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VashaNatasha [74]
3 years ago
15

Rewrite 4.4.6.4.4.6 using exponents​

Mathematics
1 answer:
kondaur [170]3 years ago
6 0

Answer:

4^{4}×6^{2}

Step-by-step explanation:

There is 2 of the same number 6 and there is 4 of the number 4

I hope this helps

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The range of all real numbers x such that 2x − 5 < 7 and 4x + 10 > 6 is . The range of all real numbers x such that 2x − 5
lisov135 [29]

Solution for Part 1:

2x − 5 < 7 and 4x + 10 > 6 is called a compound inequality. To find the range we need to solve each of the inequality and range would be the values of x which will make both the inequality TRUE.

Solving inequality 2x - 5 < 7:

2x - 5 < 7 {adding 5 on both sides}

2x - 5 + 5 < 7 + 5 {Combining like terms in either side of inequality}

2x < 12 {Dividing 2 on both sides}

2x/2 < 12/2 {Simplifying fraction in either side of inequality}

x < 6

Solving inequality 4x + 10 > 6:

4x + 10 > 6 {Subtracting 10 on both sides of inequality}

4x + 10 - 10 > 6 -10 {Combining like terms on either side}

4x > -4 {Dividing by 4 on both sides}

4x/4 > -4/4 {Simplifying each fraction}

x > - 1

Range of 2x − 5 < 7 and 4x + 10 > 6 will be all the x value which satisfy both the inequality x < 6 and x > -1.

Conclusion Part 1:

The range of all real numbers x such that 2x − 5 < 7 and 4x + 10 > 6 is can be given by interval notation (-1, 6)

Solution for part 2:

2x − 5 < 7 or 4x + 10 > 6 is called a compound inequality. To find the range we need to solve each of the inequality and range would be the values of x which The solution is same as part 1, with a small difference.

Range of 2x − 5 < 7 or 4x + 10 > 6 will be all the x value which satisfy any one of the inequality x < 6 or x > -1.

Conclusion Part 2:

The range of all real numbers x such that 2x − 5 < 7 or 4x + 10 > 6 is can be given by interval notation (-∞, ∞)

Note:

(i) When two inequalities are joined by the word and, the solution of the compound inequality occurs when both inequalities are true at the same time. It is the overlap, or intersection, of the solutions for each inequality.

(ii) When the two inequalities are joined by the word or, the solution of the compound inequality occurs when either of the inequalities is true. The solution is the combination, or union, of the two individual solutions.

6 0
3 years ago
How do i work this problem out
evablogger [386]
7/10 times 3/6 is 21/60 just multiply a cross
7 0
3 years ago
1,-4,-9,-14,-19 what’s the 5th term
wlad13 [49]

Answer:

-24

Step-by-step explanation:

goes by -5

6 0
3 years ago
Read 2 more answers
In this equation where did the number three come from if anyone can explain to me be great because I am completely confused
lianna [129]

Answer:

The multiplication of 3

Step-by-step explanation:

when you see the 3(6y+1), it basically means multiply the 3 with the 6y and the 1. Therefore, it would be 18y+3

:D

6 0
2 years ago
Read 2 more answers
Solve F=D+Drt for t.....
Anuta_ua [19.1K]

Answer:

t = \frac{-D+F}{Dr}

Step-by-step explanation:

Step 1: Flip the equation.

  • Drt + D = F

Step 2: Subtract D from both sides.

  • Drt + D - D = F - D
  • Drt = -D + F

Step 3: Divide both sides by Dr.

  • \frac{Drt}{Dr} = \frac{-D+F}{Dr}
  • t = \frac{-D+F}{Dr}

6 0
2 years ago
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