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denpristay [2]
4 years ago
9

A line has a y-intercept of 4 and a slope of 7. What is its equation in slope-intercept form?

Mathematics
1 answer:
gladu [14]4 years ago
4 0

Answer:

y=7x+4

Step-by-step explanation:

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Let's go:


y = ax + b


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3 years ago
Assume that x equals x (t )and y equals y (t ). Let y equals x cubed plus 4 and StartFraction dx Over dt EndFraction ​=2 when xe
nika2105 [10]

Answer:dy/dt(x=3)=54

Step-by-step explanation:

We know that we can write:

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

and so evaluate it as a product of functions, that is for a given value of x or t, we get that  

\frac{dy}{dt}(s)=\frac{dy}{dx} (s) * \frac{dx}{dt}(s).

Now we are told that:

1. x=x(t),\ 2.y=x^3+4,\ \frac{dx}{dt} =2,\ for \ x=3,

whenever it happens, this means the influence of t is hidden, and we only consider the result, that is, how much is x when the derivative has the value of 2, we are not concerned for what value of t it happens, since we get all the necessary information beforehand.

Now we need to calculate

\frac{dy}{dx}=3x^2 \rightarrow \frac{dy}{dx}(3)=3(3)^2=27.

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\frac{dy}{dt}(x=3)=27 *2 = 54.

7 0
4 years ago
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