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

If a gardener fences in the total rectangular area shown in the illustration instead of just the square area, he will needtwice as much fencing to enclose the garden. How much fencing will he need? 34 ft

let d equal the distance in meters and t equal the time in seconds. Which is a direct variation equation for this relationship

A bookstore keeps track of books sold in one day? Approximately how many books sold were hardcover nonfiction?

Robin can clean 727272 rooms in 666 days. how many rooms do she clean in 9 days

Which choice could be modeled by a linear function? A. The amount, y, of radioactive material remaining after x years when decay occurs at rate 30% each year. B. The amount of money, y, In an account after x years earning 4% interest compounded annually. C. The height, y, of a ball after bouncing x times, if each bounce reaches 2/3 the previous height.D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute.

let d equal the distance in meters and t equal the time in seconds. Which is a direct variation equation for this relationship

A bookstore keeps track of books sold in one day? Approximately how many books sold were hardcover nonfiction?

Robin can clean 727272 rooms in 666 days. how many rooms do she clean in 9 days

Which choice could be modeled by a linear function? A. The amount, y, of radioactive material remaining after x years when decay occurs at rate 30% each year. B. The amount of money, y, In an account after x years earning 4% interest compounded annually. C. The height, y, of a ball after bouncing x times, if each bounce reaches 2/3 the previous height.D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute.

B. It must be greater than or equal to 6 and at most 24.

C. It must be greater than 6 and less than 24.

D. It must be greater than 6 and at most 24.

Your answer is B

As the sum of any 2 lengths of a triangle is always greater than the third length

Hope it helps ♥

As the sum of any 2 lengths of a triangle is always greater than the third length

Hope it helps ♥

**Answer: Its C**

**Step-by-step explanation: Just took unit test**

**Answer:**

Type II error

**Step-by-step explanation:**

Let's remember the definition of Type I error and Type II error:

**A type I error** is the rejection of a true null hypothesis, this means that we would get a "false positive" with this error.

**A type II error** is the non rejection of a not true null hypothesis, this error would give us a "false negative".

In this problem the mean number of insect parts per 100 grams is 75. However, the test fails to show that this number is greater than 75 when it is, this means that the test is not detecting these insect parts and therefore is giving a "false negative"

Thus, this is a Type II error.

This situation is an example of a Type II error. This occurs when the test fails to reject the null hypothesis when it should be rejected. In this context, it means the test was unable to detect the actual average content of insect parts is higher than the allowable limit.

The situation presented constitutes a **Type II error** in the field of hypothesis testing in statistics. A **Type II error** occurs when the tester fails to reject the null hypothesis when it should be rejected. In this context, it means the test failed to show that the mean number of insect parts per 100 grams is greater than 75, when in fact, it is. This can potentially mean allowing more contaminated flour into the market because the test did not pick up on the true mean being higher than 75 insect parts per 100 grams.

#SPJ11

2

3

5

7

35

so which are factors and which are not

**Answer:**

Factors:

1, 5, 7, 35

Non-Factors:

2, 3

**Step-by-step explanation:**

Simplified expression-?

Value-?

The expression 3x + 7x - 28 + 31 - 8x simplifies to 2x + 3. When x equals 2043, the value of the **Simplifying Expression** is 4089.

The given expression is 3x + 7x - 28 + 31 - 8x.

To simplify the expression, we first **group together** the like **terms**.

Thus, the expression becomes (3x + 7x - 8x) + (31 - 28).

This simplifies further to 2x + 3.

Next, to find the **value** of the expression for x = 2043, we substitute 2043 for x into the simplified expression, resulting in 2*2043 + 3 = 4089.

Therefore, the simplified version of the expression is 2x + 3 and the value of the expression for x = 2043 is 4089.

Learn more about **Simplifying Expression** here:

#SPJ3

The answer is 16347 hope this helps

Answer:120?

Step-by-step explanation:

I got d(4d2+3d−14) hope it help