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natima [27]
2 years ago
7

Describe the translation from f ( x ) = I x I... to f ( x ) = I x - 1 I + 11.

Mathematics
1 answer:
noname [10]2 years ago
6 0
Horizontal shift 1 unit left and vertical shift 11 units up
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A country's population in 1994 was 140 million. In 1998 it was 146 million. Estimate the population in 2011 using the exponentia
serious [3.7K]

Answer:

Estimated To Be 167 Million

Step-by-step explanation:

The exponential growth formula is given by

where: P is the population of the country, t years after the initial year (i.e. in this case, 1994).  is the initial population of the country (i.e. the population of the country in 1994).

r is the growth rate of the population and

t s the number of years after the initial year.

We obtain the value of r by comparing the growth between 1994 and 1998.

Here: P = 146, , and t = 4 years

Thus To estimate the population of the country in 2011, we note that 2011 is 17 years after 1994.

Thus, the population of the country in 2011 can be estimated to be

million

Therefore, the population of the country in 2011 can be estimated to be 167 million to the nearest million

7 0
3 years ago
(−7.9 + (−3.4)) + (8.2 + 2.1)
Natasha_Volkova [10]
The answer is -1, when adding both sides.
8 0
3 years ago
22. If 1 m,m/19 - 118°, and m/16 - 48°, calculate m/12.
Ulleksa [173]

Answer: Option 4

Step-by-step explanation:

m\angle 20=62^{\circ} (linear pair)

m\angle 11=70^{\circ} (angle sum in a triangle)

m\angle 12=110^{\circ} (linear pair)

4 0
2 years ago
The length of a rectangular garden ABCD is 9 feet more than its width. It is surrounded by a brick walkway 4 feet wide as shown
Anna71 [15]

Answer:

  16.5 ft by 25.5 ft

Step-by-step explanation:

Let w represent the width of the garden in feet. Then w+9 is the garden's length, and w(w+9) represents its area.

The surrounding walkway adds 8 feet to each dimension, so the total area of the garden with the walkway is ...

  (w+8)(w+9+8) = w^2 +25w +136

If we subtract the area of the garden itself, then the remaining area is that of the walkway:

  (w^2 +25w +136) - (w(w+9)) = 400

  16w + 136 = 400 . . .simplify

  16w = 264 . . . . . . . . subtract 136

  264/16 = w = 16.5 . . . . . width of the garden in feet

  w+9 = 25.5 . . . . . . . . . . .length of the garden in feet

5 0
3 years ago
Sketch the line passing through the pair of points and identify the line as having a positive slope, a negative slope, a zero sl
scoundrel [369]

Answer:

line will be horizontal running through (0,2)

Step-by-step explanation:

6,2
1,2
2-2/1-6 = 0/-5 = 0 slope. 2 = 0x6+b, 2=b. line will be y=b , y=2.

5 0
2 years ago
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