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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1.488 divided by 2.1 rounded to nearest tenth

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A statistical method called regression links a dependent variable to one or more independent (explanatory) variables.

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A) Models for numerical response variable, like ANOVA and linear regression are special cases of GLMs

for these model the following holds

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GLMs can generalise these models with response Y as normally distributed, hence the statement is True

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Please explain as well 4x+3y=24 6x+5y=346x+5y=34 x= y=

Answers

Answer:

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Step-by-step explanation:

4x + 3y = 24 . (-5) ------> -20x -15y = -120 (A)

6x + 5y = 34 . (3) -------> 18x + 15y = 102 (B)

(A) + (B) ----------> -2x = -18 ---------> x = 9

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Answers

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Answers

Step-by-step explanation:

16. d-4 = -7

or, d = -7+4

or, d = -3

therefore, d = -3.

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or, c = 20+34

or, c = 54

therefore, c = 54

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or, a = -14

therefore, a = -14

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therefore, r = 11

20. z-100 = 100

or, z = 100+100

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21. 5 = d - 1

or, 5+1 = d

or, 6 = d

or, d = 6

therefore, d = 6