Answer:
<h3>x = 1 and 2/3 or x = 1 2/3</h3><h3 />
Step-by-step explanation:
Simplify both sides of equation
1 * x = 1 2/3
1 * x is 1x which is the same as x because there is one x
then for the improper fraction which is 1 2/3
to simplify improper fractions we times the whole number by the denominator
so 1 * 3 then add the numerator 2 and the denominator stays the same so we get x = 5/3
now we have x = 5/3 this is not correct because the numerator is bigger than the denominator so we just subtract the denominator from the numerator and how many times 3 goes into 5 (in this case 1) becomes the new whole number.
therefore we get x = 1 2/3
A^2 - 4a + 4
hope this helps!
Answer:
Quotient = -4
Remainder = -x+6
Step-by-step explanation:
(12+2-13x) / (3x-2)
= (-13x+14) / (3x-2)
Quotient = -4
Remainder = -x+6
Answer:
Step-by-step explanation:
Answer:
a) y-8 = (y₀-8) , b) 2y -5 = (2y₀-5)
Explanation:
To solve these equations the method of direct integration is the easiest.
a) the given equation is
dy / dt = and -8
dy / y-8 = dt
We change variables
y-8 = u
dy = du
We replace and integrate
∫ du / u = ∫ dt
Ln (y-8) = t
We evaluate at the lower limits t = 0 for y = y₀
ln (y-8) - ln (y₀-8) = t-0
Let's simplify the equation
ln (y-8 / y₀-8) = t
y-8 / y₀-8 =
y-8 = (y₀-8)
b) the equation is
dy / dt = 2y -5
u = 2y -5
du = 2 dy
du / 2u = dt
We integrate
½ Ln (2y-5) = t
We evaluate at the limits
½ [ln (2y-5) - ln (2y₀-5)] = t
Ln (2y-5 / 2y₀-5) = 2t
2y -5 = (2y₀-5)
c) the equation is very similar to the previous one
u = 2y -10
du = 2 dy
∫ du / 2u = dt
ln (2y-10) = 2t
We evaluate
ln (2y-10) –ln (2y₀-10) = 2t
2y-10 = (2y₀-10)
The answer would be 59 miliseconds
