Timothy has a fenced-in garden in the shape of a

Help please!!!! 10 points

Artemon [7]

Step-by-step explanation:

This is the answer.... Working shown

3 0

3 years ago

The width of a rectangle is 18 meters less than twice the length, x. The width of the rectangle is 68 meters. Which equation can

Morgarella [4.7K]

Answer:

None of the options are correct, as the answer is 2x - 18 = 68.

Step-by-step explanation:

The 2x represents the length (x) being half of the width (68)

The -18 represents the width (68) being 18 less than twice the length (2x)

8 0

3 years ago

An election is over and a new city council member has been elected. The new councilman received 3 votes for every vote received

damaskus [11]

Answer:

921

Step-by-step explanation:

If he recives 3x amount than his oppenent

than we would divided by 3 from his score to find oppponets score

so....

2763 divided by 3=921

4 0

2 years ago

Confused on how to do these Piecewise-Defined evaluations..

Gekata [30.6K]

See the attached image for the graph. The piecewise function is simply a collection of functions glued together to form a sort of "frankenstein function" of sorts. Here's how it works. If x is between 0 and 1 (including 0 but excluding 1), then f(x) = -2 for all x values mentioned. This is exactly what the first row of the piecewise function says. Then the second line says "if x is between 1 and 2, including both endpoints, then f(x) = 3-x". Finally the last line says f(x) = 1 as long as x is larger than 1 but smaller than 4. The value x = 4 is allowed for this piece but x = 1 is not allowed.

--------------------------------------------------

Now onto function evaluation. We want to evaluate f(1) so we need to find f(x) when x = 1. If x = 1, then we'll use the second piece because the first piece excludes x = 1. So

f(x) = 3-x

f(1) = 3-1

f(1) = 2

is the first answer for the function evaluation section.

The value of f(3) is equal to 1 since we resort to using the third piece of the piecewise function (x = 3 is in the range from x = 2 to x = 4)

The value of f(-5) is undefined simply because we're out of the range defined by the piecewise function. The smallest x can get is x = 0.

Finally, f(2) is equal to 1 since...

f(x) = 3-x

f(2) = 3-2

f(2) = 1

again we use the second piece of the piecewise function because x = 2 is in the range 1 <= x <= 2

--------------------------------------------------

In summary:

f(1) = 2

f(3) = 1

f(-5) = undefined

f(2) = 1

Once again have a look at the graph to see how the points match up. I've color-coded the graph so that each piece is a different color. The first piece is in red, the second in blue, the third in green. Note the open hole at point B to indicate "don't include this point as part of the graph".