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

Write a valid conclusion using the Law of Detachment or Law of Syllogism given the statements below.1. If you drive above 55mph you will get a ticket2. Kate is driving 60 mph.

Anyone got the answer to this? Ik it’s prob easy but I’m just not seeing it

Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480. Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days. Part B: Write the equation obtained in Part A using function notation. Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

Consider the polygon shown. Determine the value of y. PLEASE HELP

PLEASE HELP DUE IN 10 MINUTES!!!!!!!!!!!!!!!!!!!!!!!!!!!!Hiking up a mountain, you notice that the air temperature drops 10°C for every 1000 Meters increase in elevation. Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3000 Meters. Then evaluate the expression and explain it's meaning.Please have a explanation and expression in your answer. If you get it done the way that I think is correct, you will get brainliest!❤❤

Anyone got the answer to this? Ik it’s prob easy but I’m just not seeing it

Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480. Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days. Part B: Write the equation obtained in Part A using function notation. Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

Consider the polygon shown. Determine the value of y. PLEASE HELP

PLEASE HELP DUE IN 10 MINUTES!!!!!!!!!!!!!!!!!!!!!!!!!!!!Hiking up a mountain, you notice that the air temperature drops 10°C for every 1000 Meters increase in elevation. Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3000 Meters. Then evaluate the expression and explain it's meaning.Please have a explanation and expression in your answer. If you get it done the way that I think is correct, you will get brainliest!❤❤

**Answer:**

**The null hypothesis is A) Drug X does cure disease Y**

**Step-by-step explanation:**

Consider the provided information.

If there is no statistical significance in the test then it is know as the null which is denoted by , otherwise it is known as alternative hypothesis which denoted by .

A pharmaceutical company ran a clinical trial to test if drug X cures disease Y.

Since, claim is drug X cures disease.

**Therefore, the null hypothesis is A) Drug X does cure disease Y**

In damped harmonic motion, we calculate damping coefficient γ by comparing the periods of damped and undamped motion. For the given situation where the quasi-period is 90% greater than the undamped period, the damping coefficient is approximately 0.7416.

The subject of this question involves **Damped Harmonic Motion**, a concept in Physics, related to vibrations and waves. The equation given, u'' + γu' + u = 0, describes the motion where γ denotes the *damping coefficient*. Here, we have to calculate this damping coefficient when the** quasi period** of the damped motion is 90% greater than the period of the corresponding undamped motion.

To solve this, we must use the relationship between damped and undamped periods. The quasi-period T' of a damped harmonic motion relates to the undamped period T as: T' = T/(sqrt(1 - (γ/2)^2)). Now, given that T' = 1.9T, we can but these two equations together:

1.9 = 1/(sqrt(1 - (γ/2)^2))

Solving this for γ, we get γ ≈ 0.7416. Hence, the damping coefficient γ for which the quasi period of the damped motion is 90% greater than the period of the corresponding undamped motion is approximately 0.7416.

#SPJ12

The value of the damping coefficient γ for which the quasi period of the damped motion is 90% greater than the period of the undamped motion is the one that satisfies γ=2*ω*0.9, where ω is the natural frequency of oscillation.

The given equation is for a **damped harmonic oscillator**, a physical system that oscillates under both a restoring force and a damping force proportional to the velocity of the system. The damping coefficient γ determines the behavior of the system and in this case, we need to find the value of γ such that the quasi period of the damped motion is 90% greater than the period of the undamped motion.

The period of the undamped motion, T₀, is calculated by the formula T₀=2π/sqrt(ω), where ω is the natural frequency of oscillation. The quasi period of the damped motion, Td, is increased by a factor of 1+η (in this case, 1.9 as the increase is 90%) and calculated by the formula Td=T₀(1+η) = T₀*1.9.

The damping ratio η is determined by the damping coefficient γ as η=γ/2ω. Therefore, by combining these expressions and rearranging the terms, we extract γ from these formulas as γ=2ω*η => γ=2*ω*(0.9). Thus, the value of the damping coefficient γ for which the quasi period of the damped motion is 90% greater than the period of the corresponding undamped motion is the one which satisfies** γ=2*ω*0.9.**

#SPJ2

will give points please hurry

A **graph **is the **plot** of a function or a **proportion **thus (1,18) represents the **number** of **cookies **made by using 1 cup of **flour **is 18.

A graph is a **diametrical representation **of any function between the dependent and independent **variables**.

For example y = x² form a **parabola **now by looking at only the graph we can **predict **that it has only a positive value irrespective of the **interval **of x.

As per the given **graph **of the number of **cookies **and cups of **flour**.

The **coordinate** of a point is (x,y) and here x-axis is the **cups **of **flour **and the y-axis is the **number **of **cookies**.

Since x = 1 so cups of flour are 1.

Since y = 18 so the number of **cookies **is 18.

Hence "A **graph **is the **plot** of a function or a **proportion **thus (1,18) represents the **number** of **cookies **made by using 1 cup of **flour **is 18".

To learn more about **graphs**,

#SPJ2

1 cup of flour makes 18 cookies

**Answer:**

66.99 cm³

**Step-by-step explanation:**

the volume = ⅓× 3.14 × 4²× 4 = 3.14 × 64/ 3

= **6****6****.****9****9****cm****³**

**Answer:**

The sum of the series is 3/2

**Step-by-step explanation:**

**Given**

1 + 1/3 + 1/3^2 + ....

**Required**

The sum of the series

**This implies that we calculate the sum to infinity.**

**We have:**

** -- The first term**

**First, calculate the common ratio (r)**

**Change to product**

**Solve**

**The sum of the series is then calculated as:**

**Solve the denominator**

**Express as product**

All we need to do is multiply the price by the tax:

0.045(29590)

1331.55

13.33155

We can round:

**Carlos will pay $13.33 sales tax.**

0.045(29590)

1331.55

13.33155

We can round: