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Anit [1.1K]
3 years ago
14

Find the following products:

Mathematics
1 answer:
baherus [9]3 years ago
7 0

Answer:

i. x^2 – 1

ii. x^3 – 1

iii. x^4 - 1

Step-by-step explanation:

Products are obtained by multipliyng each left term by each rigth term as follows:

i. (x- 1)(x+ 1) = (x^2  – x + x - 1) = x^2 – 1 (equal terms with opposite sign substracts and the result is 0)

ii. (x- 1)(x^2 + x + 1) = (x^3 – x^2 + x^2 – x + x – 1) = x^3 – 1

iii. (x- 1)(x³ + x² + x + 1) = (x^4 – x^3 + x^3 – x^2 + x^2 – x + x – 1) = x^4 - 1

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5x + 4 = 9 + 5(x - 1)​
Wittaler [7]

Answer:

All real numbers are solutions!

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+4=9+5(x−1)

Step 1: Simplify both sides of the equation.

5x+4=9+5(x−1)

5x+4=9+(5)(x)+(5)(−1)(Distribute)

5x+4=9+5x+−5

5x+4=(5x)+(9+−5)(Combine Like Terms)

5x+4=5x+4

5x+4=5x+4

Step 2: Subtract 5x from both sides.

5x+4−5x=5x+4−5x

4=4

Step 3: Subtract 4 from both sides.

4−4=4−4

0=0

4 0
3 years ago
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jekas [21]

Answer:

13. After 25 days

14. 68-77 degress

Step-by-step explanation:

13.

100*3= 300

300-100= 200

200/8= 25

4 0
3 years ago
Read 2 more answers
Solve the formula for V.
Alina [70]

Answer:

V = Bh/3

Step-by-step explanation:

V = Bh/3

4 0
3 years ago
Whats the nearest 0.05 of 82
r-ruslan [8.4K]
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7 0
4 years ago
Convert the following decimal values into binary (a) 141 (b) 207 (c) 144
sergejj [24]

Answer:

a)(141)_{10}=(10001101)_2

b)(207)_{10}=(11001111)_2

c) (144)_{10}=(10010000)_2                    

Step-by-step explanation:

We need to convert decimal value  in binary value

So Follow the below steps

Keep on dividing the decimal values by 2 until the denominator becomes 0 or 1.

a)

    Decimal value                  Quotient         Remainder

        141                                     70                       1            

        70                                     35                       0

        35                                      17                        1

        17                                        8                         1

        8                                          4                        0

        4                                          2                        0

        2                                           1                        0

        1                                            0                        1

Now write remainder  from bottom to up 10001101.

(141)_{10}=(10001101)_2

10 base is called  decimal value and base 2 is called binary value.

b)

  Decimal value                  Quotient         Remainder

        207                                     103                    1            

        103                                    51                        1

        51                                      25                       1

        25                                      12                       1

        12                                        6                       0

        6                                          3                      0

        3                                          1                       1

        1                                           0                      1

Now write remainder  from bottom to up 11001111.

 (207)_{10}=(11001111)_2    

c)

 Decimal value                  Quotient         Remainder

        144                                     72                   0            

        72                                     36                     0

        36                                      18                     0

        18                                       9                      0

        9                                        4                       1

        4                                        2                      0

        2                                         1                      0

        1                                          0                     1                                                                      

Now write remainder  from bottom to up 10010000.

 (144)_{10}=(10010000)_2    

6 0
3 years ago
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