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3 years ago

What are the answers to the following quadratic equation: x^2-4x-12

Mathematics

2 answers:

Alla [95]3 years ago

6 0

Answer:

6 and -2

Step-by-step explanation:

x^2-4x-12

set up equal to zero

x^2-4x-12=0

lets factor:

(x-6)(x+2)=0

x-6=0

x=6

x+2=0

x=-2

Fiesta28 [93]3 years ago

5 0

Answer:

x=6 x=-2

Step-by-step explanation:

x^2-4x-12 = 0

Factor

What two numbers multiply to -12 and add to -4

-6*2 = -12

-6+2 = -4

(x-6)(x+2) =0

Using the zero product property

(x-6) =0 x+2 = 0

x=6 x=-2

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Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.

natka813 [3]

Suppose that the height (in centimeters) of a candle is a linear function of

the amount of time (in hours) it has been burning.

Let x be the amount of time in hours

Let y be the heoght of a candle in centimeters

The two points are then as (9,24.5) and (23,17.5).

$\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(9,\:24.5\right)\mathrm{,\:}\left(23,\:17.5\right)$

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(9,\:24.5\right),\:\left(x_2,\:y_2\right)=\left(23,\:17.5\right)$

$m=\frac{17.5-24.5}{23-9}$

$m=-0.5$

$\mathrm{Plug\:the\:slope\:}-0.5\mathrm{\:into\:}y=mx+b$

$y=\left(-0.5\right)x+b$

$\mathrm{Plug\:in\:}\left(9,\:24.5\right)\mathrm{:\:}\quad \:x=9,\:y=24.5$

$24.5=\left(-0.5\right)\cdot \:9+b$

$-4.5+b=24.5$

$b=29$

$\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=-0.5\mathrm{\:and\:}\mathbf{b}=29$

$y=-0.5x+29$

Now plug in x=21, we get

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3 years ago

Finding a parametric description of the solution set of a linear system is the same as solving the system.Choose the correct ans

Grace [21]

Answer:

The answer is "Choice B".

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, in all choices, the choice (B) is Correct because in the declaration of the statement Only when the process has had at least another answer could a candidate solution for more than just a linear model explicitly uses a parametric description that's why the given statement is true.

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3 years ago

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olga55 [171]

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3 0

3 years ago

The sum of 4 twelves and 7 sixteens

dolphi86 [110]

Answer: 160

Step-by-step explanation:

So here they are telling you that there are 4 twelves, a.k.a 4 groups of 12. Which means that you have to multiply 4 x 12 = 48

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Which also means that you have to multiply 7 x 16 = 112

Add both numbers and there you have your answer!

I hope you found my answer helpful! :)

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3 years ago

Choose the expression that represents a cubic expression.

Anna007 [38]

Answer:

10x³ - 6x² - 9x + 12 is a cubic expression ⇒ 2nd

6x + 6 is a linear expression ⇒ 1st

5x² + 9x - 1 is a quadratic expression ⇒ 2nd

Quadratic expression ⇒ 1st

Step-by-step explanation:

* Lets explain the degree of any expression

- The degree of any expression is the greatest power of the variable

- Ex:

# 3x - 3 is a first degree expression

# x² - 3x + 2 is a second degree expression

# 5x³ - 2x² + 5x - 2 is a third degree expression

- The first degree expression is called linear expression

- The second degree expression is called quadratic expression

- The third degree expression is called cubic expression

* Lets solve the problem

∵ The cubic expression is the expression with greatest power of 3

∴ 10x³ - 6x² - 9x + 12 is the cubic expression

∵ The linear expression is the expression with greatest power of 1

∴ 6x + 6 is a linear expression

∵ The quadratic expression is the expression with greatest power of 2

∴ 5x² + 9x - 1 is a quadratic expression

∵ The expression is -2x² + 11

∵ The greatest power of x is 2

∴ -2x² + 11 is a quadratic expression

3 0

3 years ago

Read 2 more answers