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Anna11 [10]
3 years ago
10

What is the range of the function f(x) = |x − 1| − 2?

Mathematics
1 answer:
amid [387]3 years ago
8 0
You obtain the graph of function f(x)=|x-1|-2 translating the graph of function g(x)=|x| 1 unit left and 2 units down.

The range of the graph g(x)=|x| is [0,\infty]. When you make the needed translations you can see that the range of the function f(x) is [-2,\infty].

Answer: [-2,\infty].
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How do I find the sides of a right triangle using sine, cos, or tan, with only the three angles and the hypotenuse
Yuki888 [10]

In this right triangle, you are given the measurements for the hypotenuse, c, and one leg, b. The hypotenuse is always opposite the right angle and it is always the longest side of the triangle. To find the length of leg a, substitute the known values into the Pythagorean Theorem. Solve for a2.

Hope this helps!

Please give brainliest!

4 0
3 years ago
Graph the equation (x - 3)^2 + (y - 2)^2 = 25 and y = 6.
Dmitriy789 [7]

Answer:

x=6, x=0

Step-by-step explanation:

(x - 3) ^{2}+ (y - 2) ^{2}= 25

(x - 3) ^{2}+ (6 - 2) ^{2}= 25

x=6, x=0

3 0
3 years ago
A map has a scale of 1 cm to 14 km.
Alenkinab [10]

Answer:

Real distance between Manchester and London = 263.2 km

Step-by-step explanation:

Given that:

A map has a scale of 1 cm = 14 km

Ratio = 1 : 14

Distance from Manchester to London = 18.8 cm

Let,

x be the real distance between Manchester and London.

Ratio = 18.8 : x

As the relationship is proportional,

1 : 14 :: 18.8 : x

Product of mean = Product of extreme

14*18.8 = x

x = 263.2 kilometers

Hence,

Real distance between Manchester and London = 263.2 km

6 0
3 years ago
The area if a rectangular frame is 32 square inches. The perimeter of the frame is 24 inches. Which shows the correct dimensions
Zarrin [17]

Answer:

8 x 4

Step-by-step explanation:

Lets say the length is x and the width is y.

xy = 32

2x + 2y = 24

Rearranging the second equation, we get:

2x = 24 - 2y

/2         /2

x = 12 - y

substitute into the first equation

y(12 - y) = 32

12y - y^2 = 32

-32             -32

-y^2 +12y - 32 = 0

x -1                      x -1

y^2 - 12y + 32 = 0

(y - 8)(y - 4) = 0

y = 8 or 4

substitute into x = 12 - y.

x = 12 - 8 = 4

x = 12 -4 = 8

so the correct dimensions are 4 x 8, as either x = 4 and y =8, or x = 8 and y = 4.

Hope I helped!

8 0
3 years ago
The table shows the amount andre as a waiter. The money in dollars is the total amount be earned
Mariana [72]

Answer:

I do not think that is a question

6 0
3 years ago
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