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3 years ago

What is the graph of the function f(x) = 1/3x^2

Mathematics

1 answer:

Gnesinka [82]3 years ago

5 0

Answer: See the figure attached.

Step-by-step explanation:

1. The function shown is of a parabolic equation whose coefficient is positive. This means that the graph will have the shape of a concave parabola.

2. To verify it we can introduce values to the function. Then, you have:

x y

0 0

1 1/3

-1 1/3

2 4/3

-2 4/3

We can see that the function shown in the graph does not match that of the equation $\frac{1}{3}x^2$

The graph of this function is shown in the fimage attached.

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9x² - 12x + 4 <br><br>pls need ans.

kolezko [41]

Step-by-step explanation:

$\tt{9 {x}^{2} - 12x + 4}$

Here, the second order of polynomial ax² + bx + c is factorized and expressed as the product of two linear factors. First, we have to find the two numbers that adds to 12 and if we multiply those numbers , we get 36 ( The two numbers should be 6 and 6 ).

⟶ $\tt{9 {x}^{2} - (6 + 6)x + 4}$

⟶ $\tt{9 {x}^{2} - 6x - 6x + 4}$ { Distribute x through the parentheses )

⟶ $\tt{ \underbrace{9 {x}^{2} - 6x}} \: - \underbrace{6x + 4}$

⟶ $\tt{3x(3x - 2) - 2(3x - 2)}$

⟶ $\tt{(3x - 2)(3x - 2)}$

⟶ $\tt{ {(3x - 2)}^{2} }$

$\pink{ \boxed{ \boxed{ \tt{ Our \: final \: answer : \boxed{ \underline{ \tt{{(3x - 2)}^{2} }}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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3 years ago

T or F:

Marina CMI [18]

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true because you can do that in a amound of the total

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3 years ago

A geometric sequence is defined by the function f(1) = a1 = 6 and f(n) = an = (1.2)*f(n - 1) for n ≥ 2. Find f(38). A) 273.6 B)

inna [77]

Given that the geometric series is given by:
f(n)=an=1.2f(n-1) where a1=6, then f(38) will be found as follows:
a2=1.2f(2-1)=1.2f(1)=1.2*6=7.2
a3=1.2f(3-1)=1.2f(2)=8.64
thus the common ratio is r=1.2
but
explicit formula for geometric sequence is:
an=ar^(n-1)
thus plugging our values:
f(38)=6(1.2)^(38-1)
f(38)=5103.3735

Answer: <span>C) 5103.3735</span>

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Molodets [167]

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