A quadratic equation is shown below:x2 − 14x + 41 = 0

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

A. Add 8 to both sides of the equation
B. Add 9 to both sides of the equation
C. Subtract 8 from both sides of the equation
D. Subtract 9 from both sides of the equation

Answers

Answer 1

Answer: Hello,

Answer A

x²-2*7*x+41+8=8
==> (x-7)²=8

Related Questions

Find the average speed of a horse that traveled east for 25 km in 4 hours
Dora drew JKL and MNP so that K N, JK = 6, MN = 18, KL = 4, and NP = 12. Are JKL and MNP similar? If so, identify the similarity postulate or theorem that applies.
How do I rewrite 3x+2y-4=2(5-y) so that y is a function of x?
Use the table below to answer the following question.2. Do the values in the table represent a linear function? If so, what is the function rule?(1 point)The values do not show a linear function.Yes, the values show a linear function: y = x + 4.Yes, the values show a linear function: y = 2x + 2.Yes, the values show a linear function: y = 2x.
A movie rental store charges a membership fee of $10.00 plus $1.50 per movie rented. What is a possible domain that shows the cost to a member of renting movies? A) The domain is all integers. B) The domain is all even integers. C) The domain is all integers 0 or greater. D) The domain is all integers 10 or greater.

Find the value of x , if log₂ [log₅ (log₃x)] = 0

Answers

$\log_2 (\log_5( \log_3x)) = 0\n D:x>0 \wedge \log_3x>0 \wedge \log_5(\log_3x)>0\n D:x>0\wedge x>1 \wedge\log_3x>1\n D:x>1 \wedge x>3\n D:x>3\n \log_5(\log_3x)=1\n \log_3x=5\n x=3^5\n x=243$

3х – 13 = 23
Please give an explanation to the answer

Answers

Answer:

x = 12

Step-by-step explanation:

This equation is very easy to solve.

3x - 13 = 23 Add 13 to both sides of the equation.

3x = 36 Divide by 3 on both sides of the equation.

x = 12

Then, check your answer by substituting the solved value.

3(12) - 13 = 23

36 - 13 = 23

23 = 23

Therefore, x = 12 is the solution to the equation.

Answer:

x = 12

Step-by-step explanation:

3x - 13 = 23

Bring non-variable numbers to other side:

3x = 36

Divide both sides by 3:

x = 12

NEED THE ANSWER FAST

Answers

Your answer is correct! Of the students who live more than one mile away, about 32% ride a bike!

5.Twenty-four dogs are in a kennel. Twelve of the dogs are black, six of the dogs haveshort tails, and fifteen of the dogs have long hair. There is only one dog that is black with
a short tail and long hair. Two of the dogs are black with short tails and do not have long
hair. Two of the dogs have short tails and long hair but are not black. 6 dogs are only
black. How many dogs are black with long hair but do not have short tails. How many
have only Long hair?

Answers

Answer:

Step-by-step explanation: yes

Final answer:

There are 3 black dogs with long hair but do not have short tails and 12 dogs that have only long hair.

Explanation:

The problem at hand relates to the field of set theory and involves operations such as counting and deduction. The first step is to organize the data into different categories of dogs: black dogs, dogs with short tails, and dogs with long hair. Thereafter, we combine the categories based on the additional information provided.

Firstly, there 12 black dogs. Of these, 1 dog has a short tail and long hair, 2 dogs have short tails and no long hair, and 6 dogs are only black. This sums up to 9 dogs. Thus, there are 12-9 = 3 black dogs with long hair but do not have short tails.

Secondly, 15 dogs have long hair. Among these, 1 dog is black with a short tail, and 2 dogs have short tails but are not black. This sums up to 3 dogs, leaving 15-3= 12 dogs with only long hair.

Learn more about Set theory here:

brainly.com/question/35494444

#SPJ2

Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.208 + 10x = 36x

How many purses must she sell in order to break even?

Answers

Answer:

Step-by-step explanation:

You want to isolate x so that you can solve for it based on the value you have.

This gives you 26x=208. 208/26 equals 8

Answer:

D) 8

Step-by-step explanation:

edge2020

Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data in a table. What are the least and greatest weights of the potatoes in the data set?