 8 \\ \\ 2y=4x-8 \\ \\ y=\frac{4}{2}x-\frac{8}{2} \\ \\ y=2x-4 \\ \\ \\ Line \ 2: \\ \\ 2x + y = 2 \\ \\ y=-2x+2$

As you can see, they have different slopes and y-intercepts. So they will intersect at a single point which is the solution of the system. By using graphing tool we get that this point is (1.5, -1) as indicated in the figure below.

<h2>Learn more:</h2>

Parametric equations: brainly.com/question/10022596

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<h2>Order is 3,1,5,2 and 4.</h2>

Step-by-step explanation:

We have

log(x² - 15) = log(2x)

Solving the equation

x² - 15 = 2x

x² - 2x - 15 = 0

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x -5 = 0 or x + 3 = 0

x = 5 or x = -3

The solutions are −3 and 5.

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