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3 years ago

8

A cyclist travels at a rate of 12 kilometers per hour. What is the rate in kilometers per minute? How many kilometers will the c

yclist travel in 20 minutes? Do not round your answer.

2 answers:

nalin [4]3 years ago

7 0

Answer:

0.2&4

Step-by-step explanation:

There are 60 minutes in one hour, so 12 divided by 60 is the answer.

0.2 kilometers * 20 = 4

Nostrana [21]3 years ago

7 0

The person above me is right!

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How to can i figure the answer how do i take a dollar and multiply it by a fraction

KATRIN_1 [288]

Divide the fraction then multiply it by the dollar.

Example: The given fraction is 1/2 and the given dollar is $10
The fraction is 1/2 so I divide that and it is now 0.5
Next, I multiply 0.5 by $10 and I get $5.
My final answer is $5.

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3 years ago

What is the square root of x^6 over y^4

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$\sqrt\frac{x^6}{y^4}=\frac{\sqrt{x^6}}{\sqrt{y^4}}=\frac{\sqrt{x^{3\cdot2}}}{\sqrt{y^{2\cdot2}}}=\frac{\left(\sqrt{x^2}\right)^3}{\left(\sqrt{y^2}\right)^2}=\frac{|x|^3}{|y|^2}=\frac{|x|^3}{y^2}\\\\\\\\y\neq0$

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3 years ago

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HELP! Which of the following pairs of functions are inverses of each other?

IrinaK [193]

one way is to solve for the invers of the first function

remembe, to solve, replace f(x) or g(x) with y, switch x and y, solve for y and replace it with f⁻¹(x)

A.

f(x)=x/2+8

y=x/2+8

x=y/2+8

x-8=y/2

2x-16=y

f⁻¹(x)=2x-16

nope, not A

B.

f(x)=3x³+16

y=3x³+16

x=3y³+16

x-16=3y³

(x-16)/3=y³

∛((x-16)/3)=y

f⁻¹(x)=∛((x-16)/3)

nope, not the same

not B

C.

f(x)=18/x-9

y=18/x-9

x=18/y-9

x+9=18/y

y(x+9)=18

y=18/(x+9)

f⁻¹(x)=18/(x+9)

correct, the answer is C

answer is C

8 0

3 years ago

Read 2 more answers

What are the solution points for the system graph?

JulsSmile [24]

The solution points to the system graph are (–2,–4) and (4,8). Therefore, option A is correct.

We need to find the solution to the given function.

<h3>How to find the solution to the function from the graph?</h3>

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be at the point where the two lines intersect.

From the given graph we can see that the two functions are intersecting at (–2,–4) and (4,8).

The solution points to the system graph are (–2,–4) and (4,8). Therefore, option A is correct.

To learn more about the solution points for the system graph visit:

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3 years ago

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In 1998 there were 1509 daily newspapers in the country. By 2003, there were only 1454 daily newspapers.

natta225 [31]

Answer:

<em>The number of daily newspapers in 2000 is estimated in 1487</em>

Step-by-step explanation:

<u>Modeling Functions </u>

Real-world situations are often modeled with mathematic functions. Functions allow making predictions and analysis to better understand and manage those situations

a. In our example, we know that in 1998 there were 1509 daily newspapers in the country. It gives us a starting point (0,1509), where the first coordinate is the years after 1998 and the second is the number of daily newspapers. The second point comes from the next data: by 2003 (5 years after 1998), there were 1454 daily newspapers. The new point is (5,1454).

b. Knowing the relationship between years after 1998 and the numbers of daily newspapers is linear, we can construct the function by using both points. The equation of a line, given the points (a,b) and (c,d) is

$\displaystyle y-b=\frac{d-b}{c-a}(x-a)$

Where y is the number of daily newspapers and x is the number of years after 1998. Using the given points, we have

$\displaystyle y-1509=\frac{1454-1509}{5-0}(x-0)$

$\displaystyle y-1509=-11(x-0)$

$\displaystyle y-1509=-11x$

$y=1509-11x$

c. We can use the above relationship to estimate the number of daily newspapers in 2000. For this year, x=2, thus

$y=1509-11(2)=1487$

The number of daily newspapers in 2000 is estimated in 1487

7 0

3 years ago