Answer:
a) one solution(x = 9)
b) no solution
c) infinite solutions
Step-by-step explanation:
a) To solve this equation, we can add 4 on both sides in order to isolate x:
x - 4 =5
+ 4 + 4
x = 9
Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.
b) We start by subtracting 2x from both sides to combine the variable terms:
2x - 6 = 2x + 5
-2x -2x
-6 = 5
The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.
c) We can start by subtracting 3x from both sides to combine the terms with x:
3x + 12 = 3x + 12
-3x -3x
12 = 12
The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.
Answer:
-8° OR 52°
Step-by-step explanation:
Remember 22.
Now, you'll need to take 12 PM and see how many hours it is from 6 AM to 12 PM noon: 6-7, 7-8, 8-9, 9-10, 10-11, 11-12. We have 6 hours from 6 AM to 12 PM.
The problem gives us the average number of degrees it changed: 5. Since it doesn't specify HOW it changed, there are 2 answers.
In order to find the number of degrees it changed, we have to take the hours times the amount given, or in this case, 6 x 5 which equals 30.
Now that we know the fluxation number, we can either add or subtract 30 from the degrees given at noon.
So, 22 - 30 = <em>-8</em> AND 22 + 30 = <em>50</em>.
I hope that helps! :)
Answer:
1:2 and 4:6 which equal 3:10
Hope I Can Help!! :) Good Luck
Answer:
The correct anser is option
B. 2x + 2 = 18
Step-by-step explanation:
Let the number of hot dogs eaten by the runner up be represented by x
If Dave ate 2 more than twice x, this means that the number eaten by him = 2x + 2
Since the total number of hot dogs eaten by Dave is 18
Therefore, the equation will be
2x + 2 = 18
So the number of hot dogs eaten by the runner-up is determined by solving for x
2x= 18-2
2× = 16
x = 16/2
x = 8
The runner up are 8
While Dave are
2×8 + 2 = 18.
Answer:
The maximum error is approximately Ev=24%
Step-by-step explanation:
the volume of the cylinder V is
V= π/4*H*D²
where H= height and D= diameter
the variation of V will be
dV = (∂V/∂H)*dH + (∂V/∂D)*dD
dV = π/4*D²*dH +π/2*H*D*dD
if we divide by the volume V
dV /V = (π/4*D²*dH +π/2*H*D*dD )/( π/4*H*D²) = dH/H + 2*dD/D
dV /V = dH/H + 2*dD/D
then we can approximate
error in V= Ev= ΔV/V ≈ dV/V
error in H= Eh=ΔH/H ≈ dH/H
error in D= Ed=ΔD/D ≈ dD/D
thus
Ev= Eh + 2*Ed
since Ed=Eh=E=8%
Ev= Eh + 2*Ed =3*E=3*8%=24%
Ev= 24%
therefore the maximum error is approximately Ev=24%
