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4 years ago

F(x) = 5x^2 - 8x - 5 what is the value of f(10) ?

1 answer:

8 0

f '(x) = 2(3x2 + 5) + 6x(2x - 1)= 6x2 + 10 + 12x2 - 6x= 18x2 - 6x + 10

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Bashir works in a weather station and has launched a weather ballon. The height of the baloon is 4 kilometers and it is 1 kilome

andrew-mc [135]

Answer:

Explanation:

We are given that the height of the balloon is 4 km and that it is 1 km away from the station.

Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image

where:

height of the balloon = 4 km represents one side of the triangle

distance between the base of the balloon and the station = 1 km represents the other side

distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.

To get the length of the hypotenuse, we will use the Pythagorean theorem

$hypotenuse = +\sqrt{(side1)^2 + (side2)^2}$

Substitute with the givens:

$hypotenuse = +\sqrt{(4)^2 + (1)^2}$ = √17 ≈ 4.1 km

Hope this helps :)

3 0

3 years ago

Gonzalo observa que el grifo del lavabo de un año después el goteo se produce una velocidad de una gota por segundo y cada gota

Sergio [31]

Answer:

La familia de Gonzalo ha despilfarrado 15,768 litros de agua.

Step-by-step explanation:

Dado que Gonzalo observa que el grifo del lavabo gotea luego de un año, y el goteo se produce una velocidad de una gota por segundo y cada gota contiene 0.5ml de agua, para determinar cuántos litros de agua ha despilfarrado la familia de Gonzalo desde que ellos se dieron cuenta de la avería se debe realizar el siguiente cálculo:

1 año = 365 dias x 24 horas x 60 minutos x 60 segundos

0.5 x 60 x 60 x 24 x 365 = X

30 x 60 x 24 x 365 = X

1800 x 24 x 365 = X

43,200 x 365 = X

15,768,000 = X

15,768,000 / 1000 = X

15,768 = X

Por lo tanto, la familia de Gonzalo ha despilfarrado 15,768 litros de agua.

5 0

3 years ago

Find the circumference. Use 3.14 for n. r = 6 ft C = [?] ft C=Td

Y_Kistochka [10]

In the circumference formula given d is the diameter which is 2 times r ( r is the radius)

R is given as 6 feet, diameter = 2 x 6 = 12 feet.

Circumference = 12 feet x 3.14 = 37.68 feet

5 0

3 years ago

Solve for x. The triangles in each pair are similar I need help! (´༎ຶོρ༎ຶོ`)

Taya2010 [7]

The answer is D) 12
If you need proof, just comment.

5 0

3 years ago

Please sketch graph of the function f(x) = |x+2|.

Burka [1]

Answer:

The absolute value can be graphed using the points around the vertex (-2, 0), (-4, 2), (-3, 1), (-1, 1), (0, 2).

Step-by-step explanation:

The find the x coordinate of the vertex, set the inside of the absolute value x + 2 equal to 0. In this case, x + 2 = 0.

x + 2 = 0

Subtract 2 from both sides of the equation.

x = -2

Replace the variable x with -2 in the expression.

y = |(-2) + 2|

The absolute value vertex is (-2, 0).

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

For each x value, there is on y value. Select few z values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.

Substitute the x value -4 into f(x) = |x+2|. In this case, the point is (-4,2).

y=2

Substitute the x value -3 into f(x) = |x+2|. In this case, the point is (-3,1).

y=1

Substitute the x value 0 into f(x) = |x+2|. In this case, the point is (0,2).

y=2

You can find the graph in the attachment.

6 0

3 years ago