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lakkis [162]
3 years ago
10

Factor -4x^2+16x-24 completely

Mathematics
2 answers:
Lana71 [14]3 years ago
8 0
-4x²+16x-24=-1(4x²-16x+24)=-4(x²-4x+6)
x²-4x+6 has no real roots. ☺☺☺☺
Troyanec [42]3 years ago
4 0
Let's complete the square (as this is actually how the quadratic formula is derived)

-4x^2+16x-24=0  make the leading coefficient equal to 1 by dividing the entire equation by -4

x^2-4x+6=0, move the constant to the other side by subtracting 6 from both sides

x^2-4x=-6, halve the linear coefficient, square it, then add it to both sides, (-4/2)^2=4

x^2-4x+4=-2  now the left side is a perfect square

(x-2)^2=-2  now take the square root of both sides

x-2=±i√2  note the imaginary unit i as there is no real square root of -2, now add 2 to both sides

x=2±i√2 so the factored quadratic is:

(x+2-i√2)(x+2+i√2)

Note that these are not real factors, if you were to graph the original equation, it will never intersect with the x-axis...
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Which one is the even number:<br> 116,318,162,230,180,155
Blababa [14]

Answer:

they are all even numbers except for 155

Step-by-step explanation:

8 0
3 years ago
Mean for 16, 12, 13, 22
pishuonlain [190]

Answer:

mean = sum of the terms/total no. of terms

mean = (16+12+13+22)/4

mean = 63/4 or 15.75

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3 years ago
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On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she ha
Sveta_85 [38]

Answer:

a. P(X=50)= 0.36

b. P(X≤75) =  0.9

c. P(X>50)=  0.48

d. P(X<100) = 0.9

Step-by-step explanation:

The given data is

x                      25        50       75        100          Total

P(x)                0.16       0.36    0.38    0.10          1.00

Where X is the variable and P(X) = probabililty of that variable.

From the above

a. P(X=50)= 0.36

We add the probabilities of the variable below and equal to 75

b. P(X≤75) = 0.16+ 0.36+ 0.38= 0.9

We find the probability of the variable greater than 50 and add it.

c. P(X>50)= 0.38+0.10=  0.48

It can be calculated in two ways. One is to subtract the probability of 100 from total probability of 1. And the other is to add the probabilities of all the variables less than 100 . Both would give the same answer.

d. P(X<100)= 1- P(X=100)= 1-0.1= 0.9

8 0
3 years ago
How do i resolve this?
EleoNora [17]
Solve for y for both equations then equate and solve:

5x + 9y = 160
9y = 160 - 5x
y = 160/9 - 5/9x

9x + 8y = 202
8y = 202 - 9x
y = 202/8 - 9/8x

160/9 - 5/9x = 202/8 - 9/8x (common denominator is 72)

1280/72 - 40/72x = 1818/72 - 81/72x
1818/72 - 1280/72 = 81/72x - 40/72x
538/72 = 41/72x
538 = 41x
538/41 = x
x = 13 5/41
3 0
3 years ago
Debby, Ella and Unique invest $10,000 each into an oil company. Debby owns 2000 $1 common stocks, Ella owns 1000 of 5% $50 prefe
Mashutka [201]

Answer:

Ella has the greatest return in the current year.

Step-by-step explanation:

Debby would receive $0.80 for each of her 2000 common stock in the oil company,hence Debby's return on investment in the current year is $1600($0.80*2000)

Besides,Ella's return on the stock investment in the current year is computed thus:

Ella's return= 5%*1000*$50=$2,500

In addition,Unique's dollar return on the investment is computed as follows:

Unique's return on  investment=4%*2000*$20=$1,600

From the above computations,Ella seems to have the highest return in the current year of $2,500 whereas the two others managed to have $1600 return each

5 0
3 years ago
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