Consider the rational expression x2+6x−2/6x−5 .
2 answers:
Answer:
Correct choices are C, D and E
Step-by-step explanation:
Consider expression
Note that numerator consists of three terms:
and the denominator
consists of two terms:
A. False option.
The term in the numerator and in the denominator can be divided out, if both numerator and denominator are factored. Since is a term in numerator and denominator and is not a factor, then it cannot be divided out.
B. False option.
The numerator is quadratic trinomial. Each quadratic trinomial has at most 2 factors. Since 3>2, then the numerator cannot have three factors.
C. True option, because three terms of the numerator are
D. True option, because two terms of the denominator are
E. True option. The linear polynomial is always single factor.
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Answer:
42 adults and 196 children went to the zoo
Step-by-step explanation:
Let
x ----> the number of adults
y ----> the number of children
we know that
The total bill for the 238 people from a school trip was $1330
so
----> equation A
----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
the solution is the point (42,196)
see the attached figure
therefore
42 adults and 196 children went to the zoo
<h3>Answer: Choice B</h3>
Reflection along y axis
Translation: which means we shift 3 units down
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Explanation:
Let's track point A to see how it could move to point A'.
If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.
The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation
Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively. Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.