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Illusion [34]
3 years ago
9

Simplify (4x^2 + 12x - 9) + (7x^2 - x + 3)

Mathematics
2 answers:
AVprozaik [17]3 years ago
5 0

Answer:

11x^2 + 11x - 6

Step-by-step explanation:

  1. <em>Remove</em> the parenthesese.
  2. <u>Add like terms</u>, 4x^2 and 7x^2.
  3. After that, <em>subtract</em> x from 12x, that's 11x.
  4. then<em> add</em> -9 and 3, and that's -6.

Then you're left with 11x^2 + 11x - 6

I hope this helps!

jasenka [17]3 years ago
3 0

Answer:

The correct answer is 11x²  + 11x - 6

Step-by-step explanation:

The given expression is,

(4x² + 12x - 9) + (7x² - x + 3)

<u>Simplify the given expression</u>

(4x² + 12x - 9) + (7x² - x + 3) = 4x² + 12x - 9 + 7x² - x + 3

= 4x² + 7x²  + 12x - x - 9 + 3

= 11x²  + 11x - 6

Therefore the simplified form of given expression is 11x²  + 11x - 6

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kherson [118]

Answer:

8 because 4+4=8 and 5+5=10

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2 years ago
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At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?
Papessa [141]

Answer:

3 to 5 This is because if you simplify the ratio by dividing each number in the ratio by 4, therefore for every group of 5 birds 3 of them are parrots

Step-by-step explanation:

5 0
3 years ago
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(a) By inspection, find a particular solution of y'' + 2y = 14. yp(x) = (b) By inspection, find a particular solution of y'' + 2
SOVA2 [1]

Answer:

(a) The particular solution, y_p is 7

(b) y_p is -4x

(c) y_p is -4x + 7

(d) y_p is 8x + (7/2)

Step-by-step explanation:

To find a particular solution to a differential equation by inspection - is to assume a trial function that looks like the nonhomogeneous part of the differential equation.

(a) Given y'' + 2y = 14.

Because the nonhomogeneus part of the differential equation, 14 is a constant, our trial function will be a constant too.

Let A be our trial function:

We need our trial differential equation y''_p + 2y_p = 14

Now, we differentiate y_p = A twice, to obtain y'_p and y''_p that will be substituted into the differential equation.

y'_p = 0

y''_p = 0

Substitution into the trial differential equation, we have.

0 + 2A = 14

A = 6/2 = 7

Therefore, the particular solution, y_p = A is 7

(b) y'' + 2y = −8x

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x

2Ax + 2B = -8x

By inspection,

2B = 0 => B = 0

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x

(c) y'' + 2y = −8x + 14

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x + 14

2Ax + 2B = -8x + 14

By inspection,

2B = 14 => B = 14/2 = 7

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x + 7

(d) Find a particular solution of y'' + 2y = 16x + 7

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = 16x + 7

2Ax + 2B = 16x + 7

By inspection,

2B = 7 => B = 7/2

2A = 16 => A = 16/2 = 8

The particular solution y_p = Ax + B

is 8x + (7/2)

8 0
3 years ago
What is the greatest common factor of 12 and 18?
german

Answer:

6

Step-by-step explanation:

n terms of numbers, the greatest common factor  is the largest natural number that exactly divides two or more given natural numbers. Example 1: 6 is the greatest common factor of 12 and 18

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23% of 75 is what number?
Nonamiya [84]

Answer:

17.25 or 69/4 as a fraction

Step-by-step explanation:

use the desmos scientific calculator :) hope this helped

5 0
3 years ago
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