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ArbitrLikvidat [17]
3 years ago
9

Could anyone help with 5 math questions ;-;

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0
We will let the hours of her shift be the values of x and the number of people be the values of y.
Now, the gradient of the line is given by
(change in y) / (change in x) 
So let us take 2 values of x and their corresponding values of y.
(1 , 70) and (3 , 98)
slope = (98 - 70) / (3 - 1)
= 14 people per hour
The slope-intercept form of a linear equation is:
y = mx + c; where m is the slope and c is the y-intercept. c is obtained when x is 0 and this is given to us as 56. Thus,
y = 14x + 56
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A point moves along the curve y = √ x in such a way that the y-component of the position of the point is increasing at a rate of
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Answer:

The value of x component changes at a rate of \frac{dx}{dt}=4\sqrt{x} units per second

Step-by-step explanation:

We are given that y=x^{\frac{1}{2}}

Differentiating on both sides with respect to time we get

\frac{dy}{dt}=\frac{d\sqrt{x}}{dt}\\\\\frac{dy}{dt}=\frac{1}{2}x^{\frac{-1}{2}}(\frac{dx}{dt})\\\\\frac{dy}{dt}=\frac{1}{2\sqrt{x}}\frac{dx}{dt}

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