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3 years ago

An unproven statement that is based on observations.

Mathematics

1 answer:

vazorg [7]3 years ago

7 0

Answer:

Hypothesis

Step-by-step explanation:

When people make researches, they make a statement and then go further to either price that statement wrong or right.

Once the statement is proven right, either by virtue of field work or laboratory work, it becomes a theory.

That unproven statement that can either be true or wrong, but baseless because it is yet to be proven is called HYPOTHESIS

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If f (x)= x-3 and g (x)= 2x-4, find (f+g)(x)

const2013 [10]

(f∘g)(x) is equivalent to f(g(x)). We solve this problem just as we solve f(x). But since it asks us to find out f(g(x)), in f(x), each time we encounter x, we replace it with g(x).

In the above problem, f(x)=x+3.

Therefore, f(g(x))=g(x)+3.

⇒(f∘g)(x)=2x−7+3

⇒(f∘g)(x)=2x−4

Basically, write the g(x) equation where you see the x in the f(x) equation.

f∘g(x)=(g(x))+3 Replace g(x) with the equation

f∘g(x)=(2x−7)+3

f∘g(x)=2x−7+3 we just took away the parentheses

f∘g(x)=2x−4 Because the −7+3=4

This is it

g∘f(x) would be the other way around

g∘f(x)=2(x+3)−7

now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them.

g∘f(x)=2x+6−7

Next, +6−7=−1

g∘f(x)=2x−1

Its a lts easier than you think!

Hope this helped

5 0

4 years ago

Find the angle [OA] makes with the positive x-axis if the x-coordinate of the point A on the unit circle is 0.222

EastWind [94]

By using the concepts of unit circle and trigonometric functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.

<h3>How to find an angle in an unit circle</h3>

Unit circles are circles with radius of 1 and centered at the origin of a Cartesian plane, which are used to determine angles and trigonometric functions related to them. If we use rectangular coordinate system and the definition of the tangent function, we find that the angle OA is equal to:

$\tan \theta = \frac{\sqrt{1 - x^{2}}}{x}$

$\tan \theta = \frac{\sqrt{1-0.222^{2}}}{0.222}$

tan θ ≈ 77.173°

By using the concepts of unit circle and trigonometric functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.

To learn more on unit circles: brainly.com/question/12100731

#SPJ1

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2 years ago

What is the value of the expression when a = 4, b = 3 ,and c = 10? 3a4b−c

Zielflug [23.3K]

Answer:

3*4 3a=

4*3 4b=

-c=

3a4b-c=134

7 0