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3 years ago

Given f(x) = –2 – 4, find f(4).

Mathematics

1 answer:

harkovskaia [24]3 years ago

3 0

Answer:

-6

Step-by-step explanation: 6 6 15 40

f(x) = –2 – 4, find f(4)

since there is NO x term in the function for ANY x

f(4) = –2 – 4 = -6

f(any x) = –2 – 4, find f(-∞ = x = ∞)

= -6

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What is 1/5 expressed as a percent?

juin [17]

1/5 is expressed 20%

6 0

3 years ago

Select the correct answer from the drop-down menu. A vertical pole is supported by two ropes staked to the ground on opposite si

Ainat [17]

Answer:

6.78 m

Step-by-step explanation:

Since the set up forms a triangle with length of ropes two sides of the triangle a = 8 m and b = 7 m respectively, the distance between them which is c = 6 m forms the third side of the triangle.

To find the height of the pole, we need to find the angle between any of the ropes and the ground. So, choosing the 8 m long rope side and using the cosine rule,

b² = a² + c² - 2accosФ where Ф is the angle opposite the 7 m long side which is also the angle between the 8 m long side and the ground.

So, making, Ф subject of the formula, we have

b² - (a² + c²) = 2accosФ

cosФ = [b² - (a² + c²)]/2ac

Ф = cos⁻¹{[b² - (a² + c²)]/2ac}

substituting the values of the variables into the equation, we have

Ф = cos⁻¹{[b² - (a² + c²)]/2ac}

Ф = cos⁻¹{[7² - (8² + 6²)]/2(8)(6)}

Ф = cos⁻¹{[49 - (64 + 36)]/96}

Ф = cos⁻¹{[49 - 100]/96}

Ф = cos⁻¹{-51/96}

Ф = cos⁻¹{-0.53125}

Ф = 122.09°

Since the height of the pole, h is a perpendicular bisector to the base of the triangle, and the 8 m long side form a triangle with it and the ground and the 8 m long side being the hypotenuse side of this triangle, we have that

sinФ = h/a where a = 8 m and Ф = 122.09° = the angle between the 8 m long side and the ground.

h = asinФ

substituting the values of the variables into the equation, we have

h = asinФ

h = (8 m)sin122.09°

h = 8 m × 0.8472

h = 6.78 m

3 0

3 years ago

Lesson 10 adding and subtracting in scientific notation

Gnoma [55]

What about lesson 9?

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4 years ago

The distance between two cities on a map is 3.25 centimeters. The map used a scale in which 1 centimeter represents 20 kilometer

____ [38]

Answer:

Step-by-step explanation:

Step one:

given

we are told that the distance is 3.25cm on the map

the scale is 1cm to represent 20km

Required

the actual distance

Step two

if 1cm represent 20km

then 3.25cm will represent x km

cross multiply we have

x=2.35*20

x= 65km

Hence, the actual distance between these two cities in kilometers 65km

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3 years ago

Find all x-intercepts and y-intercepts of the graph of the function . f(x) = - x ^ 3 + x ^ 2 + 12x If there is more than one ans

ololo11 [35]

Answer:

The y-intercept is (0,0)

The x-intercepts are (-3,0), (0,0), and (4,0)

Step-by-step explanation:

So we have the function:

$f(x)=-x^3+x^2+12x$

And we want to solve for the x- and y-intercepts.

To solve for the y-intercept, recall that the y-intercept is when the graph touches the y-axis. At that point, the x values is 0. Thus, to find the x-intercept, substitute 0 for x:

$f(x)=-(0)^3+(0)^2+12(0)$