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3 years ago

60 is 5 times greater than k expression

1 answer:

6 0

60=5k
Is the equation because the word 'is' means equals, so we add an equal sign after the 60. "Five times greater" simply means multiply so we multiply 5 and k.
Then to solve the equation, you would need to divide both sides by 5 to isolate the variable
60/5=5k/5
12=k
I hope this helped!

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Justin launches a rocket straight up into the air. The table below gives the height(t) of the rocket (in meters) at a few times

Papessa [141]

Using it's formula, the average rates of change are given as follows:

a) 30 meters per second.

b) -10 meters per second.

<h3>What is the average rate of change of a function?</h3>

The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u> Hence, over an interval [a,b], the rate is given by the following equation:

$r = \frac{f(b) - f(a)}{b - a}$

For item a, taking the data from the table, we have that:

f(0) = 0.

f(4.6) = 138.

Hence the rate is given as follows:

r = (138 - 0)/(4.6 - 0) = 30 meters per second.

For item b, taking the data from the table, we have that:

f(9.2) = 23.

f(11.5) = 0.

Hence the rate is given as follows:

r = (0 - 23)/(11.5 - 9.2) = -10 meters per second.

More can be learned about the average rate of change of a function at brainly.com/question/11627203

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3 0

1 year ago

Which is the largest decimal? Please explain.<br> 0.267<br> 0.530000<br> 0.407<br> 0.000011

Slav-nsk [51]

The largest is 0.530000 because it is closest to 1. The 5 is the largest in the tenths place.

4 0

3 years ago

Suppose total benefits and total costs are given by b(y) = 100y − 8y2 and c(y) = 10y2. what is the maximum level of net benefits

olga nikolaevna [1]

Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).

B(y)=b-c
B(y)=100y-18y²

Now that we have a net benefits function we need find it's derivate with respect to y.

$\frac{dB(y)}{dy} =100-36y$

Now we must find at which point this function is equal to zero.

0=100-36y
36y=100
y=2.8

Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.

B(2.8)=100(2.8)-18(2.8)²=138.88≈139.

One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.

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3 years ago

andy writes an addition fact one addend is 9. the sum is 17.. what is the other addend? write the addition fact.

professor190 [17]

$x-\ other\ added\ number\\\\
x+9=17\ \ \ | subtract\ 9\\\\
x=8\\\\Searched\ number\ is\ equal\ to\ 8.$

7 0

3 years ago

Read 2 more answers

The table and graph both represent

valina [46]

I'm not sure what your table and graph look like but they might both represent the relationship between numbers, like the common difference (+5 ect) They could also both represent positive growth or negative growth depending on how the graph and table look.

Hope this helps!

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3 years ago