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3 years ago

Find the rate of change of the function f(x)=-4/5x+8

1 answer:

8 0

The rate of change is the slope. Because this is written in slope intercept form (y=mx+b with m being the slope), we can find the slope by simply looking at the b value.
Final answer:-4/5

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Simplify the imaginary number sqr -75

m_a_m_a [10]

Answer:

5i $\sqrt{3}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

and $\sqrt{-1}$ = i

Given

$\sqrt{-75}$

= $\sqrt{25(3)(-1)}$

= $\sqrt{25}$ × $\sqrt{3}$ × $\sqrt{-1}$

= 5 × $\sqrt{3}$ × i

= 5i $\sqrt{3}$

3 0

3 years ago

Suppose that during the 1990s, the population of a certain country was increasing by 1.7% each year. If the population at the en

dem82 [27]

The answer would be 5.491 million, but can be rounded to 5.5 million.

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3 years ago

Mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Dafna11 [192]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the value of 12c5? A. 95,040 B.792 C.120 D.60

nydimaria [60]

12x5 is 60 is it suppose to be 12 times 5

6 0

3 years ago

Read 2 more answers

Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 meters ×80 meters

hjlf

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight, we have to find the sum of length of both edges

Let $R_E$ be the distance of route around edges

$R_E = 80+60 = 140\ meters$

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

$H^2 = P^2 + B^2$

In the given scenario

P = 60

B = 80

Now

$H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters$

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

$= 140-100 = 40\ meters$

Hence,

The route across the park is 40 meter shorter than the route around its edges.

7 0

3 years ago