Answer:
Proportion states that the two fractions or ratios are equal
As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96
Let the tank size now be x
Since, the gas tank expanded by 10 gallons = x + 10
by definition of proportion ;
by cross multiply we get;
using distributive property;
Subtract 42.56x from both sides we get;
Divide both sides by 30.4 we get;
x = 14
Therefore, the tank is her now is, 14 gallons
Solve for X.<span>
-3x + 4 = -8.
</span>X is equal to 4.
Is that all that the question says ?
Answer:
B. 
Step-by-step explanation:
The given trigonometric function is
.
The amplitude of this function is 
, so under normal circumstances the range is supposed to be
But the 
is a downward vertical shift.
Therefore the normal boundaries of the range will shift down one unit to give the range of the transformed function.
We subtract 1 from the lower boundary to get 
We also subtract 1 from the upper boundary to get 
Hence the range is
Also see graph
Answer:
4/(3(x-2))
Step-by-step explanation:
3x^2-21x+30=3(x^2-7x+10)=3(x-5)(x-2)
3x-15=3(x-5)
----------------------------
So the common denominator must be 3(x-5)(x-2)
2(x-2)=2x-4
Add the numerators,
(2x-16)+(2x-4)=4x-16-4=4x-20
-----------------
(4x-20)/[3(x-5)(x-2)]
simplify 4x-20 into 4(x-5)
cancel out the (x-5)'s for both the denominator and the numerator
4/[3(x-2)]
