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Fittoniya [83]
3 years ago
13

15x-6y=48 in simplest form

Mathematics
2 answers:
yarga [219]3 years ago
7 0
X = 2 (y+8)
_______
5
Elena L [17]3 years ago
6 0

Equation given:

15x - 6y = 48

First, turn 15x into -15x and plug it into 48.

15x - 6y = 48

-15x         -15x

The equation should look like this:

-6y = -15x + 48

Divide -6y to 48 and -15x.

y = \frac{5}{2} x- 8

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find the slope of the curve y=x^2-2x-5 at the point P(2,5) by finding the limit of secant slopes through point P
Fynjy0 [20]

The point (2, 5) is not on the curve; probably you meant to say (2, -5)?

Consider an arbitrary point Q on the curve to the right of P, (t,y(t))=(t,t^2-2t-5), where t>2. The slope of the secant line through P and Q is given by the difference quotient,

\dfrac{(t^2-2t-5)-(-5)}{t-2}=\dfrac{t^2-2t}{t-2}=\dfrac{t(t-2)}{t-2}=t

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Then the equation of the secant line is

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Taking the limit as t\to2, we have

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so the slope of the line tangent to the curve at P as slope 2.

- - -

We can verify this with differentiation. Taking the derivative, we get

\dfrac{\mathrm dy}{\mathrm dx}=2x-2

and at x=2, we get a slope of 2(2)-2=2, as expected.

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Solve this math problem
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Step-by-step explanation:

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Step-by-step explanation:

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