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2 years ago

Which is the correct input-output table for the function f(x)=3/x+4

Mathematics

2 answers:

Xelga [282]2 years ago

5 0

For the answer to the question above,
It seems the function f(x) is 3/(x+4).

If the function is f(x) = 3 / (x + 4), a table could be

x f(x)

-8 -3/4

-7 -1

-6    -3/2

-5    -1

(-4 is no a valid input)

- 3 3

- 2    3/2

-1    1

0 3/4

1    3/5

2    3/6 = 1/2

3    3/7

4    3/8

If the function is f(x) = (3/x) + 4

Just substitute different values for x and obtain the respective outputs. In this case, x has to be different of o, i.e. 0 is not a valid input.

sergij07 [2.7K]2 years ago

5 0

Its the second choice.

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Answer ASAP, Find the quadratic equations whose roots are ½ and -5/2

ArbitrLikvidat [17]

Answer:

4x^2+8x-5

Step-by-step explanation:

You work backwards to get (2x-1) which gets you the root 1/2 and (2x+5) which gets you the root -5/2 after this you foil what you have so (2x-1) times (2x+5). You do 2x times 2x which gives you 4x^2 2x times 5 which gives you 10x -1 times 2x which gives -2x and lastly -1 times 5 which gives you -5 now you combine like terms and get your final answer of 4x^2+8x-5

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3 years ago

Allan keeps tropical fish his aquarium is 4 feet long ,1 foot wideand 2 feet tall each fish needs atleast 0.5ft 3 of water what

Alik [6]

Answer: There are 16 fish that he can keep in the aquarium.

Step-by-step explanation:

Since we have given that

Length of aquarium = 4 feet

Width of aquarium = 1 foot

So, it forms a shape of cuboid.

As we know the formula for "Volume of Cuboid":

$Volume=Length\times Breadth\times Height\\\\Volume=4\times 1\times 2\\\\Volume=8\ ft^3$

According to question, Each fish needs atleast 0.5 cubic feet of water.

So, Number of fish that he can keep in the aquarium is given by

$\frac{8}{0.5}=16$

Hence, there are 16 fish that he can keep in the aquarium.

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2 years ago

Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline

Vanyuwa [196]

You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

$y = \log_{0.5}(x)\\\\$
$y = \log_3(2+x)$

<h3>How can we form a system of equations from an equation?</h3>

Suppose the equation be $a = b\\$

Let there is a symbol $c$ such that we have $a = b = c$

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

$a = c\\b = c$

in addition to $a = b\\$

<h3>Using the above method to find the system of equations needed</h3>

Since the given equation is $log_{0.5}(x) = log_2(2+x)$

The 2d graphs are usually expressed as $y = f(x)$ on X-Y plane.

Taking the equation's expressions equal to y, we get

$log_{0.5}(x) = log_2(2+x) = y$

or, we get system of equations as

$y = log_{0.5}(x)\\\\y = log_3{(2 + x)}$

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is