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2 years ago

Function or not a function?

Mathematics

1 answer:

prisoha [69]2 years ago

3 0

Answer:

That is a function

Step-by-step explanation:

Because i did that before

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The population of two different villages is modeled by the equations shown

vlada-n [284]

Answer:

Year = 1995 and population = 315

Year = 2015 and population = 715

Step-by-step explanation:

It is given that the population of two different villages is modeled by the given equations:

$y=x^2-30x+540$

$y=20x+15$

The population of both villages are same after x years after 1980 if

$x^2-30x+540=20x+15$

$x^2-30x+540-20x-15=0$

$x^2-50x+525=0$

Splitting the middle term, we get

$x^2-15x-35x+525=0$

$x(x-15)-35(x-15)=0$

$(x-15)(x-35)=0$

$x=15,35$

It means, after 15 or 35 years, the population will same.

For x=15, years is $1980+15=1995$ and population is

$y=20(15)+15=315$

For x=35, years is $1980+35=2015$ and population is

$y=20(35)+15=715$ .

Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.

7 0

3 years ago

A girl planned to swim straight across a river of width 25m. After she had swum across the river, the girl found she had been sw

s2008m [1.1K]

25^2 + 4^2 = c^2, c = 25.3 m

8 0

3 years ago

A business uses straight-line depreciation to determine the value y of an automobile over a 5-year period. Suppose the original

Elena-2011 [213]

For this problem. it is found that:

a) The automobile has depreciated 75% in 5 years.

b) The value of the automobile was reduced by $10,500 in five years.

c) The linear function is: s(t) = 14,500 - 2,100t.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = ax + b

In which:

a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the problem, we have that:

a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.

b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.

For the linear function, we have that:

The initial value is b = 14500.

The slope is of a = -10500/5 = -2100.

Hence the linear function is: s(t) = 14,500 - 2,100t.

More can be learned about linear functions at brainly.com/question/24808124

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6 0

2 years ago

11 cups is equal to how many pints

dlinn [17]

It is 5.5 us pints.........hope it helps

8 0

3 years ago

Read 2 more answers

If f(–5) = 0, what are all the factors of the function f (x ) = x cubed minus 19 x + 30? Use the Remainder Theorem.

oksian1 [2.3K]

(x + 5) (x - 2) (x - 3)

4 0

2 years ago