Answer:
the answer is 5/4. If you multiply 1/4 by 5 you get 1 1/4 which is the same as 5/4.
Answer: B) 3+y+3
This can be simplified to y+6, but the current un-simplified expression has 3 terms.
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Explanation:
Terms are separated by a plus sign. If you had something like 10x-5y, then you would write that as 10x+(-5y) showing that 10x and -5y are the two terms.
Choices A and C, xy and 6y respectively, have one term each. They are considered monomials. Mono = one, nomial = name.
Choice D is the product of the constant 3 and the binomial y+3. Binomials have two terms.
Only choice B has three terms, though we can simplify it down to two terms. I have a feeling your teacher doesn't want you to simplify it.
Find the general solution by separating the variables then integrating:
dy / dx = cosx℮^(y + sinx)
dy / dx = cosx℮ʸ℮^(sinx)
℮^(-y) dy = cosx℮^(sinx) dx
∫ ℮^(-y) dy = ∫ cosx℮^(sinx) dx
-℮^(-y) = ℮^(sinx) + C
℮^(-y) = C - ℮^(sinx)
-y = ln[C - ℮^(sinx)]
y = -ln[C - ℮^(sinx)]
Find the particular solution by solving for the constant:
When x = 0, y = 0
-ln(C - 1) = 0
ln(C - 1) = 0
C - 1 = 1
C = 2
<span>y = -ln[2 - ℮^(sinx)]
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Answer:
$3
Step-by-step explanation:
17 - 5 = 12 divided by 4 = 3
x^2 – 6x = 20
b=-6
to complete the square, add (b/2)^2 to each side
(b/2)^2 = (-6/2)^2=(-3)^2 =9
x^2 – 6x +9 = 20+9
(x+b/2) ^2 =29
(x-3)^2=29
take the square root of each side
x-3 = +- sqrt (29)
add 3 to each side
x = 3+- sqrt (29)
x = 3 + sqrt(29), x- sqrt(29)
Answer: -2.39, 8.39
