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Aliun [14]
2 years ago
12

Hi! This is piecewise equations! Please help if you can :)

Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
4 0

Notice that <em>f(x)</em> is only defined over the intervals 0 ≤ <em>x</em> < 3 and 3 < <em>x</em> ≤ 6; that is, all real numbers <em>x</em> between 0 and 3, and between 3 and 6, but <u>not including 3</u>. Since there is no definition for <em>f(x)</em> at <em>x</em> = 3, the value of <em>f</em> (3) is undefined.

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The length of a rectangle is 8 feet more than it’s worth. The area of the rectangle is 84 ft.². Find its Length and width.
Furkat [3]

Answer: 100 i think, but am not sure.

Step-by-step explanation:

The formula for area of a rectangle is A=l*w.  Since the area is 84, then you can use the A=l*w formula.  84 = x(x+8) would be the equation to solve for x.

Now, you need to put the equation in standard form.  So, x2 + 8x - 84 = 0.

Since you can't solve this quadratic using factoring, you need to complete the square.

To complete the square you need to add 84 to both sides.  Now you have x2 + 8x = 84.  Take the coefficient for the x term (8) and divide by 2.  Now square it.  That would be 42, so 16.  Now you have x2 +8x +16 = 100.

Factor x2 +8x +16, so (x+4)2 = 100

If you use the square root property, you have x+4 = 10.  Therefore, x = 6 (the short side) and 14 is the long side.

5 0
3 years ago
Through: (1,-1), Parallel to y = 1/4× - 4​
Liono4ka [1.6K]

Answer:

I believe it is y=1/4x.

8 0
2 years ago
Solve for x.<br><br> 0.5x+78.2=287
Alona [7]

Answer:

x =417.6

Step-by-step explanation:

0.5x+78.2=287

Subtract 78.2 from each side

0.5x+78.2-78.2=287-78.2

.5x =208.8

Divide each side by .5

.5x/.5 = 280.8/.5

x =417.6

8 0
2 years ago
Patrick is replacing a door in his house. It has a height of 80 inches and its diagonal is 89 inches. What is the width of the d
Sedbober [7]
72 I think I hope its right I had to write all over my paper lol
6 0
3 years ago
Which of the following relations are not functions? Select all that apply.  {(1, 3), (3, 7), (5, 11), (7, 15), (9, 19)}  {(1,
zavuch27 [327]

Given:

7 relations are given.

To find:

The relation which is not a function.

Step-by-step explanation:

A relation is called function if there exist unique output for each input.

It means, each x-value has only one y-value.

{(1, 3), (3, 7), (5, 11), (7, 15), (9, 19)}, it is a function.

{(1, 3), (1, 7), (5, 11), (5, 15), (9, 19)}, it is not a function because there exist two y-values y=3 and y=7 at x=1.

{(−2, 4), (−1, 1), (0, 0), (1, 1), (2, 4)}, it is a function.

{(2, 4), (1, 1), (0, 0), (1,−1), (2, −4)},it is not a function because there exist two y-values y=4 and y=-4 at x=2.

{(6, 3), (4, 1), (2, 1), (0,−1), (−2,−3)}, it is a function.

{(1, 3), (3, 7), (3, 11), (7, 15), (9, 19)}, it is not a function because there exist two y-values y=7 and y=11 at x=3.

{(1, 3), (3, 7), (5, 11), (9, 15), (9, 19)}, it is not a function because there exist two y-values y=15 and y=19 at x=9.

Therefore, the correct options are 2, 4, 6 and 7.

8 0
3 years ago
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