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Serjik [45]
4 years ago
8

What is the x of 2/3x squared minus 6x plus 15

Mathematics
1 answer:
iogann1982 [59]4 years ago
4 0
(2/3)x^2 -6x + 15 = 0
Using the quadratic formula:
x = [-b +-sq root(b^2 - 4 *a*c)] / 2a
x= [--6 +-sq root(36 -4*(2/3)*15] / 2*(2/3)
x= [6 +-sq root 36 -40] / (4/3)

x1 = 4.5 + (2i / (4/3))
x1 = 4.5 + 1.5i
x2 = 4.5 - (2i / (4/3))
x2 = 4.5 - 1.5i




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Part A: There are five buttons in all in all in the given item. The item above can be answered through the fundamental principles of counting. 

There are 5 items to choose from during the first pick. Because the shape can be returned and picked again, there are also 5 items to choose from in the second pick. Multiplying them,
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Therefore, the sample size for the compound event is equal to 25.

Part B: The same concept can be used in this part of the item; however, instead of 5 there are 6 buttons to choose from.
                              n = 6 x 6 = 36

Hence, the sample size of this picking process is 36. 
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4 years ago
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What is the simplified form of (6^2+4)-15
suter [353]
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Ms. Murray asked her twenty students how many national parks each of them had visited.
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A line passes through the point (4,-6) and he a slope -3/4. Which is the equation of the line?
ANEK [815]

Answer:

The equation of the line is 3x + 4y + 12 = 0

Step-by-step explanation:

given \: that \: the \: line \: passes \: through \: (4 , - 6) \\ and \: has \: the \: slope \: of \:  \frac{ - 3}{4}  \\ the \: equation \: of \: the \: line \: is \\ y - y1 = m(x - x1) \\ here \: x1 = 4 \:  \:  \: y1 =  - 6 \:  \: and \: m =  \frac{ - 3}{4}  \\ on \: substituting \: the \: values \: in \: formula \\ y - ( - 6) =  \frac{ - 3}{4} (x - 4) \\ y + 6 = \frac{ - 3}{4} (x - 4)  \\ 4(y + 6) =  - 3(x - 4) \\ 4y + 24 =  - 3x + 12 \\ 3x + 4y + 24 - 12 = 0 \\ 3x + 4y + 12 = 0

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS</em><em> </em><em>FOR GIVING ME THE OPPORTUNITY TO</em><em> </em><em>ANSWER YOUR QUESTION</em><em>. </em>

8 0
3 years ago
Can someone help me with this?
natulia [17]

Answer: 48 square units

Step-by-step explanation:

8 * 12 = 96

The square is 96 square units.

6 * 8 = 48/2 = 24

24 is the shaded region of 1 of the triangles.

24 * 2 = 48.

The total shaded region is 48 square units.

6 0
3 years ago
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