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3 years ago

State whether the given equation or function is linear. Write yes or no. Explain your reasoning. f(x) = 7x2 + 4

Mathematics

2 answers:

saveliy_v [14]3 years ago

6 0

Hey there!

Here goes your answer ↓

Question:- State whether the given equation or function is linear. Write yes or no. Explain your reasoning. f(x) = 7x² + 4

(a) Yes, the equation is linear. It is of the form f(x) = m + b

(b) Yes, the equation is linear form. It is of the form f(x) = mx + b.

(d) No, the equation is not linear. It is not of the form f(x) = mx + b.

Answer :- Option (D)

Explanation :- 

Given equation :- f(x) = 7x² + 4

•The form of any equation should be → y - mx + b

The given equation does not satisfy the above rule, and hence it is not a linear equation.

Hope it helps.

Have a great day ahead!

vagabundo [1.1K]3 years ago

4 0

For this case we have the following function:

$f (x) = 7x ^ 2 + 4$

By definition, we have that a linear equation is of the form $y = mx + b$

On the other hand, a quadratic equation is of the form $y = ax ^ 2 + bx + c$

Then, the given equation is not a linear equation, it is not of the form $y = mx + b$

Answer:

No, the equation is not linear. It is not of the form $f (x) = mx + b.$

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damaskus [11]

Answer:

The minimum average cost per dulcimer is 150 and the minimum cost is $180.

Step-by-step explanation:

The given cost function is

$C(x)=0.2x^2-0.6x+2.250$

Differentiate the function C(x) with respect to x.

$C'(x)=0.2(2x)-0.6(1)+(0)$

$C'(x)=0.4x-0.6$

Equate C'(x)=0, to find the critical values.

$C'(x)=0$

$0.4x-0.6=0$

$0.4x=0.6$

Divide both sides by 0.4.

$x=\frac{0.6}{0.4}$

$x=1.5$

Differentiate the function C'(x) with respect to x.

$C''(x)=0.4(1)$

$C''(x)=0.4$

At x=1.5

$C''(1.5)=0.4$

The value of double derivative is positive. It means the function is minimum at x=1.5 hundred.

1.5 hundred = 150

Substitute x=1.5 in the given function to find the minimum average cost.

$C(1.5)=0.2(1.5)^2-0.6(1.5)+2.250$

$C(1.5)=1.8$

The minimum cost is 1.8 hundred dollars.

1.8 hundred dollars = $180

Therefore, the minimum average cost per dulcimer is 150 and the minimum cost is $180.

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2 years ago

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Unsaved?

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3 years ago

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2 years ago

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Jobisdone [24]

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2 years ago

Helppp i need answer now will give points

Papessa [141]

Answer:

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Step-by-step explanation:

We are told to solve for f(g(3)). This is also saying f of g of 3.

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3 years ago