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Black_prince [1.1K]
3 years ago
12

What function is graphed below?

Mathematics
2 answers:
Rudik [331]3 years ago
6 0
<h2>Answer:</h2>

The function whose graph is given to us is:

                f(x)=\log (x-3)

<h2>Step-by-step explanation:</h2>

By looking at the graph of the function f(x) we observe that when x=4 then the value of the function is zero.

                  i.e. f(x)=0 at x=4.

( If:

f(x)=\log (x+3)

then at x=4 we have:

f(x)=\log 7\neq 0

If:

f(x)=\log x+3

then at x=4 we have:

f(x)=\log 4+3\neq 0

( since, \log 4>0

If:

f(x)=\log x-3

then at x=4 we have:

f(x)=\log 4-3\neq 0

since,

0 )

Hence, the only function which satisfies this property is:

f(x)=\log (x-3)

since, at x=4

we have:

f(x)=\log (4-3)\\\\i.e.\\\\f(x)=\log 1\\\\i.e.\\\\f(x)=0

Hence, the answer is:

                          f(x)=\log (x-3)

tester [92]3 years ago
3 0
The answer for the exercise shown above is the first option, which is:
<span> f(x)=log(x-3) 
 The explanation is shown below:
 If you substitute the x in the function for values, you will obtain the graph attached above. As you can see on the mentioned graph, when the variable x has the value 4, the value y is 0. Therefore, you have:
 </span> f(x)=log(x-3) 
  f(x)=log(4-3) 
  f(x)=log(1)
  f(x)=0<span>
 </span>
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4 0
3 years ago
The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers. Show ho
olya-2409 [2.1K]
Set up two equations.
s + 12 = l , s + l = 74     (these equations represent the problem)

 s + (s + 12) = 74           plug in "l" to the second equation.

2s + 12 = 74               combine like terms.

2s + 12 - 12 = 74 - 12     subtract to isolate the variable

2/2s = 62/2     divide to isolate the variable.

s = 31.       This means the smaller number is 31.

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l = 43              the larger number has a value of 43.

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hope this helps! :D
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Three plots of farmland are for sale. Each plot is a different size. Plot
Rus_ich [418]

Answer:

Paydirt may be the answer

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3 years ago
Find the prime factorization for 100.
OleMash [197]

Answer:

100

Step-by-step explanation:

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8 0
3 years ago
Use the function f(x) to answer the questions.
fiasKO [112]

Answer:

Below in bold.

Step-by-step explanation:

A. −16x2 + 24x + 16 = 0

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-8(2x + 1 )(x - 2) = 0

x = -0.5, 2.

So the x-intercepts are (-0/5, 0) and (2, 0).

B.  As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.

To find its coordinates we convert the function to vertex form:

f(x) =  −16x2 + 24x + 16

=  -16(x^2 - 1.5x) + 16

Completing the square on  contents of the parentheses:

= -16 [(x - 0.75)^2  - 0.75^2] + 16

= -16(x - 0.75)^2  - 16 * -0.75^2 + 16

= -16(x - 0.75)^2 + 9 + 16

= -16(x - 0.75)^2 + 25.

So the coordinates of the vertex are (0.75, 25)

3 0
2 years ago
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