Enter the ordered pair that is the solution to the system of equations graphed below.

Mathematics

1 answer:

dalvyx [7]2 years ago

6 0

Answer:

x = 5/2

y = -1/2

Step-by-step explanation:

if both equations start with 'y=' then set the expressions equal to each other

3/5x - 1 = x - 3

add 1 to each side to get:

3/5x = x - 1

subtract 5/5x from each side:

3/5x - 5/5x = -1

-2/5x = -1

multiply each side by -5/2:

x = 5/2

y = 2 1/2 - 3

y = -1/2

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3 years ago

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For the function P(x) = x3 − 9x, at the point (2, −10), find the following. (a) the slope of the tangent to the curve (b) the in

Shalnov [3]

Answer:

3, in both a), b)

Step-by-step explanation:

a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.

Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is $p'(x)=3x^2-9$ . In particular, the value we are looking for is $p'(2)=3(2^2)-9=12-9=3$ .