<span>(x+4)(x+1) = m+2x
x² + 5x + 4 − m − 2x = 0
x² + 3x + (4−m) = 0
Quadratic equation has exactly one real solution
when discriminant = 0
b² − 4ac = 0
3² − 4(1)(4−m) = 0
9 − 16 + 4m = 0
−7 + 4m = 0
4m = 7
m = 7/4
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Second problem:
Line y = 3 intersects graph of y = 4x² + x − 1 at point A and B
y-coordinates of points A and B = 3, since they are both on line y = 3. We need to find x-coordinates
4x² + x − 1 = 3
4x² + x − 4 = 0
x = (−1 ± √(1−4(4)(−4))) / 8
x = (−1±√65) / 8
AB = (−1+√65)/8 − (−1−√65)/8 = 2√65/8 = √65/4 = √(65/16)
m−n = 49</span>
I have take the answer from internet, I hope it help
Answer:
55.6
Step-by-step explanation:
The mean is found by adding all the numbers together, and dividing by the amount of numbers there are. Note you must round to the tenths place.
(50 + 52 + 52 + 55 + 56 + 56 + 56 + 58 + 58 + 59 + 60)/11
First, combine and add all terms within the parenthesis, and then divide:
(612)/11 = 55.63... , or 55.6 (rounded to the nearest tenth place).
55.6 is your answer.
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There are 4 rectangles; 3 of them are colored in, one of them are blank. this makes 3/4
Answer:
18
Step-by-step explanation:
