Is 4.25 a rational number

The first few steps in deriving the quadratic formula are shown.

Kisachek [45]

In the first few steps for deriving the quadratic formula left side of the equation due to the distributive property for balancing the equation.

<h3>What is quadratic equation?</h3>

A quadratic equation is the equation in which the highest power of the variable is two.

Here, The first few steps in deriving the quadratic formula are shown in the table.

Use the substitution property of equality to solve it further,

-c=-ax² +bx

Now factor out the term a, to solve further as,

- c = a (x² + b/a x)

for half of the b value and square it to determine the constant of the perfect square trinomial as,

(b/2a)² = b²/4a²

Now the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

-c + b²/4a² = a(x² + b/a x + b²/4a² )

Thus, the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

Learn more about Quadratic equation from:

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7 0

2 years ago

Why does he look so off

victus00 [196]

He’s a cocain addict. They snort them Poland bro

8 0

3 years ago

Read 2 more answers

Raju covers a certain distance in 1 hour and sham covers the same distance in 2 hours , who travels in a higher speed?

dimulka [17.4K]

Answer: Raju travels at a higher speed.

Step-by-step explanation:

$Speed =\dfrac{Distance}{Time}$

Speed inversely proportional to time.

As time taken to cover a particular distance decreases the speed will increase.

Raju covers a certain distance in 1 hour.

Sham covers the same distance in 2 hours.

1< 2

Thus Raju travels at a higher speed.

5 0

3 years ago

What is the average rate of change of the function f(x)= 2^x - 3 from x= 4 and x= 6?

WITCHER [35]

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7 0

4 years ago

Several years ago, 50% of parents who had children in grades K-12 were satisfied with the quality of education the students r

galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1095, \pi = \frac{478}{1095} = 0.4365$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612$

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

5 0

3 years ago