Answer:
16
Step-by-step explanation:
Given
f(x)=5x^2+9x-2
Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).
Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:
f(x)=5x^2+9x-2
f(-3) = 5(-3)^2 +9(-3) -2
=5(9) - 27 -2
= 45-29
= 16 !
The first bullet is the answer
Answer:
40 units²
Step-by-step explanation:
Area of Rectangle: A = lw
Step 1: Define variables
<em>l</em> = 8
<em>w</em> = 5
Step 2: Substitute and evaluate
A = 8(5)
A = 40 u²
Step-by-step explanation:
Derive an expression for the equivalent width in a saturated line. Assume a Voigt profile, with the difference in optical depth between the center of the line and the wings being ~104. The wings of the line can be ignored. Define a frequency x1 = (v1 − v0)/ΔvD, where the optical depth τv = 1. Inside of x1 the line is fully saturated, and outside x1 the line is optically thin. Show that the equivalent width is

Note that the equivalent width is practically insensitive to the number density of absorbing material.
Hi there!
The Eqn. is :-
1.5 (x + 4) - 3 = 4.5 (x - 2)
1.5x + 6 - 3 = 4.5x - 9
Combining the like terms :-
1.5x - 4.5x = - 9 - 6 + 3
- 3x = - 15 + 3
- 3x = - 12
x =

x = 4
Hence, the required answer is → x = 4
~ Hope it helps!