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DiKsa [7]
3 years ago
6

A candle is 7 in. Tall after burning for 1 h. The same candle is 5 1/2 in. Tall after burning for 4 h. Write a linear equation t

o model the height y after burning x hours
Mathematics
1 answer:
miv72 [106K]3 years ago
5 0
You are given two points on the line:
.. (1, 7) and (4, 5.5)

You can use the 2-point form of the equation for a line.
.. y = (y2-y1)/(x2-x1)*(x -x1) +y1
.. y = (5.5 -7)/(4 -1)*(x -1) +7
.. y = -0.5x +7.5

Your linear equation is y = -0.5x +7.5
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The graph shows the relationship between the weight of an object on the moon and its weight on Earth.
OLEGan [10]

Answer:

It would have to be B: 6

Step-by-step explanation:

I would say this because I just did a quiz about it. Sorry for no explanation.

4 0
3 years ago
Read 2 more answers
If (x - 3) represents the side of a cube, what is the<br>polynomial that represents its volume?​
hichkok12 [17]

Answer:

x³ - 9x² + 27x - 27

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the measure of the side ) , thus

V = (x - 3)³

   = (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL

   = (x - 3)(x² - 6x + 9) ← distribute

   = x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms

   = x³ - 9x² + 27x - 27

3 0
3 years ago
There is a 40% chance that you will loose $25,000 if you invest in a company. But there is a 25% chance that you will break even
kenny6666 [7]
E[x] = \sum{p_i*x_i}
=0.4(-25000)+0.25*0+0.35(40000)
=-10000+0+14000
=+4000
6 0
3 years ago
Find the area of a circle with radius, r = 52cm squared
luda_lava [24]

Answer: 849

Step-by-step explanation:

πr^2

π x 52^2 = 8494.866535

3 SF = 849

5 0
3 years ago
A rectangular park is 6x + 2 ft long and
frosja888 [35]

Answer:

18x² + 48x - 50

Step-by-step explanation:

Area of rectangle = width x length

Area of square = width²

Therefore, area of park not occupied by the turtle park would be the area of the rectangular park MINUS the area of the turtle pond:

= (3x + 7)(6x + 2) - 8²

= 18x² +42x + 6x + 14 - 64

= 18x² + 48x - 50

5 0
3 years ago
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