x=31,y=−61
Put the equations in standard form and then use matrices to solve the system of equations.
5x+4y=1,3x−6y=2
Write the equations in matrix form.
(534−6)(xy)=(12)
Left multiply the equation by the inverse matrix of (534−6).
inverse((534−6))(534−6)(xy)=inverse((534−6))(12)
The product of a matrix and its inverse is the identity matrix.
(1001)(xy)=inverse((534−6))(12)
Multiply the matrices on the left hand side of the equal sign.
(xy)=inverse((534−6))(12)
For the 2×2 matrix (acbd), the inverse matrix is (ad−bcdad−bc−cad−bc−bad−bca), so the matrix equation can be rewritten as a matrix multiplication problem.
(xy)=(5(−6)−4×3−6−5(−6)−4×33−5(−6)−4×345(−6)−4×35)(12)
Do the arithmetic.
(xy)=(71141212−425)(12)
Multiply the matrices.
(xy)=(71+212×2141−425×2)
Do the arithmetic.
(xy)=(31−61)
Extract the matrix elements x and y.
x=31,y=−61
Comparing with the original expression, the value that will go into the green box is 5
<h3>Exponents and indices</h3>
Given the indices expression below;
Since 4^-5 is equivalent to 1/4^5, hence the given expression will be equivalent to;
Comparing with the original expression, the value that will go into the green box is 5
Learn more on exponent here: brainly.com/question/11975096
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Answer:
I am not so sure but if I were to choose it went up from an 200% increase.
Step-by-step explanation:
I believe the correct expression is: <span>11.50(1.083)^t where t is the time.
Now, we are given that the average price of the ticket is $11.5
The given expression means that this average value is dependent on the variable t. Therefore, the average price of the ticket increases exponentially with the time with the rate of growth equals 1.083
Now, to better understand this, we will get the price of the ticket at different times:
At t = 1: price = </span><span>11.50(1.083)^1 = $12.4545
At t = 2: price = </span><span>11.50(1.083)^2 = $13.4882235
At t = 3: price = </span><span>11.50(1.083)^3 = $14.60774605
We can notice that the price of the ticket increases exponentially as the time increases.
Hope this helps :)</span>
Df = g - 10
To solve for d, divide both sides by f.
df / f = (g - 10) / f
d = (g - 10) / f
I hope this explains it.
