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3 years ago

Write the equation of the line that passes through the points (3, 4) and (5, 8)

Mathematics

1 answer:

shusha [124]3 years ago

7 0

Answer:

y=2x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-4)/(5-3)

m=4/2

m=2

y-y1=m(x-x1)

y-4=2(x-3)

y=2x-6+4

y=2x-2

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The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect

Liula [17]

Answer:

After 25 years the population will be:

Australia: 22271200
China: 1580220878
Mexico: 157380127
Zaire: 112794819

Step-by-step explanation:

Growth rate problem that has a growth rate proportional to the population size can be solved using the equation:

P(t) = P₀eʳᵗ

t is your unit of time. It could be days, or hours, or minutes. It changes depending on each problem. In this problem, t is measured in years because you're jumping from 2000 to 2025. Years just makes the most sense to measure that leap in time.

P(t) is the population at time t. An example in this problem could be P(20) would be the population 20 years after the initial count. or maybe P(12) would be the population 12 years after the initial count. or P(0) would be the initial count of the population.

P₀ is the initial population at P(0)
r is the growth rate. Don't forget to convert the percentage to its decimal form

Now that everything is set out, lets use the equation to solve for our answer.

P(t) = P₀eʳᵗ

Australia:

$P(t)=(19169000)e^{(0.006)t}$

after 25 years

$P(25)=(19169000)e^{(0.006)(25)}=22271200.6$

China:

$P(t) = (1261832000)e^{(.009)t}$

after 25 years:

$P(25)=(1261832000)e^{(.009)(25)}=1580220878$

Mexico:

$P(t) = (100350000)e^{(0.018)t}$

after 25 years:

$P(25)=(100350000)e^{(0.018)(25)}=157380127.8$

Zaire:

$P(t) = (51965000)e^{(0.031)t}$

after 25 years:

$P(25)=(51965000)e^{(0.031)(25)}=112794819.9$

6 0

4 years ago

What can you say about the y-values of the two functions f(x)=3^(x)-3 g(x)=7x^2-3

Mice21 [21]

Answer: g(x) has the smallest possible y-value of -3

Step-by-step explanation:

f(x) = 3ˣ - 3 This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.

Range: y > 3 (-3, ∞)

g(x) = 7x² - 3

⇒ g(x) = 7(x - 0)² - 3 This is a parabola with vertex at (0, -3)

Range: y ≥ 3 [-3, ∞)

5 0

3 years ago

Read 2 more answers

The linear equation y=-2x+3 has a positive slope of 2, true or false ?

Anna007 [38]

Answer:

False

Step-by-step explanation:

the slope is -2/1 AKA -2 so it is negative

7 0

3 years ago

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If (20, 14) is an ordered pair of the inverse of F(x), which of the following is an

Law Incorporation [45]

Answer:

A. (14,20)

Step-by-step explanation:

The inverse relation is found by swapping x and y in the ordered pair.

When ...

14 = f^-1(20)

then ...

20 = f(14)

The corresponding ordered pair is (14, 20).

3 0

3 years ago

Write 49,000 in scientific notation?

prisoha [69]

Answer:

4.9x10^4

Step-by-step explanation:

4.9*10000=49,000

8 0

3 years ago

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