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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].
You might be interested in
the distant between two towns is kilometers there are approximately 8 kilometers in 5 miles which measurement is closest to the
RUDIKE [14]

both towns are the same length because they are the same distance away from each other.

4 0
3 years ago
Multiply then simplify radicals<br> 3^√9 × 3^√-24 &lt;-- are both cube root<br> √8y^5 × √40y^2
Gemiola [76]

Step-by-step explanation:

∛9 × ∛-24

∛-216

∛(-6)³

-6

√(8y⁵) √(40y²)

√(320y⁷)

√(64y⁶ × 5y)

8y³√(5y)

5 0
3 years ago
The temperature started at 82° and continued to rise at a rate of 0.6° each hour the temperature is now 85° determine the number
Gnesinka [82]

Answer:

5 hours

Step-by-step explanation:

Our goal here is 3 F because 82+3=85

Ok so you start at 82. For example, you can do 0.6×1=0.6 (no)

0.6×2=1.2 (no)

0.6×3=1.8 (no)

0.6×4=2.4 (no)

0.6×5=3 (yes)

82°+3°=85°

8 0
3 years ago
If a circle has a circumference of 38cm what is it’s radius to 0.1cm?
ira [324]

Answer:6.05cm

Step-by-step explanation:

Circumference=2×π×r

38=2×22/7×r

38×7=2×22×r

266=44r

r=266/44

r=6.05cm

8 0
3 years ago
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
almond37 [142]

Answer:

First angle = 30°

Second angle = 60°

Third angle = 90°

Step-by-step explanation:

x + y + z = 180

y + z = 5x

z = y + 30

then:

y + (y+30) = 5x

2y + 30 = 5x

x = (2y+30)/5

then:

x + y + z = 180

{(2y+30)/5} + y + y+30 = 180

{(2y+30)/5} + 2y + 30 = 180

{(2y+30)/5} = 180 - 30 - 2y

{(2y+30)/5} = 150 - 2y

2y+30 = 5(150-2y)

2y+30 = 5*150 + 5*-2y

2y+30 = 750 - 10y

2y + 10y = 750 - 30

12y = 720

y = 720/12

y = 60°

x = (2y+30)/5

x = (2*60 + 30)/5

x = (120+30)/5

x = 150/5

x = 30°

z = y + 30

z = 60 + 30

z = 90°

Check:

x + y + z = 180°

30° + 60° + 90° = 180°

7 0
3 years ago
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