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3 years ago

25a^2-30a+9 factor ?

Mathematics

1 answer:

CaHeK987 [17]3 years ago

4 0

Factor 25a2−30a+9

25a2−30a+9

=(5a−3)(5a−3)

Answer:

(5a−3)(5a−3)

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Five years ago, the population of a city was 49,000. each year the zoning commission permits an increase of 580 in the populatio

Paladinen [302]

The maximum population be 5 year from now will be 54,800 given that five years ago, the population of a city was 49,000 and each year the zoning commission permits an increase of 580 in the population. This can be obtained using the formula of arithmetic progression.

<h3>What will the maximum population be 5 year from now?</h3>

Formula of arithmetic progression is given by,

⇒ aₙ = a + (n - 1)d

where aₙ = nth term, a = first term, d = common difference

Here in the question it is given that,

Five years ago, the population of a city was 49,000

Each year the zoning commission permits an increase of 580 in the population

We have to find out the maximum population in 5 year from now.

By using the formula of arithmetic progression we get,

aₙ = a + (n - 1)d,

here in the question,

a = 49,000,

n = five years ago + current year + five years from now ⇒ n = 5 + 1 + 5 ⇒ n = 11g

d = 580

Now we get,

⇒ aₙ = a + (n - 1)d

⇒ aₙ = 49000 + (11 - 1)580

⇒ aₙ = 49000 + (10)580

⇒ aₙ = 49000 + 5800

⇒ aₙ = 54,800

Hence the maximum population be 5 year from now will be 54,800 given that five years ago, the population of a city was 49,000 and each year the zoning commission permits an increase of 580 in the population.

Learn more about arithmetic progression here:

brainly.com/question/16954227

#SPJ4

8 0

1 year ago

What are the coordinates of the hole in the graph of the function f(x) ?

Vinvika [58]

ANSWER

$(3, \infty )$

EXPLANATION

The given function is

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$

When we plug in x=3 into this function, we obtain,

$f(3) = \frac{0}{0}$

This means that the function is discontinuous at x=3.

We need to simplify the function to obtain,

$f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}$

This implies that,

$f(x) = x + 3$

The graph this function is a straight line that is continuous everywhere.

To graph

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$
we draw the graph of

$f(x) = x + 3$
and leave a hole at x=3.

See diagram in attachment.

Hence the coordinates of hole is

$(3, \infty )$

6 0

3 years ago

Michael bought three baseballs from a sports store. Each baseball cost the same amount. The total cost was $8.37. If c represent

ANEK [815]

Answer:

The Value of c can be found using the formula 3c = 8.37. Each Baseball costs $2.79

Step-by-step explanation:

3c=8.37 divide 3c and 8.37 by 3 and it will tell you that c = 2.79.

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3 years ago

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What is property of equality

Sauron [17]

Answer:

Two equations that have the same solution are called equivalent equations e.g. 5 +3 = 2 + 6. And this as we learned in a previous section is shown by the equality sign =. An inverse operation are two operations that undo each other e.g. addition and subtraction or multiplication and division.

Step-by-step explanation:

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3 years ago

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What are the correct steps for solving the following equation: 5x - = 21

ololo11 [35]

Answer:

x = -21/5 = -4.200

Step-by-step explanation:

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2 years ago

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