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sdas [7]
3 years ago
8

Find the roots of the equation: y=4(X+4)^2 -12

Mathematics
1 answer:
Dafna1 [17]3 years ago
3 0
0=4(x²+8x+16)-12
0=4x²+32x+64-12
0=4x²+32x+52
0=x²+8x+13
D=b²-4ac
D=64-52=12
x=(-b-√D)/2a
x=(-b+√D)/2a
x=(-8-2√3)/2= (-2(4+√3))/2= -(4+√3)
AND
x=(-8+2√3)/2=-2(4-√3)/2= -(4-√3)
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Tanya [424]

Answer:

-13x^2 + 6x + 11

Step-by-step explanation:

Just subtract the numbers that are similar (i.e. -5x^2 - 8x^2)

6 0
3 years ago
Alex is selling tickets to a school play. An adult ticket costs $6.50 and a student ticket costs $4.00. Alex sells x adult ticke
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3 years ago
Will mark brainliest and 15 points
defon

Step-by-step explanation:

x + y = 9. => 2x + 2y = 18.

2x + 2y = 18

- (2x - 3y = -12)

=> 5y = 30, y = 6.

Therefore x + (6) = 9, x = 3.

The solution is x = 3 and y = 6.

7 0
3 years ago
"During their first swim through a water maze, 15 laboratory rats made the following number of errors (went the wrong way): 2, 1
velikii [3]

Answer:

mean = 7.8, median =5, and mode(s) =5

the shape of the distribution is positive skewed

Step-by-step explanation:

Find the mean, median and mode(s) for

2, 17, 5, 3, 28, 7, 5, 8, 5, 6, 2, 12, 10, 4, 3

the mean = sum of (2, 17, 5, 3, 28, 7, 5, 8, 5, 6, 2, 12, 10, 4, 3)/15 =

              =  7.8          

the median = 2, 2, 3, 3, 4, 5, 5, 5,  6, 7,  8, 10, 12, 17, 28, = the middle value, the 8th value falls in the middle = 5

the mode is the most occurring value = 5

2. Without constructing a frequency distribution or graph, would you characterize the shape of this distribution as balanced, positively skewed, or negatively skewed?

positive skewed or Right skewed because the value of the mean is greater than the median

A right skewed histogram is a positive skewed histogram (which means the tail is longer the positive direction) that have its tail to the right.For a right skewed histogram the mean has a larger value that the median because the peak of the skewness fall in the median range then the mean follow to the right. and the data drive the mean value to the right which increase in value.

Read more on Brainly.com - brainly.com/question/14703862#readmore

5 0
3 years ago
Sarah lost her science book. Her school charges a lost book fee equal to 75% of the cost of the book. Sarah received a notice st
Scorpion4ik [409]

Answer: the school paid $80 for the book.

Step-by-step explanation:

Let x represent the amount that the school paid for the book.

Her school charges a lost book fee equal to 75% of the cost of the book. It means that the amount that the school would charge on a book that cost $x is

75/100 × x = 0.75 × x = 0.75x

Sarah received a notice stating that she owed the school $60 for he lost book. It means that

0.75x = 60

x = 60/0.75

x = $80

3 0
3 years ago
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