Answer:
One way to factor equation is to find the zeros. Its obvious that x=-1 is solution for this. So one factor is (x+1)
the next factor should include 2x at first (because we have 2x^2 in the equation which can not be made any other way)
Let's suppose the factor is (x+1)(2x+b)
Since we do not know what is b open the brackets 2x^2+bx+2x+b. If this is equal to 2x^2+5x+3 then b=3. We are left with (x+1)(2x+3)=2(x+1)(x+3/2)
Would go for other shorter solutions, but they require some deeper understanding like Horner's scheme,Fermat's Theorem or even deeper which I assume You will not understand)
4(x + 7) = 38
Since there is no operation sign between the 4 and parenthesis, it makes it an automatic multiplication problem.
You would use distributive property to multiply each which should leave your equation looking like this afterwards:
4x + 28 = 38
(4 times x and 4 times 7)
You would then solve it like a two step equation,
1. +28 - 28 = 0
2. 38 - 28 = 10
4x = 10
10 divided by 4 = 2.5
x = 2.5
We can recheck our work by substituting in the value of x.
4(2.5 + 7) = 38
10 + 28 = 38
When we substituted in the value, it gave us the correct inequality.
Therefore,
x = 2.5
Complete question :
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?
Answer:
$265,720
Step-by-step explanation:
Given that:
State gasoline tax = $0.26 per gallon
Average number of gasoline sold per day = 1,022,000 gallons
. From the availabke information given :
Revenue generated = gasoline tax per gallon multiplied by the average number of gallons sold
= $0.26 * 1,022,000
= $265,720
Answer:
5/3
Step-by-step explanation:
