Answer:
5x-6+7x+12=180
Step-by-step explanation:
5x+7x = 12x
12x - 6 +12 = 180
add 12 and -6 to get 6.
12x + 6 = 180
subtract 6 from both sides to get 174.
12x = 174.
now divide both sides by 12 to get x = 14.5 or 29/2 which cancels out to 6
X=275+55= 330 biked
y=275-55= 220 bus
Answer:
8
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle
7x - 4 + 9x + 4 = 128° add like terms
16x = 128 divide both sides by 16
x = 8
Answer: Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.
Step-by-step explanation:
Given differential equation, (D4 - 5D3 + 5D2 + 5D - 6)y = 0
=> For general solution of equation,
Solve D4 - 5D3 + 5D2 + 5D - 6 = 0
=> D4 - 5D3 + 6D2 - D2 + 5D - 6 = 0
=> D2 (D2 - 5D + 6) - (D2 - 5D + 6) = 0
=> (D2 - 5D + 6)(D2 - 1) = 0 ................................(1)
Now
D2 - 1 = (D - 1)(D + 1) and
Factors of D2 - 5D + 6
D2 - 5D + 6 = D2 - 2D - 3D + 6
= D(D - 2) - 3(D - 2)
= (D - 3)(D - 2)
Therefore, equation (1) implies
(D2 - 5D + 6)(D2 - 1) = (D - 3)(D - 2)(D - 1)(D + 1) = 0
=> D = 3, 2, 1, -1 or D = -1, 1,, 2, 3
=> General solution of differential equation is,<span>
=><span> y = C1 e-x + C2 ex + C3 e2x + C4 e3x</span> .
Hope it helps
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