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Ede4ka [16]
3 years ago
13

Rewrite the following quadratic functions in intercept or factored form. Show your work.

Mathematics
2 answers:
Dmitry [639]3 years ago
7 0

<u>Answer: </u>

f(x) = 3(x+2)(x-2)

<u>Step-by-step explanation: </u>

We are given the following the quadratic function and we are to rewrite it in intercept or factored form:

f(x) = 3x^2 - 12

We can factorize the given function so taking the common factors out of it to get:

f(x)=3x^2 - 12

f(x) = 3 (x^2 - 4)

The term (x^2-4) is in the form a^2-b^2 so it can further be factorized to give:

f(x) = 3 (x+2)(x-2)

Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).


aliya0001 [1]3 years ago
3 0

Answer:

3(x-2)(x+2)

Step-by-step explanation:

Given equation is :

f(x) = 3x²-12

We have to rewrite the given function in factored or intercept form.

Since, we know that 3 and 12 are multiples of 3.

taking 3 as common , we get

f(x) = 3(x²-4)

using differernce formula in above equation , we get

a²-b² = (a-b)(a+b)

f(x) = 3(x-2)(x+2)

Hence, the given factors are 3,(x-2) and (x+2).

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8 0
3 years ago
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Jane is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a number
sleet_krkn [62]

Answer:

The expected value of playing the game is $0.75.

Step-by-step explanation:

The expected value of a random variable is the weighted average of the random variable.

The formula to compute the expected value of a random variable <em>X</em> is:

E(X)=\sum x\cdot P(X=x)

The random variable <em>X</em> in this case can be defined as the amount won in playing the game.

The probability distribution of <em>X</em> is as follows:

Number on spinner:   1           2           3          4           5              6

Amount earned (<em>X</em>):   $1        $4         $7        $10     -$8.75     -$8.75

Probability:                 1/6       1/6         1/6        1/6         1/6           1/6

Compute the expected value of <em>X</em> as follows:

E(X)=\sum x\cdot P(X=x)

         =(1\times \frac{1}{6})+(4\times \frac{1}{6})+(7\times \frac{1}{6})+(10\times \frac{1}{6})+(-8.75\times \frac{1}{6})+(-8.75\times \frac{1}{6})

         =\frac{1}{6}+\frac{4}{6}+\frac{7}{6}+\frac{10}{6}-\frac{8.75}{6}-\frac{8.75}{6}

         =\frac{1+4+7+10-8.75-8.75}{6}

         =0.75

Thus, the expected value of playing the game is $0.75.

5 0
3 years ago
HELP ASAP PLZ :)
Natalija [7]

for the triangle...

b=2h

a=(1\2).bh=648

(1/2).2h.h=648

h2=648

h-18|2 in

h=36|2 in

for the rectangle...

L=3+w

a=l+w=648

{3+w}w=648

w2+3w-648=0

Only positive W values make sense here..

w-24=0

w=24 in

So..

L=3+24

3 0
3 years ago
Si la época prehistórica sucedió desde hace 2.5 millones de años a.C., hasta hace 2.500 años a.C.; el período Paleolítico (2.5 m
tia_tia [17]

Answer:

El período paleolítico corresponde a \frac{332}{333} de la época prehistórica.

Step-by-step explanation:

En primer lugar, se determina la extensión de tiempo, medida en años, tanto de la época prehistórica como el período paleolítico: (Nótese que el signo negativo significa a.C.)

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\Delta T = -2500-(-2500000)

\Delta T = 2497500\,years

Período Paleolítico

\Delta t = -10000 - (-2500000)

\Delta t = 2490000\,years

La fracción de la época prehistórica que corresponde al período paleolítico es:

r = \frac{\Delta t}{\Delta T}

r = \frac{2490000\,years}{2497500\,years}

r = \frac{332}{333}

El período paleolítico corresponde a \frac{332}{333} de la época prehistórica.

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3 years ago
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The equation would be x+3x(10+2x)=142
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