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____ [38]
2 years ago
5

Which values complete the function? f(x) = (x – )(x ).

Mathematics
1 answer:
ryzh [129]2 years ago
6 0

The values needed for completing the function to match with its graph is f(x) = -(x+4)(x-3)

<h3>How to find the function which was used to make graph?</h3>

There are many tools we can use to find the information of the relation which was used to form the graph.

  • A graph contains data of which input maps to which output.
  • Analysis of this leads to the relations which were used to make it.
  • For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
  • If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

The graph of the considered problem which is missing is attached below.

Let the completed function is

f(x) = a(x-b)(x-c)\\

Then the roots of the function would be the values of x at which the function becomes 0, and they are x = b and x = c

Since the graph crosses the x axis at -4 and 3, therefore, as the points on x axis are the roots of the functions of variable x, therefore, we get:

b and c to be -4 and 3, therefore, the function is

f(x) = a(x-(-4))(x-3) = a(x+4)(x-3)

Since the function crosses the y axis at y = 12, and since on y axis, the value of x is 0, therefore, putting x = 0, and equating the output to 12, we get:

f(x) = a(x+4)(x-3)\\12 = a \times 4 \times -3\\12 = a \times -12\\\\\text{Dividing both the sides by -12}\\\\\dfrac{12}{-12} = a\\\\a = -1

Therefore, the completed function would look like:

f(x) = -(x+4)(x-3)

Thus, the values needed for completing the function to match with its graph is f(x) = -(x+4)(x-3)

Learn more about roots of a polynomial function here:

brainly.com/question/19508384

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Can anybody help me with this ?
BabaBlast [244]

Answer:

1st scenario: 163.3°

2nd scenario: 125.2°

3rd scenario: 142.3°

Step-by-step explanation:

1st scenario: angles 1 and 2 form a linear pair and add up to 180

2nd scenario: angles 1 and 4 are same-side interior and add up to 180

3rd scenario: angles 1 and 8 are corresponding and equal; if angle 7 is 37.7 then angle 8 is 142.3 (they form a linear pair). Since angles 1 and 8 are equal then angle 1 is also 142.3

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2 years ago
Describe the pattern, write the next term, and write a rule for the nth term of the sequence,
vagabundo [1.1K]

Step-by-step explanation:

Next term is - 51

Use formula Tn=a+(n-1)d

a=the first term of the sequence which is - 15

d=the difference between the terms which is - 9

Substitute

Tn=-15+(n-1)(-9)

Tn=-15+9-9n

Tn=-9n-6

From this you will be able to generate all the terms in the pattern

If they say determine the 50th term just substitute 50 by n

Tn=-9(50)-6

Tn=-450-6

Tn=-456

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3 years ago
3 over 4 x minus 3 +1 over 4x= 2 1over2 minus 1 over 4
Dima020 [189]

It should be x=5\frac{1}{4}.

8 0
2 years ago
How much is 14 divided by 8218
s344n2d4d5 [400]
The answer should be 0.001703578
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3 years ago
which answer choice explains the pattern for how to find the slope using an equation in standard form?
Liono4ka [1.6K]

Question is using standard formula ax+by=c to find the slope by converting into slope intercept form y=mx+b

so we also need to convert ax+by=c into y=mx+b as shown below:

ax+by=c

ax+by-ax=c-ax

by=-ax+c

divide both sides by

y=-\frac{a}{b}x+\frac{c}{b}

Now compare it with y=mx+b, we get

m=-\frac{a}{b}

So using values of a and b, we can find the slope


compare given equation -5x+2y=15 with ax+by=c, we get:

a=-5, b=2

Now plug both into above formula

m=-\frac{a}{b}

m=-\frac{-5}{2}

m=\frac{5}{2}


Now matching these details with given choices we find that THIRD choice is the final answer.

7 0
3 years ago
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