Answer:
r=−5.3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−7.4r−6.31=3.23−5.6r
−7.4r+−6.31=3.23+−5.6r
−7.4r−6.31=−5.6r+3.23
Step 2: Add 5.6r to both sides.
−7.4r−6.31+5.6r=−5.6r+3.23+5.6r
−1.8r−6.31=3.23
Step 3: Add 6.31 to both sides.
−1.8r−6.31+6.31=3.23+6.31
−1.8r=9.54
Step 4: Divide both sides by -1.8.
−1.8r/−1.8=9.54/−1.8
r=−5.3
Answer: The common ratio is -1/3
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Work Shown:
Pick any term to divide it by the previous term. I'm going to pick the second term and divide it by the first term.
r = common ratio
r = (term 2) divided by (term 1)
r = (4/9) divided by (-4/3)
r = (4/9) * (-3/4)
r = (4*(-3))/(9*4)
r = -12/36
r = -1/3
The common ratio is -1/3
This means you multiply each term by -1/3 to get the next term
For instance
term 2 = r*(term 1)
term 2 = (-1/3)*(-4/3)
term 2 = ((-1)*(-4))/(3*3)
term 2 = 4/9
Answer: Option 'E' is correct.
Step-by-step explanation:
Marginal utility is the addition utility derived from each successive unit of a particular good.
so, marginal utility is the change in utility from consuming an addition unit of a good or service.
Mathematically, it is expressed as
Hence, Option 'E' is correct.
Answer: 
Concept:
In a function f(x), it represents a function in terms of x or for x. Therefore, to find the values in the function, substitute values within the parenthesis to solve.
Solve:
<u>Given information</u>
<u>Need to find</u>
<u>Substitute (x + 4) to the position of x</u>
<u>Distributive property on the numerator</u>
<u>Combine like terms</u>
Hope this helps!! :)
Please let me know if you have any questions
Answer:
4/3
Step-by-step explanation:
-3y + 4x = -6
-3y = -6 -4y
slove for Y
y = -6/-3 -4/-3 x
Y = -2 +4/3x
Y = 4/3 x -2
Y = 4/3 x -2
so slope or gradient is coefficient of x
4/3 is gradient.
