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3 years ago

What are the zeros of f(x) = x2 - 12x + 36?

Mathematics

1 answer:

topjm [15]3 years ago

8 0

Answer:

c. x = 6 only

Step-by-step explanation:

In order to calculate the zeros of f(x), we need to set it equal to zero and find the corresponding values of x.

$x^{2}-12x+36=0$

Using the midterm breaking, we can split -12x into two such terms whose sum will be -12x and product will be 36x². These two terms are -6x and -6x

So, the above expression can be written as:

$x^2-6x-6x+36=0\\\\ x(x-6)-6(x-6)=0\\\\ (x-6)(x-6)=0\\\\ (x-6)^{2}=0\\\\ x-6=0\\\\ x=6$

This means, the zero of f(x) occurs at x = 6 only.

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Solve using the quadratic formula 2x^2+x+67=0

telo118 [61]

Answer:

$\displaystyle x=\frac{-1 \pm i\sqrt{535}}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Multiple Roots
Standard Form: ax² + bx + c = 0
Quadratic Formula: $\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

Algebra II

Imaginary Root i = √-1

Step-by-step explanation:

Step 1: Define

Identify

2x² + x + 67 = 0

a = 2

b = 1

c = 67

Step 2: Solve for x

Substitute in variables [Quadratic Formula]: $\displaystyle x=\frac{-1 \pm \sqrt{1^2-4(2)(67)}}{2(1)}$
Multiply: $\displaystyle x=\frac{-1 \pm \sqrt{1^2-4(2)(67)}}{2}$
[√Radical] Evaluate exponents: $\displaystyle x=\frac{-1 \pm \sqrt{1-4(2)(67)}}{2}$
[√Radical] Multiply: $\displaystyle x=\frac{-1 \pm \sqrt{1-536}}{2}$
[√Radical] Subtract: $\displaystyle x=\frac{-1 \pm \sqrt{-535}}{2}$
[√Radical] Simplify: $\displaystyle x=\frac{-1 \pm i\sqrt{535}}{2}$

3 0

3 years ago

Someone who isn't a bot, please answer this.

lesantik [10]

Answer:

answer is here

Step-by-step explanation:

https://www.mathpapa.com/algebra-calculator.html

4 0

3 years ago

How? I'm so lost, alsphfbnslq

Archy [21]

$D:x-1>0\\
D:x>1\\
\log_3(x-1)=2\\
3^2=x-1\\
9=x-1\\
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4 0

3 years ago

How Sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures

miskamm [114]

Answer / Step-by-step explanation:

To answer this questions, we first try to understand and the basic terms in the narrative. This includes

Response variable: is a variable that measures an outcome or result of a study. In summary, we can say response variable are objects that respond to various changes made during an experimentation process.

Explanatory variable: This is a variable that practically explains the causes of changes in the response variables

So consequentially, if we refer back to the asked question,

EXPLANATORY VARIABLE can be likened to be = Water Temperature

RESPONSE VARIABLE can be likened to be = Weight

Categorical variables places the individuals into a category, while a quantitative variable is a numerical variable.

So consequentially, if we refer back to the asked question,

Water Temperature = Quantitative

Weight = Quantitative

8 0

3 years ago

Solve for x. 9(x + 2) = x - 6

jeyben [28]

Answer:

9(x + 2) = x - 6

9x+18=x-6

9x-x=-18-6

8x=-24

x=-24/8=-3 is your answer

4 0

3 years ago