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Montano1993 [528]

2 years ago

14

Samuel, a county social worker, helps county residents who are struggling with different issues. He uses “c” to indicate client

hours and “o” to indicate other work in his time log. Samuel logs the following hours for the week:
Monday: 6 c, 4 o
Tuesday: 8 c, 2 o
Wednesday: 9 c, 1 o
Thursday: 7 c, 3 o
Friday: Off

What percent of his time did Samuel spend with clients on Thursday?

1 answer:

Nadya [2.5K]2 years ago

3 0

Answer:

70%

Step-by-step explanation:

Out of 7+3 = 10 total hours Samuel logged on Thursday, 7 were spent with clients. The fraction of hours spent with clients was ...

client hours / total hours = 7/10

Multiplying by 100% converts that to a percentage:

Thursday client time = 7/10 × 100% = 70%

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Answer:

a. $(x - 3)^2 + 16$

b. $8(x -7)^2$

c. $(a^2 - 1)(7x - 6)$ or $(a+1)(a-1)(7x-6)$

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Step-by-step explanation:

$a.\ (x + 1)^2 - 8(x - 1) + 16$

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$(x + 1)(x + 1) - 8(x - 1) + 16$

Open brackets

$x^2 + x + x + 1 - 8x + 8 + 16$

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Collect Like Terms

$x^2 + 2x - 8x+ 1 + 24$

$x^2 - 6x+ 25$

Express 25 as 9 + 16

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Factorize:

$x^2 - 3x - 3x + 9 + 16$

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Expand

$8(x - 3)(x - 3) - 64(x-3) + 128$

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Open Brackets

$8x^2 - 48x+ 72 - 64x+192 + 128$

Collect Like Terms

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Factorize

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Expand the expression in bracket

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Factorize:

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Factorize

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The answer can be in this form of further expanded as follows:

$(a^2 - 1^2)(7x - 6)$

Apply difference of two squares

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Express $x^4$ as $x^2$

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The answer can be in this form of further expanded as follows:

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Apply difference of two squares

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