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marin [14]
3 years ago
11

What is: (s+12)+(3s-8) simplified?

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0

Answer:

4s+4

Step-by-step explanation:

I hoped this helped :)

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How many planes appear in this figure?
Alexus [3.1K]

Answer:

5

if the rectangle isn't connected and you count the bottom face, 6

brainliest plz

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Nicholas is currently in eighth grade and intends to attend a state college when he finishes high school. Nicholas’s parents cur
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20,814.00

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A cuboid with a volume of 924cm^3 has dimensions
Leona [35]

The values of x are -22 and 10

The dimensions are 4 cm , 11 cm , 21 cm

Step-by-step explanation:

The given is:

  • A cuboid with a volume of 924 cm³
  • It has dimensions  4 cm , (x + 1) cm and (x + 11) cm

We want to show that x² + 12x - 220 = 0, and solve the equation to find its dimensions

The volume of a cuboid is the product of its three dimensions

∵ The dimensions of the cuboid are 4 , (x + 1) , (x + 11)

∴ Its volume = 4(x + 1)(x + 11)

- Multiply the two brackets and then multiply the product by 4

∵ (x + 1)(x + 11) = (x)(x) +(x)(11) + (1)(x) + (1)(11)

∴ (x + 1)(x + 11) = x² + 11x + x + 11 ⇒ add like terms

∴ (x + 1)(x + 11) = x² + 12x + 11

∴ Its volume = 4(x² + 12x + 11)

∴ Its volume = 4x² + 48x + 44

∵ The volume of the cuboid = 924 cm³

- Equate the expression of the volume by 924

∴ 4x² + 48x + 44 = 924

- Subtract 924 from both sides

∴ 4x² + 48x - 880 = 0

- Simplify it by dividing all terms by 4

∴ x² + 12x - 220 = 0

Now let us factorize it into two factors

∵ x² = x × x

∵ 220 = 22 × 10

∵ 22(x) - 10(x) = 12x ⇒ the middle term

∴ x² + 12x - 220 = (x + 22)(x - 10)

∴ (x + 22)(x - 10) = 0

- Equate each factor by 0 to find x

∵ x + 22 = 0 ⇒ subtract 22 from both sides

∴ x = -22

∵ x - 10 = 0 ⇒ add 10 to both sides

∴ x = 10

∴ The values of x are -22 and 10

We can not use x = -22 because there is no negative dimensions, then we will use x = 10

∵ The dimensions are 4 , (x + 1) , (x + 11)

∵ x = 10

∴ The dimensions are 4 , (10 + 1) , (10 + 11)

∴ The dimensions are 4 cm , 11 cm , 21 cm

Learn more:

You can learn more about the factorization in brainly.com/question/7932185

#LearnwithBrainly

3 0
3 years ago
tickets at a particular movie theatre have different rates for adults and children. on a friday the theatre sold 4 adult tickets
maria [59]
Using elimination method. Using substitution will cause some fraction problems.

c- child tickets
a- adult tickets

4a + 7c = $83
5a + 6c = $90

multiply by -5

-20a - 35c = -$415
20a + 24c = $360

-11c= -$55
c = $5 child tickets

4a + 7(5)= $83

4a + 35 = $83

4a = $48

a= $12 adult tickets

4 0
3 years ago
Lf g(x) = x3 - 5 and h(x) = 2x - 2, find g(h(3)).
White raven [17]

Answer: g(h(3)) = 59

Step-by-step explanation:

Well if its x^3 I assume it is because you wrote other coefficients before the variable.

2(3) - 2 = 6-2 = 4

So 4 is the x input for h(x)

4^3 -5 = 64-5 = 59

7 0
3 years ago
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