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KIM [24]
3 years ago
10

Determine the coordinates of the image of D(4, −3) under the following translations.

Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

gyghibibljlkbb

Step-by-step explanation:

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Based on a study of population projections for 2000 to​ 2050, the projected population of a group of people​ (in millions) can b
Olegator [25]

Answer:

(a) 0.107 million per year

(b) 0.114 million per year

Step-by-step explanation:

A(t) = 11.19(1.009)^t

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, t=0 and in 2014, t=14. Mathematically,

\text{Rate}=\dfrac{A(2014) - A(2000)}{2014-2000}=\dfrac{11.19(1.009)^14-11.19(1.009)^0} {14}

A(0)=\dfrac{12.69-11.19}{14}=\dfrac{1.5}{14}=0.107

(b) The instantaneous rate of change is determined by finding the differential derivative at that year.

The result of differentiating functions of the firm y=a^x (where a is a constant) is \dfrac{dy}{dx}=a^x\ln a. Let's use in this in finding the derivative of A(t).

A\prime(t) = \dfrac{A}{t}=11.19\cdot1.009^t\ln1.009

In the year 2014, t=14.

A\prime(14) =11.19\cdot1.009^14\ln1.009=0.114

6 0
3 years ago
Write two fractions that are equivalent to 5
Dima020 [189]

Answer:

5/1, 25/5

Step-by-step explanation:

8 0
3 years ago
43x+2 = 64 + 455 - 766
Rudik [331]

43x+2=64+455−766

Step 1: Simplify both sides of the equation.

43x+2=64+455−766

43x+2=64+455+−766

43x+2=(64+455+−766)(Combine Like Terms)

43x+2=−247

43x+2=−247

Step 2: Subtract 2 from both sides.

43x+2−2=−247−2

43x=−249

Step 3: Divide both sides by 43.

43x /43  =  −249 /43

x =  −249 /43

Answer:

x =  −249 /43

8 0
3 years ago
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Still timed. More math needing help with, i'll double points and mark brainliest! 1. (y - 6) (y + 3) 2. (4x - 5) (x - 7) 3.(3x -
wlad13 [49]

Answer:

1. y² - 3x - 18

2. 4x² - 33x + 35

3. 12x² - 11x + 2

Step-by-step explanation:

All we do with these questions are expanding the factored binomials. Use FOIL:

1. y² + 3y - 6y - 18

y² - 3y - 18

2. 4x² - 28x - 5x + 35

4x² - 33x + 35

3. 12x² - 3x - 8x + 2

12x² - 11x + 2

3 0
3 years ago
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It took 30 minutes for Melinda to run 4 miles<br> (Find the unit rate and explain what they mean)
zhannawk [14.2K]
Each mile took 7.5 minutes. So we did this by dividing 30 by 4. Hope this helped you :)
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3 years ago
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