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3 years ago

Write a linear function f with the given values. f(0) = 2. f(2) = 4

Mathematics

1 answer:

Ganezh [65]3 years ago

6 0

Answer:

I Think this will be the answer, We need to write the equation of a line with the given values of $f(0)=2$ and $f(2)=4$. To write the equation of the line, we can use the slope-intercept ...

Step-by-step explanation:

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A certain forest covers an area of 2100 km^2. Suppose that each year this area decreases by 5.25%. What will the area be after 6

Neko [114]

Answer:

The area after 6 years is $1519.49km^2$

Step-by-step explanation:

Given

$a = 2100$ --- Initial Value

$r = 5.25\%$ --- Rate

Required

Determine the area after 6 years

Because the area reduces,, the following formula will be used to solve the question.

$y = a*(1 - r)^t$

Here

$t = 6$

So, we have:

$y = 2100*(1 - 5.25\%)^6$

Convert percentage to decimal

$y = 2100*(1 - 0.0525)^6$

$y = 2100*(0.9475)^6$

$y = 1519.47866516$

$y = 1519.49$ -- approximated

The area after 6 years is $1519.49km^2$

4 0

2 years ago

write the slope intercept equation. the graph of f passes through (-6,4) and is perpendicular to the line that has an x-intercep

Nimfa-mama [501]

Answer:

y = $-\frac{1}{3} x$ + 2

Step-by-step explanation:

The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:

Slope(s) = Change in y ÷ change in x

s = $\frac{0 - -6}{2 - 0}$ = 3

The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 = $-\frac{1}{3}$

Reason: The product of slopes of lines perpendicular to each other have to be -1

So the slope of the perpendicular line that passes through (-6,4) is $-\frac{1}{3}$

As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x

Taking another point (x,y) on the line,

$-\frac{1}{3}$ = $\frac{y - 4}{x - -6}$

$-\frac{1}{3}$ = $\frac{y - 4}{x + 6}$

y - 4 = $-\frac{1}{3}$ x - 2

y = $-\frac{1}{3}$ x + 2

5 0

2 years ago

HELP!!! if a hospital patient is given 50 milligrams of medicine, which leaves the bloodstream at 10% per hour, how many milligr

kipiarov [429]

Answer:

I also got 27.44 mg.

Step-by-step explanation:

Use the function given to you:

A(t)=le^rt

l: Initial Amount (50)

r: Rate (-.1) (Negative because the medicine is exiting the bloodstream at 10% per hour

t: 6 (the specific time value you are evaluating the function at.

A(6)=50e^-.1(6)=27.44

8 0

3 years ago

How can solve this ???

poizon [28]

Answer: $11,808

Step-by-step explanation:

2011 - 1995 = 16

418t + 5120

= 418(16) + 5120

= 6688 + 5120

= 11,808

5 0

3 years ago

Ship A receives a distress signal from the southwest, and ship B receives a distress signal from the same vessel from the north.

mylen [45]

G=t negative 320+f5 t=b

6 0

3 years ago