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ohaa [14]
3 years ago
8

Two quantities are related, as shown in the table:

Mathematics
1 answer:
morpeh [17]3 years ago
3 0
Calculate the slope:
m = y2-y1 / x2-x1
m = 4-3 / 4-2
m = 1/2

Now, y-y1 = m(x- x1)
y - 3 = 1/2(x - 2)
y - 3 = 1/2x - 1
y = 1/2x + 2

In short, Your Answer would be: Option A

Hope this helps!
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3 years ago
A packaging company is going to make open-topped boxes, with square bases, that hold 140 cubic centimeters. What are the dimensi
Kitty [74]

Answer:

x = 6.54 cm

h = 3.27 cm

Step-by-step explanation:

Volume of open top box

V = 140 cm³

Dimensions of the box

It is a base square box then area of the base of side x is

A(b) = x²

And we will call h the height of the box then

V = 140   ⇒    140 = x²*h     ⇒   h = 140/ x²

We have to calculate the area of the 4 sides

Area of one side is  As = x*h        ⇒ total area of 4 sides = 4 x* 140/x²  

Ats  =  560/x

Then Total area of the box is

A(t)  =  Area of the base  +  Total area of sides

A(x)  =   x²  +   560/x

Taking derivatives on both sides of the equation we get:

A´(x)  =  2x   -  560/x²

A´(x)  =  0     ⇒    2x   -  560/x² = 0   ⇒   2x³  -  560  = 0

x³  =  280     ⇒    x  = 6.54 cm

And h      h  =  140/ (6.54)²    ⇒ h =  140/ 42.77    h  = 3.27 cm

8 0
3 years ago
The sum of two numbers is 139 and the difference is 53. Explain how to find the two numbers.
Airida [17]

Answer:

43 & 96

Step-by-step explanation:

x=one number

y=other number

x+y=139

x-y=53     x=y+53

substitute for x

y+53+y=139

reduce

2y+53-53=139-53

2y=86

2y/2=86/2

y=43

x=96

5 0
3 years ago
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