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balandron [24]
3 years ago
9

The difference of the square of a number and three times the sum of the number and 7 is more than the product of that number and

15.
Select the inequality that can be used to determine the unknown number.

A.) x2 + 3x ≥ 15 + x

B.) x2 - 3x + 7 ≥ 15x

C.) x2 - 3x - 21 > 15x

D.) x2 - 3x + 21 > 15 + x
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0

Answer:

x2 - 3(x + 7) > 15x

x2 - 3x - 21 > 15x

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Can you please help me out?
larisa86 [58]

Answer:

- 3.5229

Step-by-step explanation:

Using the rules of logarithms

logx + logy = log(xy)

log_{10} 10^{n} = n

Given

log_{10} 3 ≈ 0.4771, then

log_{10} 0.0003

= log_{10} (3 × 10^{-4} )

= log_{10} 3 + log_{10} 10^{-4}

≈ 0.4771 - 4

≈ - 3.5229 ( to 4 dec. places )

8 0
3 years ago
What is i^84? a) -i b) i c) -1 d) 1
mariarad [96]

Answer:

D) 1

Step-by-step explanation:

When you start raising i to certain powers, you begin to notice a pattern.

i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!

7 0
3 years ago
Factorise completely:<br> 1. 3xy - x<br>2. 4a² - 9​
Amanda [17]

Answer:

x(3y - 1) and (2a - 3)(2a + 3)

Step-by-step explanation:

(1)

3xy - x ← factor out x from each term

= x(3y - 1)

(2)

4a² - 9 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4a² - 9

= (2a)² - 3²

= (2a - 3)(2a + 3)

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Step-by-step explanation:

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2 years ago
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8 0
3 years ago
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