Answer:
35
Step-by-step explanation:
Let number = x
(1/5 of x) + (3 * x) = 42 + (2 * x)
x/5 + 3x = 42 + 2x
1/5x + 3x - 2x = 42
1 1/5x = 42
6/5 x = 42
x = 42 ÷ 6/5
x = 42 * 5/6
x = 210 / 6
x = 35
The number is 35
The coefficients of the polynomial are rational, which means that any non-real roots occur alongside their complex conjugates. In this case, 6+<em>i</em> is a root, so 6-<em>i</em> is also a root.
So the simplest polynomial you can build with these roots is
(<em>x</em> - (-5)) (<em>x</em> - (6 + <em>i </em>)) (<em>x</em> - (6 - <em>i</em> )) = <em>x</em> ^3 - 7<em>x</em> ^2 - 23<em>x</em> + 185
(first choice)
Answer:
The best estimate for the average temperature in October at 10 a.m. is 73.8 degrees Fahrenheit.
Solution:
Number of hours after 5 a.m.: x
At 10 a.m.→x=10-5→x=5
yˆ=−0.37(5)^2+6.15(5)+52.3
yˆ=−0.37(25)+30.75+52.3
yˆ=−9.25+30.75+52.3
yˆ=73.8
Answer: The best estimate for the average temperature in October at 10 a.m. is 73.8 degrees Fahrenheit.
In a fraction, it would be 6/8. In a percent it would be 75%. If you want to know why, here's how:
6/8X100%)multiply 6 over 8 by 100)
Your answer is 75%
