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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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Read 2 more answers

The floor of a triangular room has an area of 32 1/2 sq.m. If the triangle’s altitude is 7 172 m, write an equation to determine

sineoko [7]

Answer:

$\frac{(2)A}{h} =b$

b=0.00906m

Step-by-step explanation:

Hello! To solve this exercise we must remember that the area of any triangle is given by the following equation

$A=\frac{bh}{2}$

where

A=area=32.5m^2

h=altitude=7172m

b=base

Now what we should do take the equation for the area of a rectangle and leave the base alone, remember that what we do on one side of the equation we must do on the other side to preserve equality

$A=\frac{bh}{2} \\\frac{2}{h} A=\frac{bh}{2} \frac{2}{h} \\$