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Annette [7]
3 years ago
13

(2.01) solve -2(2x + 5) - 3 = -3(x - 1)

Mathematics
2 answers:
steposvetlana [31]3 years ago
6 0
<span>solve -2(2x + 5) - 3 = -3(x - 1)

-4x - 10 -3  = -3x + 3
-4x - 13 = -3x + 3

Add 3x to both sides
-4x - 13 +3x = -3x +3

Simplify
-x - 13 = 3
Add 13 to both sides
-x - 13 + 13 = 3 + 13

Simplify 
-x = 16

multiply both sides by (-1) 
x = -16</span>
liq [111]3 years ago
3 0
-2(2x + 5) - 3 = -3(x - 1)...distribute thru the parenthesis
-4x - 10 - 3 = -3x + 3 ...simplify
-4x - 13 = -3x + 3...add 3x to both sides
-4x + 3x - 13 = 3 ...add 13 to both sides
-4x + 3x = 3 + 13 ...combine like terms
-x = 16 ... multiply by -1 to make x positive
x = -16
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Please Helpp! The picture posted is the question I have . TIA
OleMash [197]

The equation for volume of a sphere is:

Volume = 4/3 * PI * r^3

r is the radius = 1 inch

Volume is given as 4 cubic inches per second increase.

Given: dv/dt = 4 cubic inches per second.

Need to find dr/dt

Formula for volume of a sphere is: V = 4/3 * π * r^3

so now we have:

4 in^3 = 4 * π *1^2

Divide both sides by 4 * π *1^2

4 in^3 / 4π = 1/π inch per second.

The answer is 1/π inch per second ( exact answer)

or as a decimal: 0.3183 ( round as needed).

4 0
2 years ago
On day t=0t=0t, equals, 0, the stock is at its average value of {\$}3.47$3.47dollar sign, 3, point, 47 per share, but 91.2591.25
Norma-Jean [14]

Answer:

S(t) = a.sin (b.t) + d

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Step-by-step explanation:

Complete Question is presented in the attached image to this solution.

- Dingane has been observing a certain stock for the last few years and he sees that it can be modeled as a function S(t) of time t (in days) using a sinusoidal expression of the form

S(t) = a.sin(b.t) + d.

On day t = 0, the stock is at its average value of $3.47 per share, but 91.25 days later, its value is down to its minimum of $1.97.

Find S(t). t should be in radians.

S(t) =

Solution

S(t) = a.sin(b.t) + d.

At t = 0, S(t) = $3.47

S(0) = a.sin(b×0) + d = a.sin 0 + d = 3.47

Sin 0 = 0,

S(t=0) = d = 3.47.

At t = 91.25 days, S(t) = $1.97

But, it is given that T has to be in radians, for t to be in radians, the constant b has to convert t in days to radians.

Hence, b = (2π/365)

S(91.25) = 1.97 = a.sin(b×91.25) + d

d = 3.47 from the first expression

S(t = 91.25) = a.sin (91.25b) + 3.47 = 1.97

1.97 = a.sin (2π×91.25/365) + 3.47

1.97 = a sin (0.5π) + 3.47

Sin 0.5π = 1

1.97 = a + 3.47

a = -1.5

Hence,

S(t) = a.sin (b.t) + d

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Hope this Helps!!!

6 0
3 years ago
O
RSB [31]
他自己是我心目中最重要就是這樣啊。我們都會繼續
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3 years ago
Solve for y and find solution
Arisa [49]
Please give the equation.
5 0
3 years ago
you can speed from 0 to 25 m/s in 25 seconds and your friend can speed up from 0 to 6 m/s in 6 seconds. who is faster
aksik [14]

Answer:

Neither; see below

Step-by-step explanation:

Your acceleration: a=\frac{\Delta v}{\Delta t}=\frac{25-0}{25}=1m/s^2

Your friend's acceleration: a=\frac{\Delta v}{\Delta t}=\frac{6-0}{6}=1m/s^2

Therefore, since both you and your friend accelerate at the same rate, neither is faster.

7 0
2 years ago
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