X= 1/4y +3
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Answer:
And using the second point we have this:
If we divide both sides by 18 we got:
And taking the square roof of 16 we got:
But on this case the negative solution not makes sense since the function is increasing so then the correct exponential function that pass through the points (0,18) and (2,288) is:
Step-by-step explanation:
We want to construct an exponential function given by this general form:
And we know that the function needs to pass for two points (0,18) and (2,288). Using the first point we have this:
And using the second point we have this:
If we divide both sides by 18 we got:
And taking the square roof of 16 we got:
But on this case the negative solution not makes sense since the function is increasing so then the correct exponential function that pass through the points (0,18) and (2,288) is:
Answer:
Let x = salary of the architect, in thousands
Let 2x - 25 = salary of a lawyer, in thousands
2x + 2x - 25 = 206 (combined salaries, in thousands)
4x - 24 = 206
4x = 206 - 25 = 181
x = 45.25, in thousands.
The architect earns $45,250 yearly
The lawyer earns $65,500 yearly
If you want to set up a system of equations with 2 variables.
Let x = the salary of the architect, in thousands.
Let y = the salary of the lawyer, in thousands.
x + y = 206
y = 2x - 25
Solving by substitution will yield the same equation as above: x = 45.25 or $45,250
Then y = 2(45,250) - 25,000 = $66,500
Answer:
1
Step-by-step explanation:
The graph below shows the radius to be 1.
__
If we rewrite the equation to standard form, we have ...
(x^2 -2x +1) +(y^2 +6y +9) = -9 +1 +9
(x -1)^2 +(y +3)^2 = 1
The square of the radius is 1, so the radius is 1.
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