Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 5 → (1)
7x - 5y = 2 → (2)
Multiplying (1) by 5 and (2) by 3 and adding will eliminate the y- term
10x + 15y = 25 → (3)
21x - 15y = 6 → (4)
Add (3) and (4) term by term to eliminate y
31x = 31 ( divide both sides by 31 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (1)
2(1) + 3y = 5
2 + 3y = 5 ( subtract 2 from both sides )
3y = 3 ( divide both sides by 3 )
y = 1
Solution is (1, 1 )
There are a few ways to solve this, the simplest of which is probably factoring. Start by finding factors of C (10) that add up to be B (-2).
fac(10) { -10, 1 ; -5, 2 }
Well, there are no factors of 10 that can add to b - so we will use the quadratic formula.
(-b +- sqrt(b^2 - 4ac)) / 2a
where a = 1, b = -2, c = 10
b^2 - 4ac = (-2)^2 - 4(1)(10) = 4 - 40 = -36
-b +- sqrt(-36) / 2a
(2 +- sqrt(-36)) / 2
sqrt(-36)
sqrt(-1 * 36)
sqrt(-1) * sqrt(36)
i * 6
6i
2 + 6i / 2 ; 1 + 3i
2 - 6i / 2 ; 1 - 3i
Solutions: 1 + 3i, 1 - 3i
Answer:
D. All the above are correct
Step-by-step explanation:
An isocost line will be shifted further away from the origin if the total cost increases, if the price of both inputs increases or there is an advance in technology.
An isocost line can be defined as the graphical representation of various combinations of two inputs factors (labor,L and capital, K) which the firm can afford or purchase with a given amount of money.
An isocost line can be expressed mathematically as:
C = w L + r K
Where,
C = cost of production
w = price of labor or wages
L = units of labor
r = price of capital or interest rate
K =units of capital
Isocost is used to determine what combination of factor inputs the firm will choose for production process.
The statements that would complete the proof where ∠2 ≅ ∠7 by the transitive property are:
∠2 ≅ ∠3
∠3 ≅ ∠7
<h3>What is the Transitive Property?</h3>
The transitive property states that if x = y, and y = z, then x = z.
From the image given below, we have:
∠2 ≅ ∠3 because they are vertical angles which must be congruent.
∠3 ≅ ∠7 because corresponding angles are congruent.
Applying the transitive property, we can state that: ∠2 ≅ ∠7.
Therefore, the statements that would complete the proof are:
Learn more about the transitive property on:
brainly.com/question/2437149
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