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4 years ago

Use the discriminant to describe the roots of each equation. Then select the best description.

Mathematics

1 answer:

just olya [345]4 years ago

5 0

Answer:

imaginary

Step-by-step explanation:

odyssey ware

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What two numbers can add to 4 but multiple to -12

olasank [31]

Answer:

Numbers: 6 and -2

Step-by-step explanation:

Equations

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

$x+y=4\qquad\qquad [1]$

$x.y=-12\qquad\qquad [2]$

Solving [1] for y:

$y=4-x$

Substituting in [2]

$x(4-x)=-12$

Operating:

$4x-x^2=-12$

Rearranging:

$x^2-4x-12=0$

Solving with the quadratic formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

With a=1, b=-4, c=-12:

$\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}$

$\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}$

$\displaystyle x=\frac{4\pm 8}{2}$

The solutions are:

$\displaystyle x=\frac{4+ 8}{2}=6$

$\displaystyle x=\frac{4- 8}{2}=-2$

This confirms the preliminary results.

Numbers: 6 and -2

7 0

3 years ago

This for math. Rewriting Fractions How do you decide which number to use in the Giant One?

ASHA 777 [7]

Answer:

factor of hundred is

100 - 1, 2,4,5,10,100

4 0

3 years ago

The area of the following rectangle is 6O and^4 square meters and its length is 30 and meters

blsea [12.9K]

Answer:35

Step-by-step explanation: uhhhhh google

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4 years ago

An environmental agency studying the effects of drought on a lake found that the water level decreased at a constant rate during

dybincka [34]

"y = -0.6x + 346" is the one equation among the choices given in the question that represents the depth of the lake, y, based on the number of weeks passed, x. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that has helped you.

5 0

3 years ago

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anthony bought an 8 foot board.He cut off 3/4 of the board to build a shelf,and gave 1/3 of the rest to his brother for an art p

e-lub [12.9K]

Convert your feet to inches.
So 8 times by 12 = 96 inches
if you have 3/4 of the board used.
3/4= .75
if you were to times 96 by .75 = 72 inches.
So you used 72 inches and you have 24 inches left

now do 1/3= .33
times .33 by 24= 8
8 inches is how long you would give to Anthony's brother.

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4 years ago

Read 2 more answers