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k0ka [10]
3 years ago
6

DIL Which are solutions of the equation 4x2 - 7x = 3x + 24?

Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0
Fraction=-8/5
Decimal=-1.6
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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
faltersainse [42]

Answer:

V = 34,13*π   cubic units

Step-by-step explanation: See Annex

We find the common points of the two curves, solving the system of equations:

y²  = 2*x                           x = 2*y  ⇒  y = x/2

(x/2)² = 2*x

x²/4 = 2*x

x  =  2*4         x  = 8      and   y = 8/2       y = 4

Then point  P ( 8 ;  4 )

The other point Q is  Q ( 0; 0)

From these  two points, we get the integration limits for dy ( 0 , 4 )are the integration limits.

Now with the help of geogebra we have: In the annex segment ABCD is dy then

V = π *∫₀⁴ (R² - r² ) *dy   =  π *∫₀⁴ (2*y)² - (y²/2)² dy =  π * ∫₀⁴ [(4y²) - y⁴/4 ] dy

V = π * [(4/3)y³ - (1/20)y⁵] |₀⁴

V =  π * [ (4/3)*4³ - 0 - 1/20)*1024 + 0 )

V = π * [256/3  - 51,20]

V = 34,13*π   cubic units

3 0
2 years ago
Blank numbers can be written as a product of blank factors.This is called the prime factorization of a number.
noname [10]
Yes, the blank numbers that can be written as a product of blank factors are called the prime factorization of a number. It can also be composite numbers where it can be written also as the product of prime factors. 
3 0
3 years ago
Read 2 more answers
a company uses 6000 gallons of water each month. If they reduce their monthly water used by 12%, how much water will be saved ea
iVinArrow [24]
They'll save 720 every month
7 0
3 years ago
Please help I’ll give you brainliest
Tju [1.3M]

Answer:

a. 7

b 8

c 9

d 10

e 10

f 44

Step-by-step explanation:

3 0
2 years ago
Given the system of constraints, name all vertices of the feasible region. Then find the maximum value of the given object funct
Dmitrij [34]
Refer to the figure shown below.

The feasible region that satisfies all the constraints is the shaded region.
The bounding vertices are
A (0, 3)
B (0, 0)
C (5, 0)
D (1.5, 3.5)

All the functions that define the constraints are either linear or constant.
The maximum value is at vertex D, and equal to 3.5.

3 0
3 years ago
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