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3 years ago

Evaluate f(x)= -2x for x=3

Mathematics

1 answer:

cluponka [151]3 years ago

8 0

Replace all x's with the value of x.

f(x) = -2x becomes f(3) = -2(3)

f(3) = -2(3)
f(3) = -6

So, -6 is the answer.

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Use the spider tool located on page 1 of this activity to draw a 12-pointed star for the new logo. (Hint:If the spider rotates 3

lidiya [134]

Answer:

each of the 12 turns is 150°

Step-by-step explanation:

If we number the points of the star 1–12, in order for the star to be symmetrical, each point must connect to two points symmetrically located around the centerline.

That is, point 1 may connect to points {2, 12} or {3, 11} or {4, 10}, or {5, 9} or {6, 8} or {7, 7}. For each of these connections, the angle made at the point of the "star" is, respectively, 150°, 120°, 90°, 60°, 30° or 0°. For these angles, the figure obtained will be ...

150° - dodecagon, a 12-sided figure

120° - hexagon

90° - square

60° - equilateral triangle

30° - 12-pointed star

0° - straight line

The two 12-pointed figures are shown in the attachment.

We suspect the star you're interested in is the one with points that are 30°. In order to have that point angle, the spider must make a turn of 180° -30° = 150°.

The spider will make 12 turns of 150°, for a total of 1800°, for a total of 5 full turns of 360°.

4 0

4 years ago

Need Help With Math. One Question

alina1380 [7]

Answer: 2 < x < 16

The triangle inequality theorem says that if we have a triangle with sides a,b,c then

b-a < c < b+a

with b being longer than 'a'

In this case, a = 7 and b = 9 and c = x

so we have

b-a < c < b+a

9-7 < c < 9+7 .... replace a with 7, replace b with 9

2 < c < 16

2 < x < 16 .... replace c with x

So x can be any number between 2 and 16. The value of x cannot be equal to 2. Also, x cannot be equal to 16 either.

8 0

4 years ago

I REALLY NEED HELP!!

Nitella [24]

Based on the calculations on these invertible functions, f⁻¹(f(6.022)) is equal to 6.022 and f⁻¹(-10) + f(-6) is equal to -16.

<h3>What is an invertible function?</h3>

An invertible function refers to a type of function that is obtained by reversing the operation of a given function (f(x)).

In Mathematics, a function and its inverse function has the following property f⁻¹(f(x)) = x. By applying this property, we have:

f⁻¹(f(6.022)) = 6.022.

From the table, we have:

f⁻¹(-10) = -6

f(-6) = -10

Therefore, f⁻¹(-10) + f(-6) is given by:

f⁻¹(-10) + f(-6) = -6 - 10

f⁻¹(-10) + f(-6) = -16.

Read more on invertible function here: brainly.com/question/15635761

#SPJ1

7 0

2 years ago

Which equation represents a proportional relationship?

faust18 [17]

Y=4x+1 is the answer to your question

8 0

3 years ago

What is the area of the shaded region below?

vaieri [72.5K]

Answer:

Step-by-step explanation:

Remark

The triangle with the shaded region makes exactly 1/4 of the entire circle. So the plan is to find the area of the circle and divide by 4. That gives you the area of the triangle and the shaded region. Then you find the area of the triangle and subtract it from what you just found.

Area of the circle

Area of the circle = pi * r^2

r = 12 cm

pi = 3.14

Area of the circle = 3.14 * 12^2

Area of the circle = 3.14 * 144

Area of the circle = 452.16 cm^2

Area of 1/4 of the circle

Area of 1/4 of the circle = (1/4)*452.16

Area of 1/4 of the circle = 113.04

Area of the triangle

b = r

h = r

b = 12 cm

h = 12 cm

Area = 1/2 b * h

area = 1/2 * 12 * 12

area = 72

Area of the shaded part

Shaded part = area of 1/4 of the circle - area of triangle

Area shaded part = 113.04 - 72 = 41.04

Answer area of shaded part = 41.04

7 0

3 years ago