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Elena L [17]
3 years ago
9

Janet has a 65 dollar budget to buy paper goods and plastic cutlery for an impromptu birthday party. She determines that the pap

er goods will cost 37.50 . How many sets of cutlery can she purchase if each set costs 0.75? (She cannot buy a partial set of cutlery.)
Mathematics
1 answer:
Murljashka [212]3 years ago
4 0
She can buy 36 sets of cutlery because first you subtract 37.50 from 65 then divide the difference by 0.75.
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Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?
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Answer:

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

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Step-by-step explanation:

f(x)=2x^{3}-26x-24

2x^{3}-26x-24=0

2x^{3}-26x-24=0\\2x^{3}-2x-24x-24=0\\2x(x^{2} -1)-24(x+1)=0\\2x(x+1)(x-1)-24(x+1)=0\\(x+1)(2x^{2} -2x-24)=0\\=> x+1=0 => x_{1}=-1\\

=> 2x^{2} -2x-24=0\\=>2(x^{2} -x-12)=0\\=> x^{2} -x-12=0\\=> x^{2} -4x+3x-12=0\\=> x(x-4)+3(x-4)=0\\=> (x-4)(x+3)=0\\

=> x-4=0\\=> x_{2}=4\\=> x+3=0\\=>x_{3}=-3\\

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis



7 0
3 years ago
Read 2 more answers
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