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elixir [45]
3 years ago
6

Show all work to solve 3x2 − x − 2 = 0.

Mathematics
2 answers:
AfilCa [17]3 years ago
3 0

Answer:

x=-2/3 and 1

Step-by-step explanation:

3x^2-x-2=0

(3x+2)(x-1)

3x=-2

x=-2/3

x=1

xxMikexx [17]3 years ago
3 0

Answer:

Step-by-step explanation:

3x^2-x-2=0

(3x+2)(x-1)

3x=-2

x=-2/3

x=1

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Short Response
garik1379 [7]

Answer:

(a)2(89x+84)

(b)2(89x+84-x^2\pi)

Step-by-step explanation:

The dimensions of the larger rectangular field are:

  • Length=5x + 12; Width = 9x + 14.

The dimensions of the smaller rectangular soccer field are:

  • Length=5x; Width = 9x.

(a)Area of the part of the field that is outside the soccer field

=Area of the larger rectangular field - Area of the Soccer Field

=(5x+12)(9x+14)-5x(9x)

=(5x)(9x)+70x+108x+168-5x(9x)

=178x+168

=2(89x+84)

(b)Radius of the Semicircular Fountain =2x

From Part (a),

Area of the larger rectangular field - Area of the Soccer Field=178x+168

Area of the Semicircular Fountain =\dfrac{\pi r^2}{2} =\dfrac{\pi (2x)^2}{2} =\dfrac{4x^2\pi}{2} =2x^2\pi

Area of the Field that does not include the soccer  field or the fountain.

=Area of the larger rectangular field - Area of the Soccer Field-Area of the Semicircular Fountain

=178x+168-2x^2\pi\\=2(89x+84-x^2\pi)

8 0
3 years ago
The measure of an angle is 27°. What is the measure of its supplementary angle?
Leya [2.2K]

Answer:

153 degrees is the measure of the supplementary angle

3 0
3 years ago
Alex invests $12,500 in a savings account that pays 5% interest compounded quarterly. Approximately how much money will he have
Gala2k [10]
<span>A = P (1 + r/n)<span> (nt)
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P<span> = (the initial deposit or loan amount)</span>
r<span> = the annual interest rate (decimal)</span>
n<span> = the number of times that interest is compounded per year</span>
t<span> = the number of years the money is invested 
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8 0
3 years ago
Using the probability scale, what is the probability that a spinner with 4 equal parts numbered 1-4 will land on the 1 on the ne
Greeley [361]

Answer:

B

Step-by-step explanation:

Just ask!

6 0
2 years ago
What is the general form of the equation of the line shown?<br> Ox+y=0<br> Ox-y=0<br> Ox-y=0
mixer [17]

Answer:

x-y=0

Step-by-step explanation:

7 0
3 years ago
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