Answer: x² + 4x + 3
<u>Step-by-step explanation:</u>
f(x) = x² + 3x + 2
+ <u>g(x) = x + 1 </u>
(f+g)(x) = x² + 4x + 3
Note: This answer is based on f(x) having an x² (since the squared is missing from your question).
The least possible value of 8x - 13 when 9 is less than or equal to 3/4 + x is;
53.
According to the question;
Therefore,
Therefore, x >= 33/4.
The least possible value of x is therefore, 33/4
The expression 8x -3 becomes;
Therefore, the least possible value of 8x - 13 is;
53.
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Answer:
x<2 and x> -8
Step-by-step explanation:
Answer:
Variance = 1,227.27
Standard deviation = 35.03
Step-by-step explanation:
To calculate these, we use the following formulas:
Mean = (sum of the values) / n
Variance = ((Σ(x - mean)^2) / (n - 1)
Standard deviation = Variance^0.5
Where;
n = number of values = 20
x = each value
Therefore, we have:
Sum of the values = 29 + 32 + 36 + 40 + 58 + 67 + 68 + 69 + 76 + 86 + 87 + 95 + 96 + 96 + 99 + 106 + 112 + 127 + 145 + 150 = 1,674
Mean = 1,674 / 20 = 83.70
Variance = ((29-83.70)^2 + (32-83.70)^2 + (36-83.70)^2 + (40-83.70)^2 + (58-83.70)^2 + (67-83.70)^2 + (68-83.70)^2 + (69-83.70)^2 + (76-83.70)^2 + (86-83.70)^2 + (87-83.70)^2 + (95-83.70)^2 + (96-83.70)^2 + (96-83.70)^2 + (99-83.70)^2 + (106-83.70)^2 + (112-83.70)^2 + (127-83.70)^2 + (145-83.70)^2 + (150-83.70)^2) / (20 - 1) = 23,318.20 / 19 = 1,227.27
Standard deviation = 1,227.27^0.5 = 35.03
Answer: x < -9
Step-by-step explanation:
-8x > 72
x < -9 when dividing a negative number in an inequality, change the sign to opposite.
the number are less than -9.
