3 years ago

What is the rate of change between the points (0,5) and (1,-1)?

Mathematics

1 answer:

erastova [34]3 years ago

6 0

Answer:

Rate of change (slope) = - 6

Step-by-step explanation:

(-1-5)/(1-0) = -6/1 = -6

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Answer:

6 quarters and 15 dimes

Step-by-step explanation:

6 quarters = $1.50

15 dimes = $1.50

6 quarters + 15 dimes = $3.00

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3 years ago

What is the domain of the function graphed below?

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Step-by-step explanation:

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Tara's science project was graded based on creativity, accuracy, and effort. If she received a 9.4 for each of the three criteri

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Read 2 more answers

Let f ( x , y )=5 x and let C be the segment of the parabola y = 2 x squared joining O( 0 , 0 ) and P( 1 , 2 ). a. Find a parame

taurus [48]

a. We can parameterize $C$ by

$x=t$

$y=2t^2$

with $0\le t\le1$ . Then

$\displaystyle\int_C5x\,\mathrm dS=\int_0^15t\sqrt{1+16t^2}\,\mathrm dt=\dfrac5{48}(17^{3/2}-1)$

b. We can parameterize the opposite direction by instead setting

$x=1-t$

$y=2(1-t)^2$

with $0\le t\le 1$ . Then

$\displaystyle\int_C5x\,\mathrm dS=\int_0^15(1-t)\sqrt{1+16(1-t)^2}\,\mathrm dt=-\int_1^05u\sqrt{1+16u^2}\,\mathrm dt=\int_0^15u\sqrt{1+16u^2}\,\mathrm du$

which gives the same value as in part (a).

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3 years ago

Write a system of two equations in two variables where one equation is quadratic and the other is linear such that the system ha

PilotLPTM [1.2K]

Answer:

This system has no solution:

y = x²

y = 0 · x - 1

Step-by-step explanation:

Hi there!

I propose these two equations:

y = x²

y = 0 · x - 1

This system has no solution because in the quadratic function "y" is always positive for every value of "x", while in the linear function "y" is always -1 for every value of "x". Then, there will not be a pair (x,y) shared by both functions.

In other words, there is no value of "x" that satisfies this expression:

x² = 0 · x - 1

In the attached graphic, you can see that both curves never touch (in red is the quadratic function and in blue is the linear function), hence, the system has no solution.

Have a nice day!

4 0

4 years ago