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3 years ago

When completely factored x²-x-12 is equivalent to which of the following

Mathematics

1 answer:

QveST [7]3 years ago

4 0

Answer:

$→{x}^{2} - x - 12 \\ = {x}^{2} - 4x + 3x - 12 \\ = x(x - 4) + 3(x - 4) \\ = \boxed{ (x - 4)(x + 3)}✓$

D. (x - 4)(x + 3) is the right answer.

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nalin [4]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

Identify the Type II error if the null hypothesis, H0, is: The capacity of Anna's car gas tank is 10 gallons. And, the alternati

Elina [12.6K]

Answer:

20gallons

Step-by-step explanation:

6 0

3 years ago

Evaluate the spherical coordinate integral

expeople1 [14]

Rewrite the equations of the given boundary lines:

y = -x + 1 ==> x + y = 1

y = -x + 4 ==> x + y = 4

y = 2x + 2 ==> -2x + y = 2

y = 2x + 5 ==> -2x + y = 5

This tells us the parallelogram in the x-y plane corresponds to the rectangle in the u-v plane with 1 ≤ u ≤ 4 and 2 ≤ v ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

$J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3$

Rewrite the integrand:

$-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3$

The integral is then

$\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}$

5 0

3 years ago

I really don't understand this honestly. Please help lol

klasskru [66]

Answer:

300

Step-by-step explanation:

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6 0

2 years ago

Please help :0

Zinaida [17]

Mult. f(x) = x^4 by 2 will stretch the graph vertically by a factor of 2.
Thus, eliminate (a) and (b).

Mult. x by (1/4) will stretch the graph horiz. by a factor of 4. Thus, (c) is the correct answer.

5 0

3 years ago