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PolarNik [594]
3 years ago
10

Find the exact solution of the equation. 7^x=8

Mathematics
1 answer:
evablogger [386]3 years ago
3 0

Answer:

log_{7}(8)

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Write the expression as a product:<br><br> 1–(2x–1)^2
postnew [5]

Answer:

1- ( { 2 x - 1)}^{2} =  4x (1  - x )

Step-by-step explanation:

We want to to rewrite

1 - ( { 2 x - 1)}^{2}

Use difference of two squares to get:

{a}^{2}  -  {b}^{2}  = (a + b)(a - b)

This implies that:

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

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

This finally simplifies to:

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

Therefore the required product is

2x (2  - 2x ) = 4x(1 - x)

3 0
3 years ago
Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27
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Answer: C: Chuy will save more than he needs and will meet his goal at the end of 27 weeks.

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440/8 = $55.

This means $55 is the amount of money Chuy saves every week.

Multiply $55 by the number of weeks Chuy plans to save money, 27.

55 x 27 = 1,485.

Since the television costs $1,350 dollars, Chuy will save more than he needs and will meet his goal in less than 27 weeks.

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How many times Kevin's savings are al's savings is 30 more
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