Answer and explanation:
Possible domain of function includes from number one person attending to number 5 person attending
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The school office orders boxes of pencils and boxes of pens in a ratio of 5 to 2. If 60 boxes of pencils are ordered, how many b
2 answers:
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<h2>Range of x </h2><h3>
and x>6</h3><h3>Step-by-step explanation:</h3>
Given AB = 4x + 5, BC = 3x - 2 and AC 9x -5
The sum of the length of any two sides of a triangle is greater than the length of third side.
Case I
AB + BC > AC
⇔4x +5 +3x -2 > 9x -5
⇔7x + 3 >9x - 5
⇔ 7x -9x > -5 -3
⇔-2x > -8
⇔x <4
Case II
if AB+AC > BC
4x +5 +9x -5> 3x -2
⇔13x >3x -2
⇔ 13x -3x> -2
⇔10x > -2
⇔x >
Case III
AC+BC > AB
⇔9x - 5 +3x - 2 > 4x +5
⇔6x -7 > 4x +5
⇔6x -4x >5+7
⇔2x > 12
⇔x > 6
Answer:
d. 20
Step-by-step explanation:
The given question implies 5 permutation 2, i.e .
But,
=
So that for , n = 5 and r = 2.
=
=
=
Cancel out 3 and 2 with respect to the numerator and denominator.
= 5 * 4
= 20
Therefore,
= 20
So that the correct option is D.