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Julli [10]
3 years ago
12

Give the vertex of each function or inequality f(x)=|x-1|-1

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
8 0

Answer:

(1,-1)

Step-by-step explanation:

The vertex is the minimum point (in this case). That happens when x - 1 = 0. The reason for that is because the absolute value is going to added to minus 1. The absolute value is always plus.

x - 1 = 0

x - 1+1 = 0 + 1

x = 1

So the minimum point is going to be (1,-1)

Here's a graph to help you along.

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BabaBlast [244]

-8x + 4 > 5 - 3x

Adding 3x to both sides,

-5x + 4 > 5

Subtracting by -4 on both sides,

-5x > 1

Dividing both sides by -5,

x < - 1/5

7 0
4 years ago
find the side lengths of each triangle. I can't figure out the formula. awnsers with work would be most helpful. Im having most
34kurt

18. (if you needed it)

The triangle is an equilateral triangle, it has 3 congruent/equal side lengths and 3 congruent angles.

To find "z", you can set the sides equal to each other (you can just do two sides since they are all suppose to be the same lengths)

z + 5 = 4z - 4     Subtract z on both sides

5 = 3z - 4    Add 4 on both sides

9 = 3z        Divide 3 on both sides

3 = z

Plug this into one of the sides

z + 5

3 + 5 = 8       Each side is 8


[proof]

z + 5

3 + 5 = 8


4z - 4

4(3) - 4

12 - 4 = 8


3z - 1

3(3) - 1

9 - 1 = 8




19. This is an isosceles triangle, which is a triangle that has 2 congruent sides and 2 congruent angles. (The red tick marks shows that the sides are the same/equal)

Since the 2 sides are the same length, you can set them equal to each other to find "x":


2x + 6.8 = 8x + 1.4         Subtract 2x on both sides

6.8 = 6x + 1.4      Subtract 1.4 on both sides

5.4 = 6x              Divide 6 on both sides

0.9 = x


Now that you know x, you can find the sides:

2x + 6.8

2(0.9) + 6.8

1.8 + 6.8 = 8.6


8x + 1.4

8(0.9) + 1.4

7.2 + 1.4 = 8.6


The two side lengths are 8.6


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Answer:

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Step-by-step explanation:

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