Answer:
Step-by-step explanation:
<, > - open circle
≤, ≥ - closed circle
<, ≤ - draw the line to the left
>, ≥ - draw the line to the right
Sqrt(9)÷25= 0.12 I hope this helps!
Answer:
a = 1, b = 6
Step-by-step explanation:
The equation given is as follows;
P(x) = a·x³ + b·x² + 3·x - 10
The above equation has a factor of x + 5, therefore, we have;
P(-5) = 0 = a·(-5)³ + b·(-5)² + 3·(-5) - 10
-125·a + 25·b + (-15) - 10 = 0
-125·a + 25·b - 25 = 0
-125·a + 25·b = 25...........(1)
Also, we are given that;
a·x³ + b·x² + 3·x - 10 divided by x + 1 as a remainder, R = -8, therefore;
P(-1) = -8 = a·(-1)³ + b·(-1)² + 3·(-1) - 10
-a + b - 13 = -8
-a + b = -8 + 13 = 5
-a + b = 5............................(2)
Multiply equation (2) by 25 and subtract from (1) gives
-125·a + 25·b - 25(-a + b) = 25 - 25×5
-100·a = 25 - 125 = -100
a = 1
Therefore, from equation (2) we have;
-1 + b = 5
b = 5 + 1 = 6.
Answer:
Step-by-step explanation:
Well the square root of 16 can be simplified to 4, which can be represented as a fraction: 4/1, so it's not irrational, but rather rational.
Whole numbers are similar to integers, and natural numbers, the only difference is integers includes all real numbers, which do not have a decimal value. So this includes negative numbers, zero, and positive numbers.
Whole numbers include all real numbers, which do not have a decimal value, and are greater than or equal to zero, or in other words, not negative.
Natural numbers include all real numbers, which do not have a decimal value, and are greater than zero, or in other words, positive numbers.
So this number is a integer, and rational number. (since the negative number in front of the radical)
