Answer: the first number is 19 and second number is -3
Step-by-step explanation:
Let the First number be represented as x
and second number be represented as y
Therefore, A first number plus twice a second number is 13 be expressed as
x + 2y = 13-----equation 1
also Twice the first number plus the second totals 35
2x+ y = 35---- equaton 2
Step 2 --- Solving
x + 2y = 13-----equation 1
2x+ y = 35---- equation 2
By substitution, making x subject of formulae in equation 1
x+ 2y = 13
x= 13 - 2y
putting the value of x= 13- 2y in equation 2
2( 13 - 2y) + y= 35
26 - 4y + y= 35
-4y + y= 35- 26
-3y= 9
y = 9/-3
y= -3
To Find x , using equation 1
x + 2y = 13
x+ 2 x -3= 13
x-6=13
x= 13+6
x= 19
Therefore the first number = 19 and the second number = -3
By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
<h3>How to determine the domain of a function with radical components</h3>
Domain is the set of x-values such that the value of the function exists. By algebra we know that the domain of polynomials is the set of all <em>real</em> numbers, whereas the domain of <em>radical</em> functions is the set of x-values such that y ≥ 0. If we know that f(x) = 2 · x² + 5 · √(x - 2), then the domain is restricted by the <em>radical</em> component and defined by x ≥ 2.
By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
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Answer:
42
Step-by-step explanation:
3x^2+ 2x -18x -12
= (3x^2+ 2x) -(18x+ 12)
= x(3x+ 2) -6(3x+ 2)
= (3x+2)(x-6)
Final answer: (3x+2)(x-6)