Twice the difference of a number and 5 is at most 18
2 answers:
Answer:
Step-by-step explanation:
≥ → <em>at</em><em> </em><em>most</em>, <em>maximum</em>
≤ → <em>at</em><em> </em><em>least</em>; <em>minimum</em>
Any of these keywords will signal the above inequalities. Now, if you were to solve this, you would do this:
2[−5 + n] ≤ 18
_______ __
2 2
−5 + n ≤ 9
+5 + 5
________
* The above answer is written in reverse, which is the exact same result.
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We know that
the equation of the vertical parabola in the vertex form is
<span>y=a(x-h)²+k
</span>where
(h,k) is the vertex of the parabola
if a> 0 then
the parabola opens upwards
if a< 0
then the parabola open downwards
in this problem we have
f(x)=−5(x+7)²<span>+6
</span>a=-5
so
a< 0 -------> the parabola open downwards
the vertex is the point (-7,6) is a maximum
the answer is the option
<span>a = -5, opens down</span>
see the attached figure
the equation of the vertical parabola in the vertex form is
<span>y=a(x-h)²+k
</span>where
(h,k) is the vertex of the parabola
if a> 0 then
the parabola opens upwards
if a< 0
then the parabola open downwards
in this problem we have
f(x)=−5(x+7)²<span>+6
</span>a=-5
so
a< 0 -------> the parabola open downwards
the vertex is the point (-7,6) is a maximum
the answer is the option
<span>a = -5, opens down</span>
see the attached figure