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3 years ago

What graph represents the solution for x^2+x-12>0

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

7 0

Answer: the solution to the inequality is -3 < x < 4. Graphically, this should be (2)

Step-by-step explanation:Note that x^2 - x - 12 factors to (x - 4)(x + 3) < 0, so we have:

(x - 4)(x + 3) < 0.The only way for (x - 4)(x + 3) to be negative is if x - 4 and x + 3 have opposite signs. This only occurs when:

(i) x - 4 < 0 AND x + 3 > 0

==> x < 4 AND x > -3; both occur when -3 < x < 4.

(ii) x - 4 > 0 and x + 3 < 0, which cannot happen at the same time.

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Jensen wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area of 19.75 square feet

Ber [7]

The third choice, 4x²+18x+0.25=0, is correct.

The frame will have the same thickness on both sides of the mirror. Therefore we add 5+x+x to get the total length, and we have 4+x+x to get the total width.

The area is found by multiplying the total width and total length:

A=(5+x+x)(4+x+x)
A=(5+2x)(4+2x)

Multiplying the binomials, we have:
A=5*4+5*2x+2x*4+2x*2x
A=20+10x+8x+4x²
A=20+18x+4x²

We know that the area is 19.75:
19.75=20+18x+4x²

We need quadratics set equal to 0, so subtract 19.75 from each side:
19.75-19.75 = 20+18x+4x²-19.75
0=0.25+18x+4x²

In standard form, it will be:
4x²+18x+0.25=0

6 0

4 years ago

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If pos

elena-14-01-66 [18.8K]

Answer: Find the lowest common denominator of the 2 denominators

Step-by-step explanation:

The common in both denominator is 15.

3: 3,6,9,12,15,18,21,24,27,30

5: 5,10,15,20,25.30,35,40,43,50

Since 5x3 is 15, 1/5 x 3/3= 3/15

Since 3x5 is 15, 2/3 x 5/5= 10/15

3/15 is equivalent to 1/5 and 10/15 is equivalent to 2/3.

3/15 + 10/15 is equal to 13/15

13/15 can't be simplified because they are both odd numbers and they have less than 2 factors.

Hope this helped! Have a nice day! :D

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3 years ago

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Gwar [14]

Answer: English?>

Step-by-step explanation:

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3 years ago

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Aleonysh [2.5K]

Answer:

16320

solution: 12 / 1/4 = 3.

4 divided by 1/4 = 20

4 1/4 divided by 1/4 = 17.

3 x 20 x 17 =

the answer is 16320.

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dmitriy555 [2]

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