Step-by-step explanation:
4x+3x=140
7x=140
x=140/7
x=20
4x=80
3x=60
The baby gains 3.25lbs in the last 4 months.
This problem can be solved by simple subtraction. Take the total amount and subtract the 4 month increments in order to find the find 4 months.
Total = 1st 4 months + 2nd 4 months + 3rd 4 months
11 = 4.25 + 3.5 + 3rd 4 months
11 = 7.75 + 3rd 4 months
3.25 = 3rd 4 months
To find the relative frequency of something, take the frequency and divide by the total number of data values.
Total number of data values = 1170
Row one: relative frequency = 5 / 1170 = 0.0043
Row two: relative frequency = 17 / 1170 = 0.0145
Row three: relative frequency = 52 / 1170 = 0.0444
Row four: relative frequency = 118 / 1170 = 0.1009
Row five: relative frequency = 172 / 1170 = 0.1470
Row six: relative frequency = 232 / 1170 = 0.1983
Row seven: relative frequency = 219 / 1170 = 0.1872
Row eight: relative frequency = 172 / 1170 = 0.1470
Row nine: relative frequency = 95 / 1170 = 0.0812
Row ten: relative frequency = 57 / 1170 = 0.0487
Row eleven: relative frequency = 23 / 1170 = 0.0197
Row twelve: relative frequency = 8 / 1170 = 0.0068
Answer:
To solve this problem, we need to use the following two facts:
1) If a quadratic equation has integer coefficients only, and if one of the roots is a + √b (where a and b are integers), then a - √b is also a root of the equation.
2) If r and s are roots of a quadratic equation, then the equation is of the form x^2 – (r +s)x + rs = 0.
Since we know that 1 - √2 is a root of the quadratic equation, we can let:
r = 1 + √2
and
s = 1 - √2
Thus, r + s = (1 + √2) + (1 - √2) = 2 and rs = (1 + √2)(1 - √2) = 1 – 2 = -1.
Therefore, the quadratic equation must be x^2 – 2x – 1 = 0.
Answer: D
Step-by-step explanation: