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Juli2301 [7.4K]
3 years ago
11

Write the equation of the line that passes through the point (-2,7)and has a slope of -5

Mathematics
1 answer:
swat323 years ago
8 0

Answer:

y = -2x - 3

Step-by-step explanation:

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5 is subtracted from three-fifths of x...please someone translate this expression for me.​
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For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i
daser333 [38]
<h2>Hello</h2>

The answers are:

a) The name of the function is g, and it's an Exponential Function.

b) Independent variable : x , dependent variable : g(x)/y

c) The rule that assigns exactly one output to the very input is called "function".

d) g(4)=2^{4}+12=16+12=28

<h2>Why?</h2>

Usually, the name of a function (g(x)) is given by letter that is out of the parentheses. For this exercise,  the name of the function is "g", and it's an Exponential Function.

The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".

The dependent variable is the function itself (g(x)), it's also called "y",  and it's called "dependent" variable because its values will always depend on the "independent variable".

A function is the rule that states that there is exactly one output (range value) to the each input (domain value).  A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.

To evaluate a function we need to assign values to the independent variable(x), therefore:

g(4)=2^{4}+12=16+12=28

Have a nice day!

8 0
3 years ago
Find the equation of the line that is perpendicular to y = – 1 4 x – 8 and passes though the point (2, –4).
vivado [14]

The equation of the line is y=\frac{1}{4}x-\frac{29}{7}

Explanation:

The equation of the line is perpendicular to y=-14 x-8

The equation is of the form y=mx+b where m=-14

<u>Slope:</u>

The slope of the perpendicular line can be determined using the formula,

m_1 \cdot m_2=-1

-14 \cdot m_2=-1

       m_2=\frac{1}{14}

Thus, the slope of the line is m=\frac{1}{14}

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting the slope m=\frac{1}{14} and the point (2,-4), we get,

y+4=\frac{1}{14}(x-2)

Simplifying, we get,

y+4=\frac{1}{14}x-\frac{1}{7}

     y=\frac{1}{14}x-\frac{1}{7}-4

     y=\frac{1}{4}x-\frac{29}{7}

Thus, the equation of the line is y=\frac{1}{4}x-\frac{29}{7}

3 0
3 years ago
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