What could be a word problem that could be modeled by the equation 12x+9=45?

Mathematics

1 answer:

Lelu [443]4 years ago

6 0

Answer:

x = 3

Step-by-step explanation:12x+9=45

Subtract 9 from both sides

12x=36

Divide both sides by 12

x=3

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Write an equation for the

Travka [436]

Answer:

See below

Step-by-step explanation:

For the model function $f(x)=a|x-h|+k$ , $(h,k)$ is the vertex, and $a$ is the horizontal growth or shrink factor.

We know that our vertex is $(-1.5,0)$ from our graph, so we'll need to determine the value of $a$ by using one of the points on the graph:

$f(x)=a|x-h|+k\\\\f(x)=a|x-(-1.5)|+0\\\\f(x)=a|x+1.5|\\\\f(0)=a|0+1.5|\\\\3=a|1.5|\\\\3=1.5a\\\\2=a$

Thus, our equation for the given graph is $f(x)=2|x+1.5|$ .

The domain of a function is the set of all existing real x-values, thus, our domain for the given function is $(-\infty,\infty)$ , or all real x-values.

The range of a function is the set of all existing real y-values, thus, our range for the given function is $[-1,\infty)$ , or all real y-values starting with y=-1 which is included.