The succesor of the natural number 2012 is 2013.
Answer:
y = 9.54
and, x = 0.08
Step-by-step explanation:
Given that
x - 2y = -19 .......................(1)
3x + 5y = 48 ...............(2)
Based on the above information
Multiply by 3 in equation 1
So,
3x - 6y = -57
3x + 5y = 48
- - -
-11y = -105
y = 9.54
So, the x would be
x - 2(9.54) = -19
x - 19.08 = -19
x = -19 + 19.08
x = 0.08
Answer:
Step-by-step explanation:
Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²
From V = πr³ + 7πr²;
factor out the common variable
V = πr³ + 7πr²
V = πr²(r+7) ... 1
The original volume of a cylinder V = πr²h .... 2 where;
r is the radius of the cylinder
h is the height of the cylinder
Equating equation 1 and 2, we will have;
πr²(r+7) = πr²h
Divide both sides by πr²
πr²(r+7)/ πr² = πr²h/ πr²
r+7 = h
h = r+7
<em>Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r</em>.<em> The statement means that the height of the cylindrical soup is 7 more than its radius.</em>
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Lets assume that they are driving at an average of 70mph, and getting gas takes 10 minutes, and stopping to eat takes 30.
t=d/s
t=600/70
t=8.57
Stopping to eat twice is 30 x 2 = 60 (another hour)
and Gas is 10 x 3 = 30 minutes (0.5 hours)
Total time is,
8.57+1+0.5 =10.07
So the trip will take approx 10.7 hours total.
(This is using my assumptions, from my experience!)
What you want to do for each of those is follow the formula, y-y[1]=m(x-x[1]). When I say y[1] and x[1], I mean the x and y values given. So the first one would be y-4=-3(x-(-1)). Then you solve for y by distributing the -3 to x and +1 (+1 because two negatives make a positive), making the equation
y-4=-3x-3. Then you subtract the 4. Answer #1. y=-3x-7.
#2.
y-1=1(x-4)
y-1=x-4
y=x-5
#3.
y-2=2(x-(-1))
y-2=2x+2
y=2x+4
Hope this helped you!
