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3 years ago

The population of Rock Springs is growing at a constant rate. The expression represents the increase in population in x years.

Mathematics

2 answers:

irakobra [83]3 years ago

3 0

The function is given by

y=45,200 + 1,900x

and is of the form y = mx+b , where m is the rate of change and b is the fixed value ( or we can say initial value)

Now when we compare we get m = 1,900 for our problem .

So the population increases every year by 1,900.

Olin [163]3 years ago

3 0

Answer:

1,900

Step-by-step explanation:

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Jobisdone [24]

G(x) = f(x) +5
= 4^x -6 +5
= 4^x -1

The 3rd selection is appropriate.

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3 years ago

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Find the coordinates of point X that lies along the directed line segment from Y(-8, 8) to T(-15, -13) and partitions the segmen

Nataly_w [17]

Answer:

C. (-13, -7)

Step-by-step explanation:

The location of a point O(x, y) that divides a line AB with location A $(x_1,y_1)$ and B $(x_2,y_2)$ in the ratio m:n is given by:

$x=\frac{m}{m+n} (x_2-x_1)+x_1\\\\y=\frac{m}{m+n} (y_2-y_1)+y_1$

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

$x=\frac{5}{5+2} (-15-(-8))+(-8)\\\\x=\frac{5}{7} (-15+8)-8=\frac{5}{7}(-7)-8=-5-8=-13 \\\\\\y=\frac{5}{5+2} (-13-8)+8\\\\y=\frac{5}{7} (-21)+8=5(-3)+8=-15+8=-7$

Therefore the coordinates of point X is at (-13, -7)

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3 years ago

Find the equation of the line.

Katen [24]

Answer:

y = -3/2x + 3

Step-by-step explanation:

y = -3/2x + 3

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2 years ago

3/28 of the animals are birds. 4/15 are birds of prey. What fraction of the animals are birds of prey.

vova2212 [387]

Let's call animals "a", and birds "b", birds of prey, "p"

so, b= $\frac{3}{28} a$

and p= $\frac{4}{15} b$
what;s the relation of p to a?

we substitude b into the last one:

and p= $\frac{4}{15}* \frac{3}{28} a$
so:
p= $\frac{4*3}{15*28} a$

p= $\frac{4*1}{5*28} a$

p= $\frac{1*1}{5*7} a$

p= $\frac{1*1}{35} a$

which is the answer!

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3 years ago

Byron can fill a drying rack with dishes in 15 minutes. While Byron fills the drying rack, Emmitt takes dishes out of the drying

Olegator [25]

Answer:

Hi!

The correct answer is d) 1 over 15 minus 1 over x equals x over 35.

Step-by-step explanation:

We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.

We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.

We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.

So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.