What is the solution to the system of equations?
1 answer:
Answer:
(8 - 12 )
Step-by-step explanation:
Given
x -
y = 8
x +
y = - 5
Multiply both equations through by 4 to clear the fractions
x - 2y = 32 → (1)
2x + 3y = - 20 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the x- term
- 2x + 4y = - 64 → (3)
Add (2) and (3) term by term to eliminate x
0 + 7y = - 84
7y = - 84 ( divide both sides by 7 )
y = - 12
Substitute y = - 12 into either of the 2 equations and solve for x
Substituting into (1)
x - 2(- 12) = 32
x + 24 = 32 ( subtract 24 from both sides )
x = 8
solution is (8, - 12 )
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Answer:
The domain is (-∞,∞) and range is (k,∞)
Step-by-step explanation:
The graph is given as .
When x =0, we have f(x) = y intercept
Consider the exponential function y = .
This is defined for domain all real numbers and range = (0,infinity) for all positive a.
This function is transformed into our function by horizontal shift of h units to left and vertical units of k units up.
i.e. Y = y-k and X = x-h
Since x has domain as set of all real numbers X also set of real numbers
So domain is (-∞,∞)
Since range of original graph is (0,∞), we have Y minimum value as k and max as infinity.
Range = (k,∞)