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larisa86 [58]
3 years ago
10

In which quadrant(s) do the graphs of y = x^2 and y = 3x +10 intersect?

Mathematics
1 answer:
vichka [17]3 years ago
5 0

Answer:

Step-by-step explanation:

y=3x+10

y=x²

x²-3x-10=0

x²-5x+2x-10=0

x(x-5)+2(x-5)=0

(x-5)(x-2)=0

x=5,2

when x=5,y=5²=25

point of intersection is (5,25)

when x=2

y=2²=4

so point of intersection is (2,4)

which shows that they intersect in first quadrant.

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3 0
4 years ago
A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon. It was felt that gasoline price i
slava [35]

Answer:

<em>alternative hypothesis : H₁ :</em>

<em>Recent  Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>

<em>Alternative Hypothesis : H₁: μ < $1.298 a gallon</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon

<em>Population average μ= $1.298 a gallon</em>

<em>sample size 'n' = 37</em>

<em>Sample mean (x⁻) = $1.192 a gallon </em>

<em>Sample standard deviation 'S' = $0.0436</em>

<em>Null hypothesis :H₀ : μ =  $1.298 a gallon</em>

<em>Alternative Hypothesis : μ < $1.298 a gallon</em>

<em>Degrees of freedom : ν = n-1= 37-1=36</em>

<em>t₀.₀₂₅ = 1.688</em>

<em>Test statistic </em>

<em>                        </em>t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }<em></em>

<em>                        </em>t = \frac{1.192-1.298 }{\frac{0.0436}{\sqrt{37} } }<em></em>

<em>                      t =  -14.8044</em>

<em>|t| = |-14.8044| > 1.688</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted </em>

<em>Recent  Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>

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3 years ago
What's the answer for 36x² - 84xy + 49y²​
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Answer:

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Step-by-step explanation:

.

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3 years ago
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