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Rina8888 [55]
3 years ago
5

Factor completely:

Mathematics
1 answer:
padilas [110]3 years ago
8 0

Answer:

d) 2x²(6x³ + 3x + 4)

Step-by-step explanation:

In order to factor the given polynomial, you need to find the greatest common factor of all three terms:  12x^{5}+6x^{3}+8x^{2}

The greatest common factor is '2' and the variable is x².  If we factor out 2x² from each term, we get:

2x²(6x³ + 3x + 4)

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What is the least common denominator of the fractions 2/3, 1/4, 1/8 and ?
KiRa [710]

Answer:

24

Step-by-step explanation:

That's the first number that all your denominators have in common.

3 0
3 years ago
21 Last year Chelsea and Sonya took 236 pictures during Thanksgiving. This year Chelsea and Sonya each took the same amount of p
Leokris [45]

Let 'c' represent the number of pictures Chelsea took.

Let 's' represent the number of pictures Sonya took.

For last year's Thanksgiving, c + s = 236

For this year's Thanksgiving, let 'x' represent the number of photos taken in total. x = c + s, where c and s are two integers that are the same (c = s).

And we know that for both years, c + s + x = 500.

As we know that c + s is already 236 from last year, we can remove c + s from the equation in bold and replace it with 236 instead.

236 + x = 500.

Now we have to isolate the x term.

x = 500 - 236

x = 264.

We know that x = c + s, where c and s are the same, so we can just use one of the variables and double it (so you either get 2c or 2s - it doesn't matter which one you pick because they're both the same).

2c = 264

c = 132

c = s

s = 132.

Both took 132 pictures this year.

4 0
3 years ago
If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?
kodGreya [7K]

Answer:

The value of n is -6

Step-by-step explanation:

  • If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
  • If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
  • The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

∵ k(x) = x²

→ Its graph is a parabola with vertex (0, 0)

∴ The vertex of the prabola which represents it is (0, 0)

∵ The given graph is the graph of p(x)

∵ Its vertex is (0, -6)

∴ h = 0 and k = -6

∵ a = 1

→ Substitute them in the form above

∴ p(x) = 1(x - 0)² + -6

∴ p(x) = x² - 6

→ Substitute x² by k(x)

∴ p(x) = k(x) - 6

∵ p(x) = k(x) + n

→ By comparing the two right sides

∴ n = -6

∴ The value of n is -6

Look at the attached figure for more understanding

The red parabola represents k(x)

The blue parabola represents p(x)

8 0
2 years ago
My grades depend on this question! Please help! Brainliest will be given out for this!​
Svetradugi [14.3K]

Answer:

2006

Step-by-step explanation:

1 + 2(1027) + 6 + 7 - 8 • 9 + 10

1 + 2054 + 6 + 7 - 72 + 10

2006

8 0
3 years ago
Log (x+2) base 5- log (x) = log (2x-1) base 5 - log (3x-12) base 5
Vlad [161]

Answer:

x ≅ 5.44864209

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

3 0
3 years ago
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