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Aloiza [94]
3 years ago
5

What is the equation of the line that includes points (25, 100) and (15, 120)

Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0

Answer:

y = -2x + 150

Step-by-step explanation:

y2 - y1 / x2 - x1

120 - 100 / 15 - 25

20 / -10

= -2

y = -2x + b

100 = -2(25) + b

100 = -50 + b

150 = b

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A grocery store sells 6 bottles of water for $4 and 18 bottles of water for $10. Which is the better deal and why?
nasty-shy [4]

Answer:

18 bottles of water for $10 because each bottle costs 56c compared to 6 bottles of water for $4 at 67c

Step-by-step explanation:

All values rounded to the hundredth

6 bottles of water for $4

4/6=0.67

Each bottle costs 67c

18 bottles of water for $10

10/18=0.56

Each bottle costs 56c

6 0
3 years ago
A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the​ b
olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}

Volume of sphere is given by

V = \dfrac{4}{3}\pi r^3

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}

Putting values, we get,

64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.

5 0
3 years ago
What is the domain of the function represented by this graph?
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