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

Answers

Answer 1
Answer:

Answer:

The correct answer is the first option

Step-by-step explanation:

Quadratic Equation

The standard form of a quadratic equation is

ax^2+bx+c=0

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

(x-p)^2=q

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

x^2-14x+41=0

Recall the square of a binomial is

(x-p)^2=x^2-2px+p^2

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

-2px=-14x

Solving

p=7

Now we need to produce the third term p^2=49. We only have 41, thus we need to add 8 to both sides of the equation:

x^2-14x+41+8=0+8

The correct answer is the first option


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Plz, help! Due soon! You have just been hired as New York’s premier Real Estate Agent! In your company, you will make a 7% commission. The real estate market in New York is booming! As the realtor calculates your potential commission if you sell the property for list price.

If the listing price for Candy Cane Creek is $864, 550, how much commission would you receive?

Answers

Answer

$60,515:

Step-by-step explanation:

Answer:

$60,515:

..............

Determine whether the lines are parallel, perpendicular, or neither. Justify your answer. y = 2x - 8Y = 1/2x + 6
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Answers

Answer:

perpendicular

Step-by-step explanation:

it is perpendicular because you flipped and negative the slope. if it was parallel the slope would be the same with no negative

I need help plz plz plz help me ASAP. And SHOW YOUR WORK

Answers

r= 8

C= 2,5•r+15
C= 2,5•8+15
C= 20+15
C= 35


Nina's total cost will be 35 $, £, € (i don't know which of them)

Answer:

The cost of the wristband for 8 rides is $35.

Step-by-step explanation:

The expression for the cost, C, for r rides is

C = 2.5r + 15

Since she wants to go on 8 rides, r is 8.

Substitute r with 8 in the cost equation and evaluate it.

C = 2.5r + 15

C = 2.5 * 8 + 15

C = 20 + 15

C = 35

The cost of the wristband for 8 rides is $35.

Evaluate the expression 2x2 - yl yl + 3xº for x = 4 and y = 7​

Answers

Answer:

replace the given values of x and y

Step-by-step explanation:

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3+ 6 x{( 15 +9)=3-2}. Rajah got 49 while Obet got 39. Whose answer was correct? Prove your answer.asap i need it pls i need solution​

Answers

Answer:

  • 39, Obet is right

Step-by-step explanation:

  • I guess the = should be ÷ or else it doesn't make sense.

Simplify in steps considering the hierarchy of operations:

  • 3 + 6 × {(15 + 9) ÷ 3 - 2} =                  Parenthesis
  • 3 + 6 × {24 ÷ 3 - 2} =                         Parenthesis, division
  • 3 + 6 × {8 - 2} =                                 Parenthesis, subtraction
  • 3 + 6 × 6 =                                         Multiplication
  • 3 + 36 =                                             Addition
  • 39

Help Me! I don't understand this problem!

Answers

Answer: A) -0.83

Without the actual numeric data coordinates, it is impossible to compute the true r value. Though we can estimate. The data points are negatively correlated in a fairly strong manner. We can draw a straight line close to all of these points, so the r value is going to be fairly close to -1. The closer r is to -1, the stronger the negative correlation. Having r = -1 exactly means all of the points fall on some single straight line that slopes downward.

Choice B is the next best choice, but its correlation isn't as strong. So that's why I ruled it out. Choices C and D are ruled out immediately since they are positive values.