Answer:
For #9, the part of the expression that represents the quotient is the division problem in parenthesis. Specifically, "(45 ÷ 9)". I believe you only need the division symbol for this, though. Correct me if I'm wrong.
As for #10, the part of the expression representing the product of two factors is 5.2 being multiplied by the variable . This results in the the term , with the coefficient being 5.2 and the variable being .
Step-by-step explanation:
The question is not well written. Let us say the function given as expressed as;
f(x) = -1/x + 3/x⁴
f'(x) means we are to differentiate the function with respect to x;
Given f(x) = axⁿ
f'(x) = naxⁿ⁻¹
f(x) = -x⁻¹ + 3x⁻⁴
Applying the differentiation formula we will have;
f'(x) = -1(-x⁻²)+(-4)3x⁻⁴⁻¹
f'(x) = x⁻²-12x⁻⁵
Express as a fraction
f'(x) = 1/x²-12/x⁵
To get f'(4), we will have to substitute x = 4 into the resulting expression
f'(4) = 1/4²-12/4(5)
f'(4) = 1/16-12/20
f'(4) = 1/16-3/5
Find the LCM
f'(4) = (5-48)/80
f'(4) = -43/80
Note that the function used was assumed but the same method can be employed to any other functions.
Answer:
The required inequality is x > 3.9
Step-by-step explanation:
Consider the provided information.
The closed circle means that the set contain that extreme.
For closed circle we use the inequality "≤" or "≥"
The open circle means that the set does not contain that extreme.
For open circle we use the inequality "<" or ">"
Here, it is given that the graph has an open circle, therefore the required inequality should be "<" or ">"
If the ray moves right, in the usual notation, the real numbers increase to the right, if it moves to left the real numbers decreases.
It is given that the ray moves to right that means the set of numbers bigger than 3.9, that does not contain the number 3.9
Hence, the required inequality is x > 3.9
Where x is any number greater than 3.9.
Answer:
2 - 19i
Step-by-step explanation:
note that i² = - 1
given
(3 + 8i)(- 2 - i) ← expand using FOIL
= - 6 - 3i - 16i - 8i²
= - 6 - 3i - 16i - 8(- 1)
= - 6 - 3i - 16i + 8 ← collect like terms
= 2 - 19i
B.(5x - 1)(x + 6)
C.(5x - 3)(x + 2)
D.(5x - 2)(x + 3)
A.
No, it is not reasonable because if you start at –3, you will move 2 spaces to the right and get –1.
B.
No, it is not reasonable because if you add two integers, you get a positive integer. The answer is +5.
C.
Yes, it is reasonable because if you start at –3, you will move 2 spaces to the left and get –5.