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3 years ago

What is the constant of this proportionality for 1 4, 2 8, 3 12, 4,16

Mathematics

1 answer:

laiz [17]3 years ago

5 0

Answer:

k = 4

Step-by-step explanation:

The constant of proportionality is found by starting with y = kx, then finding k.

We can just use one point (such as the first one, (1,4) ) and substitute these values of x and y into the equation y = kx, to get:

4 = k x1

k = 4.

So y = 4x

(we can also check that all the other points also satisfy this equation - which they do, as each y value is 4 times the corresponding x value)

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In the figure, identify the types of angles in the table below .

Anna007 [38]

Answer:

∠1 and∠3 = Supplementary Angles

∠4and∠5 = Complementary Angles

∠5and∠1 = Adjacent Angles

∠2and∠3 = Supplementary Angles

4 0

3 years ago

On a busy saturday a movie theater sells 700 children tickets and 300 adults tickets. They made $7200 in total. If each adult ti

natka813 [3]

Answer:

6 dollars per children ticket.

Step-by-step explanation:

Sorry if my explanation doesn't make much sense or you don't understand it.

700x + 300y = 7200

if, y = 10

700x + 300(10) = 7200

700x + 3000 = 7200

- 3000 = -3000

700x = 4200

700x/700 = 4200/700

x = 6

5 0

2 years ago

Read 2 more answers

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Klio2033 [76]

I think it’s the last one sorry if I’m wrong

3 0

3 years ago

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What is the total number of relative maximum and minimum points of the function whose derivative for all x is given by f ‘ (x) =

Alexeev081 [22]

Answer:

There are in total 3 maximum and minimum points of f(x)

Step-by-step explanation:

To find the number of stationary points (maximum and minimum points) in any function (f(x)), we need to find for what values of x does the derivative of f(x) equal to 0.

mathematically, for how many values of x does f'(x) = 0

$f'(x) = x(x-3)^2(x+1)^4$

$0 = x(x-3)^2(x+1)^4$

since the factors can be separately solved we can write

$0 = x, 0 = (x-3)^2, 0 = (x+1)^4$

$x= 0, \sqrt{(x-3)^2} = \sqrt{0}, \sqrt{(x+1)^4}=\sqrt{0}$

$x=0, (x-3)=0, (x+1)=0$

$x = 0, x = 3, x = -1$

Since there are 3 answers of x for which f'(x) = 0, we can say that the there are a total of 3 stationary (maximum or minimum) points in f(x).

8 0

3 years ago

It takes Megan 36 minutes to drive to the grocery store after work, which is 4/7 of the time it takes her to go directly home af

finlep [7]

Answer: 63 mins

Step-by-step explanation:

First you got to figure out how many minutes each 1/7 is, so you devide 4 into 36 which is 9. Now that you know each 1/7 is 9 you just multiply 9•7=63

8 0

3 years ago

Read 2 more answers