Answer: 23.548
Step-by-step explanation: The thousandths place is 3 places to the right of the decimal point so in this problem, the digit in the rounding place is 8.
The rules of rounding says that if the digit to the right of the rounding place is greater than or equal to 5, we round down but if the digit to the right of the rounding place is less than 5, we round down.
Since the digit to the right of the rounding place, 1, is less than 5, we round down. This means that the digit in the rounding place which is 8 stays the same and we change all digits to the right of 8 to zero.
So we have 23<em>.</em>5480.
Finally, it's important to understand that when rounding decimals, we can drop any zeroes to the right of the decimal point as long as they're also to the right of the rounding place.
This means that 23.5481 rounded to the nearest thousandth is 23<em>.</em>548.
Answer:
Option A)
Step-by-step explanation:
We are given the following in the question:
Roots of quadratic equation are:
The sum of the roots and the product of the roots can be calculated as:
Standard form of quadratic equation:
Putting values, we get,
is the required quadratic equation.
Thus, the correct answer is
Option A)
Answer: option D. 2x^2 + (3/2)x - 5
Explanation:
1) polynomials given:
f(x) = x/2 - 2 and g(x) = 2x^2 + x - 3
2) question: find (f + g) (x)
That means that f(x) + g(x), so you have to add up the two polynomials given.
3) x/2 - 2 + 2x^2 + x - 3
4) Combine like terms:
a) terms with x^2: you only have 2x^2, so it is not combined with other term.
b) terms with x: x/2 + x
that is a sum of fractions: x/2 + x = [x + 2x] / 2 = 3x / 2 = (3/2)x
c) constant terms: - 2 + (-3) = - 2 - 3 = - 5
5) Result: 2x^2 + (3/2)x - 5
That is the option d.
Answer: A: 6
B: 4
C: 2
Step-by-step explanation:
Y-y1=m(x-x1)
y-5=10(x-1)
Y-5=10x-10
Y=10x-5