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4 years ago

A car travels 390 miles in 13 hours (with a constant speed). How much time will it take traveling 247 miles?

Mathematics

1 answer:

andre [41]4 years ago

4 0

It’s 8.2333. Just round it

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What are the possible rational zeros of f(x) = x^4 + 6x^3 − 3x^2 + 17x − 15?

loris [4]

Hmm, I got these for roots:
0.7937053103356799
0.026855090968934903 +i* 1.6611004538114105
0.026855090968934903 -i* 1.6611004538114105
-6.84741549227355

8 0

3 years ago

Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.

skad [1K]

Answer:

The absolute maximum and minimum is $20\; \text{and} -20.$

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

$f_x=y-4=0$

$f_y=x=0$

The only solution to this system of equations is the point (0, 4), which lies in the domain.

$f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1$

$\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1$

$\therefore (0,4)$ is a saddle point.

Boundary points - $(4,0), (-4,0), (0,16)$

Along boundary $y=16-x^2$

$f=x(16-x^2)-4x$

$=16x-x^3-4x$

$\Rightarrow f^'=16-3x^2-4=0$

$\Rightarrow 3x^2=12$

$\Rightarrow x=\pm2,\;\;y=14$

Values of f(x) at these points.

$\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}$

Therefore, the absolute maximum and minimum is $20\; \text{and} -20.$

6 0

3 years ago

Hlfkejfrrigije8fejfrjhbie 484hrg8vv

madreJ [45]

Answer:

i am writing it just for points

4 0

3 years ago

Read 2 more answers

54:63 in simplest form

Bas_tet [7]

Answer:

I think it is 6/7

Step-by-step explanation:

I am really bad at explaining but I'm not completely sure

4 0

3 years ago

Read 2 more answers

Which of the following equations is equivalent to 3x + 4y =15

slavikrds [6]

Answer:

x= −4 /3 y+5

Step-by-step explanation:

5 0

4 years ago