Answer:
<h2>x = 3 and y = 4</h2>
Step-by-step explanation:
We know:
The diagonals in a parallelogram divide by halves.
Therefore KG = UG and DG = CG.
We have
KG = 5y - 8, UG = 3y, DG = 4x - 7, CG = x + 2
Substitute:
5y - 8 = 3y <em>add 8 to both sides</em>
5y = 3y + 8 <em>subtract 3y from both sides</em>
2y = 8 <em>divide both sides by 2</em>
y = 4
---------------
4x - 7 = x + 2 <em>add 7 to both sides</em>
4x = x + 9 <em>subtract x from both sides</em>
3x = 9 <em>divide both sides by 3</em>
x = 3
We are asked in this problem to determine the simplified expression of the statement given. The rules that apply in exponential functions is that when an exponential term is raised to the power of an integer, the simplified term has a degree that is equal to the product of the integers involved. The operations involved should be applicable to terms with the same base number only. In this problem, we thus write:
2^3/4 / 2^1/2 = 2^3/4 * 2^-1/2 = = 2^(3/4 - 1/2) = 2^ 1/4. hence the answer is 2^0.25 or simply equal to 1.1892 determined using a calculator.
Answer:
Step-by-step explanation:
The given function is
To find k(-5), we put x=-5 into the given function to get;
Multiply out to obtain;
This is the same as;
This simplifies to
The inverse would make the inputs the outputs (switching the x's and y's) because plugging in 4 into the inverse would somehow output 4 and 5, the inverse could not exist. plug in the inverse points to see that the vertical line test would fail.
Answer:
the rate of inflation is 2%.
Step-by-step explanation:
given:
Nominal interest rate =3%
Real interest rate=1%
To Find:
Rate of inflation=?
Solution:
Nominal interest rate:
Nominal interest rate refers to the interest rate before taking inflation into account.
Inflation rate:
The inflation rate is the percent increase or decrease in prices during a specified period. It's usually over a month or a year.
Real interest rate:
A real interest rate is an interest rate that has been adjusted to remove the effects of inflation to reflect the real cost of funds to the borrower and the real yield to the lender or to an investor.
Real interest rate ≈ nominal interest rate − inflation rate.
This can be re written as
inflation rate= Real interest rate - nominal interest rate
Substituting the values,
inflation interest = 1+3
inflation interest=4%
i hope this helpsss<3
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