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777dan777 [17]
3 years ago
9

The student council set a goal of raising at least $500 in flower sales. So far it has raised $415. Write an inequality to show

how many more dollars, d, the student council needs to reach its goal. Inequality______________
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0
$500 < or = $415 + d

(subtract the 415 from both sides)

$85 < or = d
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Volume of water in the tank:

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Differentiate both sides with respect to time <em>t</em> :

\dfrac{\mathrm dV}{\mathrm dt}=\pi(200\,\mathrm{cm})^2\dfrac{\mathrm dh}{\mathrm dt}

<em>V</em> changes at a rate of 2000 cc/min (cubic cm per minute); use this to solve for d<em>h</em>/d<em>t</em> :

2000\dfrac{\mathrm{cm}^3}{\rm min}=\pi(40,000\,\mathrm{cm}^2)\dfrac{\mathrm dh}{\mathrm dt}

\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{2000}{40,000\pi}\dfrac{\rm cm}{\rm min}=\dfrac1{20\pi}\dfrac{\rm cm}{\rm min}

(The question asks how the height changes at the exact moment the height is 50 cm, but this info is a red herring because the rate of change is constant.)

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Step-by-step explanation:

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Step-by-step explanation:

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Y=3x-2
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Answer:

a) (x,y) = (3, 7) is a solution of the linear equation.

b) The rate of change of the equation is 3.

c) The y-intercept of the equation is -2.

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Step-by-step explanation:

a) If (x,y) = (3, 7) is a solution of the linear equation, then f(3) = 7. If x = 3, then the function evaluated at this value is:

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Hence, (x,y) = (3, 7) is a solution of the linear equation.

b) The rate of change of the equation is represented by the slope of the function, which is the constant that multiplies the indepedent variable (x). Hence, the rate of change of the equation is 3.

c) The y-intercept of the equation is the only constant of the equation. Hence, the y-intercept of the equation is -2.

d) A real-world scenario would be the following: <em>Jayne is working in the grocery one day, according to her calculations, renting the lot costs 2 dollars per day and she could earn 3 dollars per hour by selling pastries. How much money does she earn after working 8 hours?</em>

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