Answer:
b) -18(2x -3y + 5)
d) 18(-2x + 3y - 5)
e) -2(18x - 27y + 45)
Step-by-step explanation:
a) -9( 4x - 6y - 10) = -36x + 54y + 90 not equal
b) -18(2x - 3y + 5) = -36x + 54y - 90 equal
c) -6(6x + 9y - 15) = -36x - 54y + 90 not equal
d) 18(-2x + 3y - 5) = -36x + 54y - 90 equal
e) -2(18x - 27y + 45) = -36x + 54y - 90 equal
f) 2(-18x + 54y - 90) = -36x + 108y - 180 not equal
The answer is True.
On differentiating using product rule,
![\mathsf {\frac{d}{dx}[xe^{x}] = x(e^{x})+e^{x}(1)}](https://tex.z-dn.net/?f=%5Cmathsf%20%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bxe%5E%7Bx%7D%5D%20%3D%20x%28e%5E%7Bx%7D%29%2Be%5E%7Bx%7D%281%29%7D)
![\mathsf {\frac{d}{dx}[xe^{x}] = e^{x}(x + 1)}](https://tex.z-dn.net/?f=%5Cmathsf%20%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bxe%5E%7Bx%7D%5D%20%3D%20e%5E%7Bx%7D%28x%20%2B%201%29%7D)
The general form of product rule :
Hi there! I can help you! Okay, so to find the answer for these types of questions, we have to divide the total cost on gas by the number of gallons filled in the tank. With that being said, if you do this correctly, here are your answers.
Genevieve: $3.68
Unnamed Person: $3.64
When you compare the prices, you see that 3.64 < 3.68. With this being the case, the unnamed person spent less per gallon of gas.
Answers:
871
The question cut off at hundredths but Latika was right
Step-by-step explanation:
Answer:
<h2>
B. 6</h2>
Step-by-step explanation:
I'd like to begin by apologizing for the late reply.
PROCESS:
1) Begin by analyzing the triangle
2) Notice how you can take the sin of 30 to find the hypotenuse
3) sin30= 3/x
4) If you don't see how I did that, a fun trig word play for functions, is
S O/H
C A/H
T O/A
where
S= Sine
C= Cosine
T= Tangent
O= Opposite
H= Hypotenuse
A= Adjacent
so side opposite of 30 is side 3, and the hypotenuse is x.
5) sin30= 3/x = 6
6) Your answer, hypotenuse is 6
BONUS: If you want to find the base length, use Pythagorean theorem.
c=√a2+b2
b=√c2-a2= √6^2 - 3^2= 5.19 or 5.2
