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zysi [14]
3 years ago
6

Find the variation constant and an equation of variation where y varies directly as x and y=16 when x=2

Mathematics
1 answer:
Jlenok [28]3 years ago
5 0

Answer:

variation constant = k = 8

equation of variation : y = 8x

Step-by-step explanation:

Any relationship of variation can be written as y = kx

where k is the variation constant.

_______________________________________

Let the equationof relation between y and x be y =kx here as well

given

y = 16 when x = 2

substituting this value in the equation y = kx

16 = k*2

=> k = 16/2 = 8

Thus,

variation constant = k = 8

equation of variation : y = 8x

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What happens to the function f(x)=x4 when it becomes f′(x)=x4+5?
elena-s [515]
I think it moves 5 units to the right Im not sure tho!!
8 0
3 years ago
If 1/p+q=r and p≠-q, what is p in terms of r and q?
bekas [8.4K]

p = (1/r) - q

In order to find this, follow the order of operations to get the answer.

1/p+q = r ----> Multiply both sides by p+q

1 = r(p + q) -----> Divide by r

1/r = p + q -----> subtract q from both sides

(1/r) - q = p

5 0
3 years ago
A line passes through $A(1,1)$ and $B(100,1000)$. How many other points with integer coordinates are on the line and strictly be
jonny [76]

Answer:

98

Step-by-step explanation:

Integers are whole numbers or opposite of whole numbers.

The slope is 1.

How?

Change of y is 100-1=99.

Change of x is 100-1=99.

The slope is 99/99=1 or 1/1.

So if we start at (1,1) and we rise 1 and run 1 right, we get (2,2).

If we do that again from (2,2) we get (3,3).

Following the pattern of going up 1 and right from each new location discovered we get all the of these points:

Start (1,1)

(2,2)

(3,3)

(4,4)

(5,5)

(6,6)

....

(96,96)

(97,97)

(98,98)

(99,99)

end (100,100)

So we just need to count all the numbers from 2 to 99.

99-2+1

97+1

98

7 0
3 years ago
7/12-9/8(2x-1)-5/6(3x+2)
butalik [34]
7/12-9/8(2x-1)-5/6(3x+2)=0
(7*2-9(2x-1)*3-5(3x+2)*4)/24=0
(14-9(2x-1)*3-5(3x+2)*4)/24=0
(14-27(2x-1)-20(3x+2)/24=0
(14-54x+27-60x-40)/24=0
(14+(-54x-60x)+27-40)/24=0
(14-114x+27-40)/24
(-144x+1)/24=0
-114x+1=0
-114x=-1
x=1/144
4 0
3 years ago
Morgan is a real estate agent and most recently made $12,500 on the sale of a home. Her commission she earns in selling homes is
ra1l [238]

Answer:

$104,167 approx.

Step-by-step explanation:

Step one:

Given data

Morgan made $12,500 on the sale of a home.

Her commission she earns in selling homes is 12%

Step two:

let the cost of the home be x

So 12% of x= 12,500

12/100*x= 12,500

0.12*x=12,500

0.12x=12,500

divide both sides by 0.12

x= 12,500/0.12

x=$104,166.66

x=$104,167

8 0
3 years ago
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