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Setler79 [48]
3 years ago
15

Factor 8x^5+4x^2−12

Mathematics
2 answers:
Effectus [21]3 years ago
4 0
D) because only 4 is the common factor in the equation.
harina [27]3 years ago
4 0

Answer:

Option D : 4(2x^{5} +x^{2} -3)

Step-by-step explanation:

Given :8x^{5} +4x^{2} -12

Solution:

Option A: 8(x^{5} +4x^{2} -12)

solving this

8x^{5} +32x^{2} -96

Since we are not getting the given expression after solving this .

Hence this wrong option

Option B: 4(2x^{5} +4x^{2} -12)

solving this

8x^{5} +16x^{2} -48

Since we are not getting the given expression after solving this .

Hence this wrong option

Option C: 4x^{2}(2x^{3} + x -3)

Solving this

8x^{5} + 4x^{3} -3x^{2}

Since we are not getting the given expression after solving this .

Hence this wrong option

Option D : 4(2x^{5} +x^{2} -3)

Solving this

8x^{5} + 4x^{2} -12

Since we are getting the given expression after solving this option

Hence Option D is correct

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Using the functions f(x) = (3 - x)/(x2 + 4) and g(x) = 3x, find the value of (f*g)(2).
wariber [46]

9514 1404 393

Answer:

  (f×g)(2) = 3/4

Step-by-step explanation:

For each of the functions, put 2 where x is and evaluate the expression.

  f(2) = (3 -2)/(2² +4) = 1/8

  g(2) = 3×2 = 6

Then the product is ...

  (f×g)(2) = f(2)×g(2) = (1/8)×6 = 6/8

  (f×g)(2) = 3/4

4 0
3 years ago
Help!!
ioda

We might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

<h3>What is a sequence?</h3>
  • A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms).
  • The length of the series is defined as the number of items (which could be infinite).
  • Unlike a set, the same components can appear numerous times in a sequence at different points, and the order does important.
  • Formally, a sequence can be defined as a function from natural numbers (the sequence's places) to the elements at each point.
  • The concept of a sequence can be expanded to include an indexed family, which is defined as a function from an index set that may or may not contain integers to another set of elements.

Recursive formulas are commonly used to compute the nth term of a sequence, where a(n) is the sum of all the preceding values.

Using its position, explicit formulas can compute a(n).

Therefore, we might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

Know more about sequences here:

brainly.com/question/6561461

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7 0
2 years ago
The sum of two numbers is 30. the first number is 1/5 of the second number. what are the numbers?
bonufazy [111]
Same question
x+y=30
x is 1/5 of y
x=y/5
subsitute
y/5+y=30
multily both sidse by 5
y+5y=150
add
6y=150
divide both sides by 6
y=25
subsitute
x=y/5
x=25/5
x=5
the numbers are 5 and 25

6 0
3 years ago
What is your estimate for the number of airline flights in a year?
Firdavs [7]
The answer is between 45,000,000-65,000,000
8 0
3 years ago
A chemist has a 40% alcohol solution and a 25% alcohol solution. How much of each should he mix together to get 50 liters of a 3
ludmilkaskok [199]

Answer:

33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution

Step-by-step explanation:

Set up two equations...

Let x represent the number of Liters of the 40% solution

Let y represent the number of Liters of the 25% solution

We need 50 liters total, so

x + y = 50

and we need the 50 L to be 35% solution, so

0.4x = 0.25y =  0.35(50)  

Solve the first equation for one variable...

x = 50 - y             (subtract y from both sides in equation 1)

Now substitute that value into the second equation...

0.4(50 - y) + 0.25y = 17.5      (x becomes 50 - y, 0.35(50) = 17.5)

Now solve for y...

20 - 0.4y + 0.25y = 17.5

  -0.15y = -2.5

      y = 16.66666667

        y = 16 2/3 L

So we need to plug that into the first equation to find 'x'

x + 16 2/3 = 50

x = 50 - 16 2/3

x = 33 1/3

3 0
3 years ago
Read 2 more answers
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