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1 year ago

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Mathematics

1 answer:

harkovskaia [24]1 year ago

7 0

A statement that is assumed to be true without proof is a(n) Theorem

A statement that has been shown to be true by vigorous application of logic is a(n) ---> Conjecture

A(n) Axiom is a statement that is believed to be true but hasn't been proven.

<h3 /><h3>What's the big difference between a definition and a theorem?</h3>

A definition is both a precise and a general statement of the significance of a mathematical term.

It does this by laying down all of the characteristics of the word together with the structures that need to be true.

This is how the meaning of the word is defined. A mathematical assertion that can be demonstrated using logically sound mathematical reasoning is called a theorem.

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G(x)=-x + 4x<br> h(x)=4x + 2<br> Find (g-h)(-4x)<br> How do I answer this question

Digiron [165]

Answer:

(g - h)(-4x) = 4x - 2

Step-by-step explanation:

This problem is one dealing with "composite functions." We are given the definitions of functions g(x) and h(x) and are asked to find the difference between g and h, namely, what is left if we subtact h from g. After having done that, we replace x in this composite function with the input (-4x).

The difference (g - h)(x) is as follows: g(x) - h(x) = -x + 4x - [4x + 2].

If we simplify the algebra, we get g(x) - h(x) = -x + 4x - [4x + 2] = -x - 2.

Next, substitute -4x for x in this last result. We get (g - h)(-4x) = 4x - 2.

Please note: You might want to check out your g(x) = -x + 4x. Normally we would write this as +3x.

4 0

3 years ago

An airplane is flying from new york city to los angeles. The distace it travels in miles, d, is related to the time in seconds,

elena-s [515]

Answer:

The plane is flying at a speed of 0.15 miles/seconds

Step-by-step explanation:

To determine how fast the airplane is flying, we will determine the speed of the airplane.

Speed can be calculated from the formula

Speed = Distance traveled / Time taken

From the question, the distance, d, the airplane travels in miles is related to time, t, in seconds by the equation d = 0.15t. This means after t seconds, the airplane has traveled 0.15t miles. Then we can write that

Distance traveled = 0.15t miles

and Time taken = t seconds

From the formula

Speed = Distance traveled / Time taken

∴ Speed = 0.15t miles / t seconds

Speed = 0.15 miles/seconds

Hence, the speed of the plane is 0.15 miles/seconds.

That is, the plane is flying at 0.15 miles/seconds.

5 0

3 years ago

Read 2 more answers

Raoul is y years old . Kayla is 6 years older than raoul and lsaac is 4 years younger than raoul find kaylas age

Natali [406]

Answer:

Step-by-step explanation:

Let Kayla's age be k.

Let Isaac's age be a.

Kayla is 6 years older than Raoul. This means that:

k = y + 6

lsaac is 4 years younger than Raoul. This means that:

a = y - 4

y = 12

=> k = 12 + 6 = 18

and

a = 12 - 4 = 8

The sun of Raoul's age and Isaac's age is:

12 + 8 = 20

3 0

4 years ago

There are 500 sheets of paper in one ream. The counter on a copier says that 23,500 copies have been made. How many reams of pap

Anvisha [2.4K]

The answer to your question is 47 reams. I believe

5 0

3 years ago

Can someone please help

iren [92.7K]

So the sides ML and MN are exactly the same. Your equation would look something like this...
3x = x + 10
You first subtract x from both sides to isolate the variable.
2x = 10
Divide 2 from both sides.
x = 5
5 is the length of MN.
I hope this helps love! :)

3 0

3 years ago