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eduard
3 years ago
12

Consider the function represented by the equation y – x – 4 = 0. What is the equation written in function notation, with x as th

e independent variable?
Mathematics
2 answers:
Damm [24]3 years ago
7 0
Well, in slope-intercept form, the equation will be y = x + 4. In standard form, the equation will be x - y = -4.
Nadya [2.5K]3 years ago
7 0

Answer:

y = x+4

Step-by-step explanation:

Given : The function represented by the equation y - x- 4 = 0

To Find: What is the equation written in function notation, with x as the independent variable?

Solution:

y - x- 4 = 0

\Rightarrow y- x = 4

\Rightarrow y = x+4

Now y depends on x

So, x is an independent variable.

Hence  the equation written in function notation, with x as the independent variable is y = x+4

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In order to either condense or expand logarithms using their properties, what must be?
jasenka [17]

Answer:

Answer C

Step-by-step explanation:

The rules of logarithmic functions require the two log functions to have the same base. If they do not have the same base, you cannot apply any of the rules.

5 0
2 years ago
Read 2 more answers
Help it’s slope idk how to do it
Over [174]

a. \boxed{y-602=\frac{2}{3}(x-3)}

b. For every month the pine tree grows about 0.67 inches.

c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.

<h2>Explanation:</h2>

<h3>PART A.</h3>

In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:

P_{1}(3,602) \\ \\ P_{2}(6,604) \\ \\ P_{3}(q,606) \\ \\ P_{4}(12,608)

It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.

The point slope form of the equation of a line is:

y-y_{1}=m(x-x_{1}) \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{1}, y_{1}):A \ point \ on \ the \ line

Finding (m):

Using: \\ \\ P_{1}(x_{1},y_{1}) \rightarrow P_{1}(3,602) \\ \\  P_{2}(x_{2}, y_{2}) \rightarrow P_{2}(6,604) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{604-602}{6-3} \\ \\ m=\frac{2}{3}

Finally, the equation of the line is:

(x_{1}, y_{1}) \rightarrow (3,602) \\ \\ \boxed{y-602=\frac{2}{3}(x-3)}

<h3>PART B.</h3>

In this case, we have that:

  • The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
  • The y-axis represents the <em>Height  of the Tree </em>in inches.

Since the slope o a line is:

Slope=\frac{Change \ in \ y}{Change \ in \ x}=\frac{2}{3}

Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>

<h3>PART C.</h3>

The y-intercept can be found setting x=0. So, from our equation:

y-602=\frac{2}{3}(x-3)} \\ \\ \\ If \ x=0: \\ \\ y-602=\frac{2}{3}(0-3) \\ \\ y-602=-2 \\ \\ Solving \ for \ y: \\ \\ y=602-2 \\ \\ y=600

So the y-intercept is y=600 and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>

<h2>Learn more:</h2>

Slope Intercept form: brainly.com/question/4192440

#LearnWithBrainly

4 0
3 years ago
Solve for z. 5z – 8 = 32
jarptica [38.1K]
The answer would be 8
5 0
3 years ago
6ab + a(a – b – 6b) + 4a(2b +a) – ab , para a= -1 e b=2<br><br><br> ME AJUDEM! É URGENTE
Marianna [84]

Answer:

-81

Step-by-step explanation:

replace the numbers you were given in a or b.

so

6(-12) -1(-1 – 2 – 6(2)) + 4(-1)(2(2) -1) -12

6 0
3 years ago
16+1008=<br><br> 56+20<br><br> please help me
kicyunya [14]
16+1008 = 1024

56+20=76
7 0
2 years ago
Read 2 more answers
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