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klio [65]
3 years ago
11

The value of y varies directly with x, and y=28 when x=7. Find y when x=4 by first finding k.

Mathematics
1 answer:
lesya692 [45]3 years ago
7 0
Direct proportionality is the type of proportionality where an increase in one quantity or variable causes a corresponding increase in another quantity. 
Therefore; y varies directly as x
Hence; y α x
             y =k x where k is a constant 
if y= 28 and x = 7 , then k = 28/4 =4
hence, y = 4 k
when x = 4, then y= 16

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Mice21 [21]

<em><u>GIVEN</u></em><em><u> </u></em><em><u>EQUATION</u></em><em><u> </u></em><em>:</em><em>-</em>

<em>x</em><em> </em><em>+</em><em> </em><em>6</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>9</em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em><u> </u></em><em><u> </u></em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>•</em><em>•</em><em>•</em><em> </em><em>(</em><em>i</em><em>)</em>

We have to find missing coordinate in ordered pair (2,?).

From ordered pair , we can observe that value of x is 2.

Putting value of x in equation (i).

2 + 6 y = 9

=> 6y = 9 -2

=> 6y = 7

=> y = 6/7

=> y = 0.8571428571

=> y = 0.86 (approx )

Now , ordered pair is ( 2, 0.86)

#$# HOPE YOU UNDERSTAND #$#

#$¥ THANK YOU ¥$#

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4 0
3 years ago
Read 2 more answers
9 pencils cost $7.74.Which equation would help determine the cost of 6 pencils?
Dima020 [189]

Answer:

The equation is x= (7.74 /9) 6  

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

If 9 pencils cost $7.74, we have to divide the total cost ($7.74) by the number of pencils (9) to obtain the price of 1 pencil.

Now that we have the price of 1 pencil, to obtain the cost of 6 of them we simply multiply the result by six.

Mathematically speaking:

x= (7.74 /9) 6  

Where:

x = Cost of 6 pencils in $

Solving:

x = 0.86 x 6 = $5.16

8 0
3 years ago
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Evaluate the double integral ∬Ry2x2+y2dA, where R is the region that lies between the circles x2+y2=16 and x2+y2=121, by changin
olga2289 [7]

Answer:

See answer and graph below

Step-by-step explanation:

∬Ry2x2+y2dA

=∫Ry.2x.2+y.2dA

=A(2y+4Ryx)+c

=∫Ry.2x.2+y.2dA

Integral of a constant ∫pdx=px

=(2x+2.2Ryx)A

=A(2y+4Ryx)

=A(2y+4Ryx)+c

The graph of y=A(2y+4Ryx)+c assuming A=1 and c=2

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3 years ago
If f(x)=(2x^2)-1, find:<br> -f(3x-1)+2
Sergeeva-Olga [200]

Answer:

-f(3x - 1) + 2 = -18x² + 12x + 1

Step-by-step explanation:

Step 1: Find f(3x - 1)

f(3x - 1) = 2(3x - 1)² - 1

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f(3x - 1) = 18x² - 12x + 1

Step 2: Plug in f(3x - 1)

-(18x² - 12x + 1) + 2

Step 3: Evaluate

-18x² + 12x - 1 + 2

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Answer: k= 4

Step-by-step equation

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