We need to figure out how much string would be left, after taking away the first two pieces.
We know that the first piece is 20 inches long, so we can say that there is 52-20 inches left, or 32 inches.

The second piece is between 12 and 18 inches, meaning that there would be between 32-12 and 32-18 inches left for the third piece, or 20 and 14 inches. This means that the third piece would be at least 14 inches long, but no more than 20, since we don’t have more string than that (20+12+20=52, and 20+14+18=52)

So we can say that x is greater or equal to 14, but less than or equal to 20, or:

14<=x<=20 (“<=“ is written like a normal “<“ sign with a line _ right under it)

4 0

3 years ago

Find absolute max and min on a given interval calculator

olga nikolaevna [1]

Min {sin(x) | 0 is les than or equal to x less than or greater than or equal to 2 pie = -1 at x = 3 pie over 2

7 0

3 years ago

The graph shows f(x)and its transformation(x).

andre [41]

Using translation concepts, the equation for function g(x) given in the graph is:

$g(x) = 2^{x + 2}$

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent function for this problem is given as follows:

$f(x) = 2^x$

From the graph, function g(x) was shifted 2 units left, hence x -> x + 2 and the definition is:

$g(x) = 2^{x + 2}$

More can be learned about translation concepts at brainly.com/question/28098112

#SPJ1

8 0

2 years ago

Express y=3x+2 in general form

katrin [286]

General form of a linear equation is ax+by+c=0 where a,b, and c are three real numbers.

So, we can shift all the terms in one side of the equation. Hence, first step is to remove y from the left side. So, subtract y from each sides.

y-y=3x+2-y

0= 3x - y +2 (By simplifying)

So, the general form of the given equation is 3x-y+2=0.

4 0

3 years ago