Dr. Ellison says that the equation y = 17x + 1 has a solution of (1,18).
2 answers:
The solution of an equation is the true value of the equation.
The true statement is <em>(a) Dr. Ellison is right</em>
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The equation is given as:
The solution is given as: (1,18)
Substitute 1 for x and 18 for y.
So, we have:
Multiply
Add
The above equation is true.
Hence, the true statement is (a) Dr. Ellison is right
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Answer:
f(x) = {x-3 for x ≤ -1; -3x+14 for x > 5}
Step-by-step explanation:
To write the piecewise function, we can consider the pieces one at a time. For each, we need to define the domain, and the functional relation.
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<h3>Left Piece</h3>The domain is the horizontal extent. It is shown as -∞ to -1, with -1 included.
The relation has a slope (rise/run) of +1, and would intersect the y-axis at -3 if it were extended.
The first piece can be written ...
f(x) = x-3 for x ≤ -1
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<h3>Right Piece</h3>The domain is shown as 5 to ∞, with 5<em> not included</em>.
The relation is shown as having a slope (rise/run) of (-3)/(1) = -3. If extended, it would intersect the point (5, -1), so we can write the point-slope equation as ...
y -(-1) = -3(x -5)
y = -3x +15 -1 = -3x +14
The second piece can be written ...
f(x) = -3x +14 for x > 5
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<h3>Whole function</h3>Putting these pieces together, we have ...
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<em>Additional comment</em>
Sometimes it is convenient to write inequalities in number-line order (using < or ≤ symbols). This gives a visual indication of where the variable stands in relation to the limit(s). Perhaps a more conventional way to write the domain for the second piece is, <em>x > 5</em>.
Answer:
<em>The last choice is correct</em>
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Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
To find the LCM we can follow this procedure:
List the prime factors of each monomial.
Multiply each factor the greatest number of times it occurs in either factor.
We have two monomials:
The prime factors of the first monomial are:
The prime factors of the second monomial are:
LCM = Multiply
These are all the factors the greatest number of times they occur.
Operating:
The last choice is correct