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riadik2000 [5.3K]
3 years ago
7

Factor the GCF from 96x2 + 88x.

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
7 0

Answer:

Step-by-step explanation:

1) Determine the GCF of the numbers 96 and 88

=> Decompose each number in their prime numbers:

=> 96 = (2^5)(3)

=> 88 = (2^3) (11)

=> GCF of 96 and 88 = 2^3 = 8

2) Determine the GCF of the letters, x^2 and x

=> x

3) Conclude the GCF of the terms is 8x

4) Now you can factor the expression by dividing each term by the GCF, 8x:

96 x^2 / (8x) = 12x

88x / (8x) = 11

The factored form is (8x) (12x + 11)

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the food bill for meal at a restaurant is $12. THe sales tax is 6.5%, and you leave 15% tip. Wat is the total cost of the meal?
jeka57 [31]

Answer:

Step-by-step explanation:

12*6.5%=0.72

12+15%=13.8

0.72+13.8=14.52

6 0
2 years ago
Find two values of c in (− π/ 4 , π /4) such that f(c) is equal to the average value of f(x) = 2 cos(2x) on ( − π/ 4 , π/ 4 ). R
pentagon [3]

Answer:

c₁ = 1/2 cos⁻¹ (2/π) = 0.44

c₂ = -1/2 cos⁻¹ (2/π) = -0.44

Step-by-step explanation:

the average value of f(x)=2 cos(2x) on ( − π/ 4 , π/ 4 ) is

av f(x) =∫[2*cos(2x)] dx /(∫dx) between limits of integration − π/ 4 and π/ 4

thus

av f(x) =∫[cos(2x)] dx /(∫dx) = [sin(2 * π/ 4 ) - sin(2 *(- π/ 4 )] /[ π/ 4 -  (-π/ 4)]

= 2*sin (π/2) /(π/2) = 4/π

then the average value of f(x) is 4/π . Thus the values of c such that f(c)= av f(x) are

 4/π = 2 cos(2c)  

2/π = cos(2c)

c = 1/2 cos⁻¹ (2/π) = 0.44

c= 0.44

since the cosine function is symmetrical  with respect to the y axis then also c= -0.44 satisfy the equation

thus

c₁ = 1/2 cos⁻¹ (2/π) = 0.44

c₂ = -1/2 cos⁻¹ (2/π) = -0.44

4 0
3 years ago
A tree broke due to storm at a point but did not get separate . its tops touched the ground at a distance of 10 m from its base
kirill [66]
Would it be 25 meters? lol
7 0
3 years ago
An aircraft has 116 seats.Th airline has found from long experience that on average 2.5%of people who have brought tickets for a
beks73 [17]
Approximately 2 people will not turn up to the flight.
I figured it out by finding 1% (1.16) 
multiplying it by 2 (2.32)
halving 1.16 to find 0.5% (0.58)
And then adding 0.58 to 2.32 to find 2.5% (1.9256)
Round that up to 2 as you cannot have 0.9256 of a person.
Therefore 118 people will arrive for the flight.
Hope I helped
7 0
3 years ago
Answer to this??????
aliya0001 [1]

Answer:

its 40 milmeters

Step-by-step explanation:

8 0
3 years ago
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