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3 years ago

Find the constant of proportionality k. Then write an equation for the

Mathematics

1 answer:

Nookie1986 [14]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

Given x and y are in proportion then the equation relating them is

y = kx ← k is the constant of proportion

To find k use an ordered pair from the table

Using (2, 10 ), then

10 = 2k ( divide both sides by 2 )

5 = k , thus

y = 5x ← relationship between x and y

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Select all of the chords:

Nostrana [21]

The first two
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3 years ago

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You have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. How many cases do you need to o

diamong [38]

Answer:
14 cases

Explanation:
First, we will need to find the number of cases needed per day:
We know that one case includes 150 bars and that the daily consumption is 300 bars. To know the number of cases needed daily, we will use cross multiplication as follows:
1 case .............> 150 bars
?? cases .........> 300 bars
number of cases needed daily = $\frac{300*1}{150}$ 
number of cases needed daily = 2 cases

Then, we will get the number of cases needed weekly (7 days):
We know that 2 cases are needed daily. To know the number of cases needed weekly (7 days), we will simply use cross multiplication as follows:
1 day .............> 2 cases
7 days ...........> ?? cases
number of cases needed weekly = $\frac{7*2}{1}$ 
number of cases needed weekly = 14 cases

Hope this helps :)

5 0

3 years ago

Company ABC produces widgets. They have found that the cost, c (x), of making x widgets is a quadratic function in terms of x. T

Dahasolnce [82]

The given function is a quadratic equation. Any quadratic equation can be written in the form :

$C(x)=ax^{2}+bx+c$

The given points can be taken as (2,23) ,(4,55) and(10,247)

We form three equations with the given points

For point (2,23 ) the equation is

23 = 4a + 2b + c

For point (4,55) the equation is

55 = 16a + 4b + c

For point (10,247) the equation is:

247 = 100a+10b+c.

Solving the three equations for a,b,c we have :

32 = 12a + 2b

16 = 6a + b

and,

192 = 84 a + 6b

32 = 14a + b

Solving for a,b,c we have:

a=2 b=4 c=7

The quadratic equation is c(x)= $2x^{2}+4x+7.$

When x=8

c(x)= $2(8)^{2}+4(8)+7= 167.$ ]

Option C. $167 is the right answer.

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3 years ago

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How do you write 15,409 in standerd form

MariettaO [177]

It is in standard form

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3 years ago

Plot the line for the equation on the graph. y-4=-1/4(x-5)

poizon [28]

First point given: (5,4)
Y = -1/4x + b
4 = -1/4(5) + b
4 = -5/4 + b
b = 2.75
Equation: y = -1/4x + 2.75

Find three points
(5,4), (9,5), (1,3)
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3 years ago