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2 years ago

Write the quadratic equation in factored form. x2 + x - 12 = 0

Mathematics

1 answer:

lapo4ka [179]2 years ago

7 0

Answer:

(x + 4)(x - 3)

Step-by-step explanation:

x^2 + x - 12 = 0

In order to factorise an equation, one must take into consideration the factors of the values in given equation.

In the factored form, the above equation becomes

(x + 4)(x- 3)

Factors of x^2 = x times x

Factors of -12 = +4 x -3

As shown in the factored form above

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Determine the possible rational zeros of this polynomial function using the rational zeros theorem:

sleet_krkn [62]

Answer:

See answer below

Step-by-step explanation:

The possible zeroes are p/q where p is factors of the constant and q is factors of the coefficient of the largest degree.

This means possible zeroes are ±15/4, ±5/4, ±3/4, ±1/4, ±15/2, ±5/2, ±3/2, ±1/2, ±15, ±5, ±3, ±1.

3 0

2 years ago

Find the quadratic function that fits the following data. which one function fits.

Oksana_A [137]

Answer:

Step-by-step explanation:

The general rule for the quadratic function is

$y=ax^2+bx+c$

Use the data from the table:

$y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c$

We get the system of three equations:

$\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.$

Subtract these equations:

$\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.$

From the first equation

$b=-120a$

Substitute it into the second equation:

$5600a+40\cdot (-120a)=70\Rightarrow 800a=70,\\ \\ a=\dfrac{7}{80},\\ \\ b=-120\cdot \dfrac{7}{80}=-\dfrac{21}{2}=-10.5$

So,

$2500\cdot \dfrac{7}{80}+50\cdot (-10.5)+c=130\Rightarrow 218.75-525+c=130\\ \\c=130-218.75+525=436.25$

The quadratic function is

$y=\dfrac{7}{80}x^2-10.5x+436.25\\ \\y=0.0875x^2-10.5x+436.25$

4 0

2 years ago

What’s the correct answer for this ?

Ann [662]

Answer:

8/3

9/11

try it. and send money :)

5 0

1 year ago

What is the perimeter of this tile?

Slav-nsk [51]

Answer:

6x2=12

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Please help! !!!!!!50 POINTS!!!!!!! Question bellow!!

Sergeeva-Olga [200]

Area = πr²
Area = 3.14* 6²
A = 3.14 * 36
A = 113.04

Now find the area of the other one.

<span>Area = πr²
A = 3.14 * 0.75</span>²
A = 1.76625

Now subtract them.

113.04 - 1.76625 = 111.27375
Now, we have our answer: A = <span>111.27375

However, I don't see why they told you to have an exact answer for the area. You can't have an exact answer when you use 3.14 for pi.</span>

7 0

2 years ago

Read 2 more answers