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2 years ago

Explain the translation shown in the picture below

Mathematics

1 answer:

kirill115 [55]2 years ago

7 0

Answer: 2/-2 x is always on the top y is always on the bottom on the x axis it moves 2 spaces in the positive direction in the t axis it moves 2 spaces down in the negative direction

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What is the focus of the following graph?

diamong [38]

Answer:

F(1,5)

Step-by-step explanation:

This is a vertical parabola.

The vertex is at (1,4).

The directrix is y=3.

The distance from the vertex to the directrix is p=1

The focus is (1,4+p), which is (1,4+1)

Therefore the focus is (1,5)

5 0

3 years ago

If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible

Evgen [1.6K]

Answer:

Volume = $7969$ cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box be A and the height of the box be H.

Area of material required to make the box is equal to is $A^2 + 4*A*H.$

$A^2 + 4*A*H = 1900$

Rearranging the above equation, we get -

$`H = \frac{(1900 - A^2)}{(4*A)}$

Volume of box is equal to product of base area of box and the height of the box -

$V = A*A* H$

Substituting the given area we get -

$\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}$

For maximum volume

$\frac{dV}{dA} =0$

$\frac{ 1900}{4} - \frac{3*A^2}{4} = 0$

$A^2 = \frac{1900}{3}$

Volume of the box

= $\frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }$

= $7969$ cubic centimeter

3 0

2 years ago

Write the equation of a polynomial of degree 3, with zeros 1, 2 and -1 where f(0)=2

ser-zykov [4K]

Answer:

f(x) = x^3 - 2x^2 - x + 2

Step-by-step explanation:

since the zeroes are 1,-1, and 2. we can write the function like

f(x) = (x-1)(x+1)(x-2)

f(x) = (x^2-1)(x-2)

f(x) = x^3 -2x^2 -x +2

and it is true that f(0)=2

4 0

3 years ago

Which object shown below could we slice perpendicular to its base/face to create a trapezoid cross-section

alekssr [168]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the 64th term of the following arithmetic sequence.<br> 8,11,14,17

ruslelena [56]

Answer: 197

Step-by-step explanation:

The nth term is 3n+5

so the 64th term will be

(3 x 64)+5

192+5

= 197

7 0

3 years ago