Which of the following is the first correct step to write the above equation in the form (x - p)2 = 9, where p and q are integers?

x2 - 14x + 41 + 8 = 0 + 8

x2 - 14x + 41 + 9 = 0 + 9

x2 - 14x + 41 - 8 = 0 - 8

x2 – 14x + 41 - 9 = 0 - 9

Answer:

**Answer:**

*The correct answer is the first option*

**Step-by-step explanation:**

__Quadratic Equation__

The standard form of a quadratic equation is

Sometimes we need to change the expression of the same equation to the form

To accomplish that change, we usually modify the left-hand expression to make it look like the square of a binomial.

The given quadratic equation is

Recall the square of a binomial is

The first term is already present. The second term gives us the value of p:

Solving

Now we need to produce the third term . We only have 41, thus we need to add 8 to both sides of the equation:

The correct answer is the first option

Greatest comment factor of 14^3 and 13^4

What should the rule be for the table?On a recent test, you were given the table displayed andasked to write the rule that models it.Subtract 6 from the x value to get the y value.Multiply the x value by 1/2 to get the y value.Multiply the x value by 1/4 to get the y value.Add 6 to the x value to get the y value.81212616 10(look at picture) pls help

In a video game, Clare scored 25% more points than Tyler. If c is the number of points that Clare scored and t is the number of points that Tyler scored, which equations are correct? Select all THREE that apply. A: C= t + 25B: C= t + 0.25tC: C= 1.25tD: C= t + 0.25E: C= t + 1/4t

Complete the table. Adults Children8 116 224 AB 4

Find the sum of the two polynomials (2x7−5x6−7x5+8)+(9x7−2x6−2x5−7)

What should the rule be for the table?On a recent test, you were given the table displayed andasked to write the rule that models it.Subtract 6 from the x value to get the y value.Multiply the x value by 1/2 to get the y value.Multiply the x value by 1/4 to get the y value.Add 6 to the x value to get the y value.81212616 10(look at picture) pls help

In a video game, Clare scored 25% more points than Tyler. If c is the number of points that Clare scored and t is the number of points that Tyler scored, which equations are correct? Select all THREE that apply. A: C= t + 25B: C= t + 0.25tC: C= 1.25tD: C= t + 0.25E: C= t + 1/4t

Complete the table. Adults Children8 116 224 AB 4

Find the sum of the two polynomials (2x7−5x6−7x5+8)+(9x7−2x6−2x5−7)

Answer: 56 times

Pls mark brainleist i really need it

Pls mark brainleist i really need it

Answer:

m= 1/2

b= (0,6)

Step-by-step explanation:

Slope is rise over run

The y intercept is when x=o or just look at the vertical line

**Answer:**

**Area = **

**Step-by-step explanation:**

**Let the width of portrait be 'w'**

Given:

Height of portrait without frame **(h) = 1.5 times its width =**

**Width of the frame is 3 inches on all sides.**

**Area of the framed portrait is the total area of the portrait plus the area of the frame.**

The figure representing the above scenario is shown below.

From the figure, area of rectangle ABCD is the area of the framed portrait.

From the figure,

AB =

BC =

Now, area of the rectangle ABCD is given as the product of the length AB and width BC. Therefore,

Therefore,** the expression for the area of the framed portrait in terms of the width 'w' is given as:**

**Area = **

The **area **of the **portrait **without the frame will be .

**Given **information:

A **portrait **without its frame has a **height 1.5 times **its **width w**, in inches.

The **width **of the frame is **3 inches**.

**Length **of the frame will be,

So, the **area **of portrait without frame will be,

Therefore, the **area **of the **portrait **without the frame will be .

For more details, refer to the link:

There is a 0.95 **probability **that the sample mean will provide a **margin **of **error **of 7.84.

The term probability refers to the likelihood of an event occurring.

Given that;

The **variance **of a population = 1,936

And, A random sample of 121 has been taken from the population.

Now,

Since, Standard **deviation **= √ Variance

= √1,936

= 44

Hence, The standard error = 44 / √121

= 44 /11

= 4

We know that;

The critical **z factor** for a confident interval of 0.95 = ± 1.96

Thus, The **sample mean** will provide a margin of error = 4 × 1.96

= 7.84

Learn more about** the probability** visit:

#SPJ5

**Answer:**

It is known that the variance of a popualtion equals 1,936.

**Step-by-step explanation:**

That should be correct!!!

**Answer:**

do you expect me to flip sideways just to help you cheat on ur homework

**Step-by-step explanation:**

It’s f .................

ln(x + 1)2

Answer:

In(x^2+2x+1)

Step-by-step explanation:

In(x+1)^2 = In(x+1)(x+1) = In(x^2+x+x+1) = In(x^2+2x+1)