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AysviL [449]
3 years ago
8

I need Help with Functions ​

Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

Answer:

g(4) = \frac{5}{11}

Step-by-step explanation:

Given:

g(x) = \frac{x^2 - 6}{3x + 10}Required:g(4)Solution:Substitute x = 4 into [tex] g(x) = \frac{x^2 - 6}{3x + 10}

Thus:

g(4) = \frac{4^2 - 6}{3(4) + 10}

g(4) = \frac{16 - 6}{12 + 10}

g(4) = \frac{10}{22}

g(4) = \frac{5}{11}

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Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 7 cubic feet
olchik [2.2K]
V = (pi)r² h
v = (pi)5² h
v = 25(pi) h
take derivative with respect to h
dv/dh = 25(pi)

(dv/dt)*(dt/dh) = dv/dh

dv/dt is given to be 5 cm³
solved for dv/dh = 25(pi)

5(dt/dh) = 25(pi)
dt/dh = 25(pi)/5
dt/dh = 5(pi)

then the recipricol of dt/dh; we want to find dh/dt = 1/(5(pi))
5 0
3 years ago
May you all help me.I need to find this answer to help me study for my midterm test.I will give Brainliest.
Slav-nsk [51]

9514 1404 393

Answer:

  • x = 17
  • y = 26

Step-by-step explanation:

In the left problem, you use the fact that <em>the sum of the segment lengths is equal to the overall length</em>.

  AC +CB = AB

  (3x -4) +(x -2) = 62

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In the right problem, you use the fact that <em>the sum of the angles is equal to the overall angle</em>. Here, that overall angle is a linear angle, so measures 180°.

  ∠DFG +∠GFE = ∠DFE

  (5y +3) +(2y -5) = 180

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4 0
3 years ago
From 100 ounces to 25 ounces
Alchen [17]
75 Ounces Difference????????
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7 0
3 years ago
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AlexFokin [52]
Angle GQK=90
GQK=GQL+LQK
90=3n+(4n-15)
n=15
Therefore angle LQK=4(15)-15
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3 years ago
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Nata [24]

Answer:

334

Step-by-step explanation:

8 0
3 years ago
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