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eimsori [14]
3 years ago
5

Which function is linear?

Mathematics
1 answer:
gavmur [86]3 years ago
7 0

Answer: A linear function is a type of function that when graphed are a straight line.

  • Examples: In attachment - Red = Nonlinear Blue = Linear.

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Use the intermediate value theorem to prove that there is a positive number c such that c2 = 2.
schepotkina [342]

So lets try to prove it,

So let's consider the function f(x) = x^2.

Since f(x) is a polynomial, then it is continuous on the interval (- infinity, + infinity).

Using the Intermediate Value Theorem,

it would be enough to show that at some point a f(x) is less than 2 and at some point b f(x) is greater than 2. For example, let a = 0 and b = 3.

Therefore, f(0) = 0, which is less than 2, and f(3) = 9, which is greater than 2. Applying IVT to f(x) = x^2 on the interval [0,3}.

Learn more about Intermediate Value Theorem on:

brainly.com/question/11377865

#SPJ4

6 0
1 year ago
The goals against average (A) for a professional hockey goalie is determined using the formula A = 60 a equals 60 left-parenthes
Marina CMI [18]

Answer:

Option 1 - \frac{At}{60}=g

Step-by-step explanation:

Given : The goals against average (A) for a professional hockey goalie is determined using the formula A=60(\frac{g}{t} ). In the formula, g represents the number of goals scored against the goalie and t represents the time played, in minutes.

To find : Which is an equivalent equation solved for g?

Solution :

Solve the formula in terms of g,

A=60(\frac{g}{t})

Multiply both side by t,

At=60g

Divide both side by 60,

\frac{At}{60}=\frac{60g}{60}

\frac{At}{60}=g

Therefore, option 1 is correct.

4 0
2 years ago
Read 2 more answers
A baker is making cakes for a big party. She uses 1/4 cup of oil for each cake. How many cakes can she make if she has a bottle
Svetradugi [14.3K]

Answer:

24 Cups

Step-by-step explanation:

you just need to divide 6 by 1/4, whihc equals 24/1

3 0
2 years ago
F(x)=3x−4g(x)=−x2+2x−5h(x)=2x2+1j(x)=6x2−8xk(x)=3x2−x+7 Calculate (fh)(x).
elena-s [515]

Answer:

( f h ) (x)  = 6 x² - 1

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given<em> f(x)   =  3 x - 4</em>

         g (x)  = −x²+2 x−5

      <em>   h (x)  = 2 x² + 1</em>

         j (x)    = 6 x + 2 - 8 x

        K (x)   = 3 x² - x + 7

<u><em>Step(ii)</em></u>:-

<em>( f h ) (x) = f ( h (x)) = f ( 2 x² + 1 )</em>

                            =  3 (2 x² + 1 ) - 4

                            =  3 ((2 x² ) + 3 - 4

                           =   <em>6 x² - 1</em>

<u><em> Final answer:</em></u>-

∴ <em> ( f h ) (x)  = 6 x² - 1</em>

3 0
2 years ago
Find the constant of variation for the relationship f(x)= 50x.
djyliett [7]
<span>f(x)= 50x
</span><span>y = k x
k is variation
so k= 50
D is the right option
hope it helps
</span>
3 0
2 years ago
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