Answer:
Step-by-step explanation:
1. Divide the coefficients and the exponentials separately
2. Divide the coefficients
3. Divide the exponentials
Subtract the exponent in the denominator from the exponent in the numerator.
4. Re-join the new coefficient and the new exponential
5. Put the new number into standard form
The number before the power of 10 must be greater than or equal to one and less than 10.
Multiply the answer by 10/10.
It's essential that you use " ^ " to indicate exponentiation if you want to communicate your ideas here accurately.
<span>x2e5x + 3xe5x − e5x = 0 should be written as
x^2e^(5x) + 3xe^(5x) - 1e^(5x) = 0.
e^(5x) can be factored out of all four terms, leaving us with
e^(5x) [x^2 + 3x - 1] = 0. e^(5x) is never zero, so no solution there.
However, we can set x^2 + 3x - 1 equal to zero and solve for x:
-3 plus or minus sqrt(3^2 - 4(1)(-1) )
x = ----------------------------------------------------
2
-3 plus or minus sqrt(13)
= ----------------------------------------
2
So the original equation has two roots.</span>
Answer:
Brainleist !
Step-by-step explanation:
6 bannas = 1.95
18 bannanas = ?
18/6 = 3
that means 18 is thriple 6, causeing the price of 6 to be tripled as well.
6 bannas = 1.95
18 bannanas = 5.85
Answer:
Step-by-step explanation:
The the area of the rectangular pen be A = LW
L is the length
W is the width
Given
A = 3136ft²
3136 = LW..........1
Given the perimeter P = 2L+2W....... 2
From 1; L = 3136/W
Substitute into 2
P = 2(3136/W)+2W
P = 6272/W + 2W
In order to minimize the amount of material needed, then dP/dW = 0
dP/dW = -6272/W² + 2
0 = -6272/W² + 2
6272/W² = 2
cross multiply
6272 = 2W²
W² = 3136
W = √3136
W = 56ft
Since A = LW
3136 = 56L
L = 3136/56
L = 56ft
Hence the dimensions of the rectangular pen that minimize the amount of material needed is 56ft by 56ft
Answer:
i think it is b
Step-by-step explanation:
