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MAVERICK [17]
4 years ago
12

What is the formula for finding the initial value?

Mathematics
1 answer:
My name is Ann [436]4 years ago
3 0
This is the formula to find the initial value

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Write each expression as a product of linear factors 1. X^2+1/2x 2. X^2+2x-3 3. (2x-3)^2 4. X^3+2x^2-19x-20
Grace [21]

Answer:

1. X^2+1/2x = x(x+\frac{1}{2})

2.  X^2+2x-3 = (x-1)(x+3)

3. (2x-3)^2 = (2x-3)(2x-3)

4. X^3+2x^2-19x-20 = (x+1)(x-4)(x+5)

Step-by-step explanation:

Each expression can be written as a product of linear factors as follows

1. X^2+1/2x ⇒ x^{2} + \frac{1}{2}x

x^{2} + \frac{1}{2}x = x(x+\frac{1}{2})

Hence,  X^2+1/2x = x(x+\frac{1}{2})

2. X^2+2x-3 ⇒ x^{2} +2x-3

x^{2} +2x-3 = x^{2} +3x-x-3

x^{2} +3x-x-3 = x(x+3) -1(x+3)

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

Hence,  X^2+2x-3 = (x-1)(x+3)

3. (2x-3)^2 ⇒(2x-3)^{2}

(2x-3)^{2} = (2x-3)(2x-3)

Hence, (2x-3)^2 = (2x-3)(2x-3)

4. X^3+2x^2-19x-20 ⇒ x^{3}+2x^{2} -19x -20

x^{3}+2x^{2} -19x -20  = (x+1)(x^{2} +x-20)

First,

x^{2} +x-20 = x^{2} +5x-4x-20\\x^{2} +5x-4x-20= x(x+5)-4(x+5)\\x(x+5)-4(x+5) = (x-4)(x+5)

∴ (x+1)(x^{2} +x-20) = (x+1)(x-4)(x+5)

Hence, X^3+2x^2-19x-20 = (x+1)(x-4)(x+5)

3 0
3 years ago
1) (28 ÷ 4) + 3 + (10 - 8) × 5 2) 12 - 5 + 6 × 3 + 20 ÷ 4 3) 36 ÷ 9 + 48 - 10 ÷ 2 4) 10 + 8 × 90 ÷ 9 - 4 5) 8 × 3 + 70 ÷ 7 – 7
artcher [175]

Answer:

1) 20.

2) 30.

3) 47.

4) 86.

5) 27.

Step-by-step explanation:

The order of operations consist in, first, evaluate the parenthesis, then the exponents, the multiplication, the division, and as last the addition and subtraction. Having this in mind:

1) (28 ÷ 4) + 3 + (10 - 8) × 5

7 + 3 + 2 × 5

7 + 3 + 10

20

2) 12 - 5 + 6 × 3 + 20 ÷ 4

12 - 5 + 18 + 5

30

3) 36 ÷ 9 + 48 - 10 ÷ 2

4 + 48 - 5

47

4) 10 + 8 × 90 ÷ 9 - 4

10 + 80 - 4

86

5) 8 × 3 + 70 ÷ 7 – 7

24 + 10 - 7

27

6 0
3 years ago
Round this number to the nearest one.<br> 7,005.9
eimsori [14]
7,005.9 rounded to the nearest ones would be 7,006.
6 0
3 years ago
Margie is responsible for buying a week's supply of food and medication for the dogs and cats at a local shelter. The food and m
OLEGan [10]
Margie can spend $40 per dog for food and medication and $20 per cat.

I can explain the working out if you need it
6 0
4 years ago
For what of x is the equation 2(x - 12) + x = 36?
blsea [12.9K]

Answer:

The answer is J. 20 substitute it in and it works.

8 0
3 years ago
Read 2 more answers
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