<span>y(t) = a exp(3t) + b exp(4t)
conditions, y(0) = 3
y'(0) = 3
y(0) = a exp(3 x 0) + b exp(4 x 0)
= a exp(0) + b exp(0)
= (a x 1) + (b x 1)
= a + b
y'(0) = 0
so the linear equation is, a + b = 3</span>
Answer:
6 pints = 3 quarts = 5.91 cups = 0.74 gallons
(cups and gallons are rounded)
Step-by-step explanation:
The equation of line parallel to
and containing the point(-10,-3) is 
Step-by-step explanation:
We need to write the equation parallel to
and containing the point(-10,-3)
The standard form of point slope equation is:

where m is slope and b is y-intercept
Comparing the given equation
with standard form the slope is m= -1/5
Since the lines are parallel the slope of new line is m = -1/5
Now finding b (y-intercept)
Using slope m=-1/5 and point (-10,-3)

So, b= -5 and slope = -1/5 the equation of new line is:

So, The equation of line parallel to
and containing the point(-10,-3) is 
Keywords: Point Slope form
Learn more about point slope form at:
#learnwithBrainly
The Hamilton path the answer is B
"Half of a number decreased by 27" can be displayed as:
<u>1/2x - 27</u>