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insens350 [35]
3 years ago
13

(x + 3)^2 - 4x^2 Factorise using the difference of two squares

Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

Answer:

3(x + 1)(3 - x).

Step-by-step explanation:

(x + 3)^2 - 4x^2

Using the identity a^2 - b^2 = (a - b)(a + b), we have

(x + 3 - 2x)(x + 3 + 2x)

= (-x + 3)(3x + 3)

= 3(x + 1)(3 - x)

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Evaluate the function g(x) = -2x- + 3x - 5 for the input values -2, 0, and 3.
gladu [14]

Answer:

g(-2)=3

g(0)=-5

g(3)=2

Step-by-step explanation:

g(-2)= -2(-2)+ 3(-2) - 5

4-6-5

2-5

g(-2)=3

g(0)= -2(0) + 3 (0)-5

0+0-5

g(0)=-5

g(3)= -2(3) + 3(3)-5

-6+9-5

3-5

g(3)=2

6 0
3 years ago
Read 2 more answers
When x=12 y=8. find y when x=42
Ahat [919]

Answer:

\frac{12}{8}  =  \frac{42}{y}  \\ y =  \frac{42 \times 8}{12}  \\ \boxed{ y = 28}

<h3>28 is the right answer.</h3>
4 0
3 years ago
A new car is purchased for 24600 dollars. The value of the car depreciates at 5.5% per year. To the nearest year, how long will
boyakko [2]

Answer:

The number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

This can be calculated using the following formula:

Value of the Car = Purchase cost - (Annual depreciation expenses * N) ........ (1)

Where;

N = Number of years until the value of the car is 11300 dollars

Purchase cost = $24,600

Annual depreciation rate = 5.5%

Annual depreciation expenses = $24,600 * 5.5% = $1,353

Value of the car = $11,300

Substituting the value into equation (1) and solve for N, we have:

$11,300 = $24,000 - ($1,353 * N)

$1,353 * N = $24,000 - $11,300

$1,353 * N = $12,700

N = $12,700 / $1,353

N = 9.38654841093865

Rounding to the nearest year as required by the question, we have:

N = 9

Therefore, the number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

4 0
3 years ago
X^2 + 10x + 12 <br> please help!!
earnstyle [38]

Answer:

This cannot be simplified any further. That is the simplest you'll get.

8 0
3 years ago
$6.23 + $4.36 + $3.62 + $2.19 + $3.50 + $2.99 + tip: $3.43, + tax: $1.60
Lisa [10]
The answer is $27.92
5 0
3 years ago
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