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AnnZ [28]
3 years ago
9

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.

(c) No, the equation is not linear. It is in the form x + y = c.

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

<em>Answer</em> :- <em>Option</em><em> </em><em>(</em><em>D</em><em>)</em><em> </em>

<em>Explana</em><em>tion</em><em> </em><em>:</em><em>-</em><em> </em>

<em> </em><em>Given</em><em> </em><em>equ</em><em>ation</em><em> </em><em>:</em><em>-</em><em> </em><em>f(x) = 7x</em><em>²</em><em> + 4 </em>

<em>•</em><em>T</em><em>h</em><em>e</em><em> </em><em>form</em><em> </em><em>of</em><em> </em><em>any</em><em> </em><em>equation </em><em>should</em><em> </em><em>be</em><em> </em><em>→</em><em> </em><em>y</em><em> </em><em>-</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em>

<em><u>The</u></em><em><u> </u></em><em><u>given </u></em><em><u>equation</u></em><em><u> </u></em><em><u>does</u></em><em><u> </u></em><em><u>not</u></em><em><u> </u></em><em><u>satisfy</u></em><em><u> </u></em><em><u>the </u></em><em><u>above</u></em><em><u> </u></em><em><u>rule</u></em><em><u>,</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>hence </u></em><em><u>it </u></em><em><u>is</u></em><em><u> </u></em><em><u>not</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>linear</u></em><em><u> </u></em><em><u>equation.</u></em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>

<em>Have</em><em> </em><em>a</em><em> </em><em>great</em><em> </em><em>day </em><em>ahead!</em>

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 formy = 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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Simplify the following expression by combining like terms.<br> 3x + 4x² - 7x+ 9x2
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2 years ago
You interview 913 persons and only 5 prefer Cajun food. What percentage prefer Cajun food?
noname [10]
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I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)
3 0
3 years ago
Read 2 more answers
(I've been trying to figure this out for 3 days and I really need help)
liq [111]

Check the picture below.

since the diameter of the cone is 6", then its radius is half that or 3", so getting the volume of only the cone, not the top.

1)

\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \implies V\approx 37.7

2)

now, the top of it, as you notice in the picture, is a semicircle, whose radius is the same as the cone's, 3.

\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=3 \end{cases}\implies V=\cfrac{4\pi (3)^3}{3}\implies V=36\pi \\\\\\ \stackrel{\textit{half of that for a semisphere}}{V=18\pi }\implies V\approx 56.55

3)

well, you'll be serving the cone and top combined, 12π + 18π = 30π or about 94.25 in³.

4)

pretty much the same thing, we get the volume of the cone and its top, add them up.

\bf \stackrel{\textit{cone's volume}}{\cfrac{\pi (3)^2(8)}{3}}~~~~+~~~~\stackrel{\stackrel{\textit{half a sphere}}{\textit{top's volume}}}{\cfrac{4\pi 3^3}{3}\div 2}\implies 24\pi +18\pi \implies 42\pi ~~\approx~~131.95~in^

8 0
3 years ago
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