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Julli [10]
3 years ago
5

using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equ

ation 10.0y-4.55x=581. where x is the number of years after 2000 what is projected population in 2026?
Mathematics
1 answer:
natita [175]3 years ago
5 0

Answer:

The projected population in 2026 is of 699.3 million.

Step-by-step explanation:

Population:

The population, in x years after 2000, is given by the follwing equation:

y - 4.55x = 581

That is:

y(x) = 4.55x + 581

What is projected population in 2026?

2026 - 2000 = 26, so this is y(26).

y(26) = 4.55(26) + 581 = 699.3

The projected population in 2026 is of 699.3 million.

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3 0
3 years ago
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What is the value of y in the equation 3 (3y - 9) = 0
iren [92.7K]

Answer:

y=3

Step-by-step explanation:

3 (3y - 9) = 0

Divide each side by 3

3/3 (3y - 9) = 0/3

3y -9 = 0

Add 9 to each side

3y -9+9 = 0+9

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Divide by 3

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4 0
3 years ago
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The equations 8x +4y = 32 and 16x +12y = 72 represent the cost for lunch and dinner for a family eating out on vacation. If x is
Nookie1986 [14]

Answer:

There are 3 adults in the family.

Step-by-step explanation:

The equations 8x + 4y = 32 and 16x + 12y = 72 represent the cost of lunch and dinner for a family in which x is the number of adults and y is the number of children.

We have to find the number of adults or the value of x by solving these equations.

equations are 8x + 4y = 32 -------(1)

16x + 12y = 72 --------(2)

Now we will multiply equation 1 by 3 and subtract it by equation 2.

(16x + 12y) -3(8x + 4y) = 72 - 96

16x + 12y - 24x - 12y = -24

(16x - 24x) + (12y - 12y) = -24

-8x = - 24

8x = 24

x = 3

Therefore, there are 3 adults in the family.

8 0
3 years ago
How to add and subtract rational numbers in fraction form?
Daniel [21]
First you have to convert  the denominators to the Lowest Common Multiple (unless the denominators are equal, of course).

Example   1/4 + 1/2

The LCM of 2 and 4 = 4   so we can write 1/2  as 1*2/2*2 = 2/4. 
Now we can add:-
1/4 + 2/4 = 3/4.

Same thing goes for subtraction.

Example 2:-

5/6 - 1/7  :- 
LCM of 6 and 7  = 6*7 = 42  so we have:-
5*7 / 6*7   - 1*6 / 7*6  
= 35/42 - 6/42  =  29/42
5 0
4 years ago
Choose the correct conic section to match the equation. 16x 2 - y 2 = 16 parabola hyperbola ellipse circle
Nastasia [14]

The equation 16x² - y² = 16 represents a hyperbola ⇒ 2nd answer

Step-by-step explanation:

The general form of the equation of a conic is

Ax² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, C, D, E, and F

are constants

To find the type of conic that the equation represent find B² - 4AC

1. B² - 4AC < 0 and the conic is exist, then it's ellipse or circle,

   if A = C, (non-zero) then it is a circle, if A ≠ C, then it is an ellipse

2. B² - 4AC = 0 and the conic is exist, then it's a parabola

3. B² - 4AC > 0 and the conic is exist, then it's a hyperbola

∵ The equation is 16x² - y² = 16

- Subtract 16 from both sides

∴ 16x² - y² - 16 = 0

∵ Ax² + Bxy + Cy² + Dx + Ey + F = 0

∴ A = 16 , B = 0 , C = -1 , D = 0 , E = 0 , F = -16

∵ B² - 4AC = (0)² - 4(16)(-1)

∴ B² - 4AC = 64

∵ 64 > 0

∵ B² - 4AC > 0

∴ The conic is hyperbola

The equation 16x² - y² = 16 represents a hyperbola

Learn more:

You can learn more about hyperbola in brainly.com/question/4054269

#LearnwithBrainly

7 0
3 years ago
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