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Lemur [1.5K]
3 years ago
10

F(x)=x+7 if you know the domain is {-9,-3} then the range must be?

Mathematics
1 answer:
RSB [31]3 years ago
7 0
Domain is the set of x-values and range is the set of images f(x).

x           F(x) = x + 7

-9         -9 + 7 = -2

-8         -8 + 7 = -1

-7          -7 + 7 = 0

-6           -6 + 7 = 1

-5           -5 + 7 = 2

-4           -4 + 7 = 3

-3           -3 + 7 = 4

So the range is {-2,4} <------ answer
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Write the equation of a line through points (5,5) and 1,0) in point slope form.
Sloan [31]
<h2>Hello!</h2>

The answer is:

The correct option is the first option,

y=\frac{5}{4} (x-1)

<h2>Why?</h2>

To solve this problem, we need to remember that the point-slope form of a line is given by the following equation:

y-y_{1}=m(x-x_{1})\\\\y-0=\frac{5}{4}(x-1)

We are given two points of the line,

(5,5)\\(1,0)

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x=5\\x_{1}=1\\y=5\\y_{1}=0\\

Then, substituting the given points into the equation ,to calculate m (slope), we have:

m=\frac{y-y_{1}}{x-x_{1}}

m=\frac{5-0}{5-1}=\frac{5}{4}

The slope of the function is \frac{5}{4}

Now, substituting "x1" and "y1" and the slope in the point-slope equation, we have:

(y-0)=\frac{5}{4} (x-1)

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Hence, the correct option is the first option,

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Have a nice day!

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4 years ago
Read 2 more answers
Select TWO possible values for x in the equation x2=45.
kirill [66]

Answer:

3 \sqrt 5}  and -3 \sqrt 5}

Step-by-step explanation:

Given

x^2 = 45

Required

Determine the values of x

x^2 = 45

Take square root of both sides

\sqrt{x^2} = \±\sqrt{45}

x = \±\sqrt{45}

Expand 45 as 9 * 5

x = \±\sqrt{9 * 5}

Split the square root

x = \±(\sqrt{9} *\sqrt 5}

x = \±3 *\sqrt 5}

x = \±3 \sqrt 5}

This can be further split to:

x = 3 \sqrt 5} or x = -3 \sqrt 5}

Hence, the possible values of x are

3 \sqrt 5}  and -3 \sqrt 5}

5 0
3 years ago
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podryga [215]

Answer:

The distance between 2 points on a graph is given as:

root over of ((x2-x1)^2 + (y2-y1)^2)

using this formula we have,

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=root over of (64+25)= 9.43

Ans: the distance between A and b is 9.43 units.

3 0
3 years ago
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