What is the slope of 2x-3

What is the volume of this rectangular prism 5/2 cm 4 cm 1/2

Naily [24]

Answer:

$5cm ^{3}$

Step-by-step explanation:

$v = whl \\ = \frac{5}{2} \times \frac{4}{1} \times \frac{1}{2} \\ = \frac{20}{4} \\ = 5 {cm}^{3}$

7 0

3 years ago

Which of the following is the square root of 17 to the nearest tenth? A) 2.9 O B) 2 O C) 4.1 OD) 6.9

katrin2010 [14]

Answer: 4.1

Step-by-step explanation:

8 0

3 years ago

Step by step help for 17.5x2.48

kherson [118]

Start by writing it out like this:
17.50
<u>* 2.48 </u>
Make sure that all the places are in correct order. Notice that I added a ZERO in the place that had nothing there.
Move the decimal point so everything is a whole number. You have moved it 4 times.
Now, starting from 8, multiply it by 0, then 5, then 7, and lastly, 1. Now go to the next number (4) and do the same, this time though, put a zero in the first spot. Every new number, add another zero.
After you are done, add them up. Now move the decimal point starting from the right and into the number 4 times. Take out the zeros.
Your answer should be: 43.4

8 0

3 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.

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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

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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".