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bezimeni [28]
3 years ago
12

Which of the following is the algebraic expression that best describes the height y, if x is the width?

Mathematics
2 answers:
Reptile [31]3 years ago
5 0

Answer:

Option B - y=3x                    

Step-by-step explanation:

Given : It's a graph with the points  

(0.5, 1.5)

(2, 6)

(3, 9)

(5, 15)

To find : Which of the following is the algebraic expression that best describes the height y, if x is the width?

Solution :

To find the algebraic expression we substitute the points in both equations.

A) y=x+3

Put x=0.5

y=0.5+3=3.5

Not matched with first point.

So, reject A.

B) y=3x

Put x=0.5

y=3\times 0.5=1.5

Put x=2

y=3\times 2=6

Put x=3

y=3\times 3=9

Put x=5

y=3\times 5=15

All the points are satisfied by the equation y=3x.

Therefore, The best description of algebraic expression is option B - y=3x

Nookie1986 [14]3 years ago
3 0
The answer is y=3x my work is shown in the pic
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sleet_krkn [62]
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Answer:

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Step-by-step explanation:

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The piecewise function is basically the result of two different functions combined together. If x is 0 or larger, then h(x) = x+4. Otherwise, if x < 0, then h(x) = -x-4

No matter what number you pick for x, the h(x) function will be used in some way. So the domain is the set of all real numbers. To write this in interval notation, we write (-\infty, \infty) which means we start off at negative infinity and go to positive infinity. This is basically saying "the entire real number line". Since we can't actually reach either infinity, we always use parenthesis with them. <u>Never</u> use square brackets with either infinity

From the graph (see attached image below), we see that (0,-4) is the lowest point. This means y = -4 is the smallest y output possible, though we can't actually reach it because of the open circle at (0,-4). We can get any other larger y value. So the range is therefore: (-4, \infty) meaning we start at -4 and head off to positive infinity. The curve parenthesis next to -4 the reader "exclude -4 as part of the range". There is an open hole or gap here. Another way to state the range is to write y > -4

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