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2 years ago

Which statement describes the behavior of the function f (x) = 3x/4-x

Mathematics

2 answers:

Luba_88 [7]2 years ago

8 0

The graph approaches 0 as x approaches infinity.

Step-by-step explanation:

The behavior of the graph is presented by the function;

f(x)= 3x/4-x

Forming a table to see the behavior,

x f(x)

1 1

2 3

3 9

4 infinity

5 -15

6 -9

7 -7

8 -6

This shows that as value of x approaches positive infinity, the value of f(x) approaches 0.

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Functions :brainly.com/question/11275875

Keywords : statements, behavior, function, graph

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Helga [31]2 years ago

7 0

Answer:

The graph approaches 0 as x approaches infinity.

Step-by-step explanation:

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After transforming f(x) = 2x² +4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex?

jolli1 [7]

The vertex is $(-1,1)$

Explanation:

The equation is $f(x)=2x^{2} +4x+3$

To find the vertex, we need the equation in the form of $f(x)=a (x-h)^{2}+k$

Dividing each term by 2 in the equation $f(x)=2x^{2} +4x+3$

$f(x)=2(x^{2} +2x+\frac{3}{2} )$

Now, completing the square by adding and subtracting 1, we get,

$f(x)=2(x^{2} +2x+1-1+\frac{3}{2} )$

The first three terms can be written as $(x+1)^{2}$ ,

$f(x)=2[(x+1)^{2}+\frac{1}{2} ]$

Multiplying 2 into the bracket, we get,

$f(x)=2(x+1)^{2} +1$

This equation is of the form $f(x)=a (x-h)^{2}+k$

Now, we shall find the vertex $(h,k)$

Thus, $h=-1$ and $k=1$

Thus, the vertex is $(-1,1)$

7 0

2 years ago

At Hoffman's Bike Rentals, it costs $29 to rent a bike for 6 hours.

pochemuha

Answer:

$4.83

Step-by-step explanation:

If it costs $29 for 6 hours, then it costs $29/6 or 4.83 for each hour of use.

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1 year ago

Last week during swim practice, Kamil swam 19 laps in 10.8 minutes. This week at swim practice, Kamil swam 18 laps in 12.6 minut

Lerok [7]

12.6min-10.8min =1.8min

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3 years ago

Question # 5 what is the sum?

Blizzard [7]

Answer: C) d+13/d+4

Here’s why:

Step 1: Rewrite the factor
d^2 + 7d +4d +28 / (d+4)^2 + 6 / d+4

Step 2 : factor out d from the expression and factor out 4 from the expression
d × (d+7) + 4(d+7) / (d+4) ^2 + 6 / d+4

Step 3: Factor out d+7 from the expression
(d+7) × (d+4) / (d+4) ^2 + 6 / d+4

Step 4: simply the expression
d+7 / d+4 + 6/ d+4

Step 5: write all numerators above the common denominator
d+7+6 / d+4

Step 6: add the numbers and you get
d+13 / d+4

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3 years ago

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wolverine [178]

Answer:

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Step-by-step explanation:

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2 years ago

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