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hram777 [196]
4 years ago
14

Kellys basketball team made a total of 33 two point and three point baskets in their game last week.If her team scored a total o

f 72 points how many two point
baskets did they make.Define x and y variables and write system of equation
Mathematics
1 answer:
babunello [35]4 years ago
6 0
Let
x--------------------- > <span>two point baskets
</span>y--------------------- > <span>three point baskets
</span>2x+3y=72
x+y=33--------- > y=33-x
2x+3*(33-x)=72 -------------- > 2x+99-3x=72 ------ > -x=72-99-> x=27
y=33-x=33-27=6

the answer is 27 two point baskets and 6 three point baskets
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If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on
Nadya [2.5K]

Answer:

 \frac{dy}{dt}  = 102

Step-by-step explanation:

<u>step(i)</u>

Given function y = 3 x³ - 2 x  ... (i)

Differentiating equation (i) with respective to 'x'

    \frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)

Given x = -2

(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)

(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34

<u><em>Step(ii):-</em></u>

<u><em>we know that </em></u>

                     \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

Given    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34

                  \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

substitute values    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34  

           ⇒        34 = \frac{\frac{dy}{dt} }{3 }

cross multiplication , we get

                      \frac{dy}{dt} = 34( 3 ) = 102

<u><em>Final answer</em></u>:-

 \frac{dy}{dt} = 34( 3 ) = 102

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3 years ago
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MArishka [77]

Answer:

If you live to be 70, you will have spent 10 years of your life on Monday.

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