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egoroff_w [7]
4 years ago
10

Write the ratio 36:56 in its lowest terms

Mathematics
1 answer:
Romashka-Z-Leto [24]4 years ago
8 0
Lowest terms would be 9:14
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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
4 years ago
PLEASE HELP ME Check the picture and tell me whats the answer please
german

Answer:

B

Step-by-step explanation:

Given

(4x + 3)(3x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

4x(3x - 4) + 3(3x - 4) ← distribute both parenthesis

= 12x² - 16x + 9x - 12 ← collect like terms

= 12x² - 7x - 12

The coefficient of the x- term is - 7 → B

3 0
3 years ago
A(n)=−6−4(n−1)<br> Find the 4th term in the sequence
blondinia [14]
If n = the term number, then:
A(4) = 6-4(4-1)
A(4) = 6-4(3)
A(4) = 6-12
A(4) = -6
A = -1.5
4 0
4 years ago
PLEASE HELP IM STUCK
uysha [10]
Y axis and quadrant IV
6 0
3 years ago
there are 100 movies at the store 30/100 are action movies 50/100 are comedies and 20/100 are adventure movies what part of the
pogonyaev

Answer:30 action and 50 comedies which is 80/100 or 80%/100%

Step-by-step explanation:

8 0
3 years ago
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