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AlexFokin [52]
3 years ago
11

Help me do the ones marked in red.

Mathematics
1 answer:
Dmitrij [34]3 years ago
8 0

Answer:

  2. "two thirds of the fourth power of <em>r</em>"

  4.  n + 14

  6.  7 +11n

  8.  (2/5)n^2

__

  7.  28

  8.  1/5

Step-by-step explanation:

2. "two thirds of the fourth power of <em>r</em>"

__

4. "sum" means the listed items are added. You can use any convenient variable to represent "a number." I often use <em>n</em> for <em>n</em><em>umber</em>.

  n + 14

__

6. "7 more than" means 7 is added to whatever follows. "11 times a number" means the number is multiplied by 11.

  7 + 11n

__

8. "of" means "times". The square of a number is that number to the power of 2.

  (2/5)n^2

__

7 & 8 (evaluation). Your calculator can do this. (If not, get one that can.) Note that parentheses are needed around numerators and denominators and anything else that must be treated as a single value.

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Answer:

<h2><em><u>n</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>7</u></em></h2>

Step-by-step explanation:

4(n-1)+2 = -23 +7n

=> 4n - 4 + 2 = - 23 + 7n

=> 23 - 4 + 2 = 7n - 4n

=> 21 = 3n

=  > n =  \frac{21}{3}

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What equation results from completing the square and then factoring? x^2+24x=33
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Answer:

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7 0
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(3.07A MC)
Nadusha1986 [10]

Answer:

  • (3, 4) is the solution to both lines A and B.

Step-by-step explanation:

<u>Given</u>

  • Line A with points (2, 6) and (5, 0)
  • Line B with points (0, 2) and (6, 6)

<u>Lets get the equations for both lines</u>

Line A

  • y = mx + b
  • m = (0 - 6)/( 5 - 2) = -2
  • 6 = 2*(-2) + b ⇒ b = 6+ 4 = 10
  • y = - 2x + 10

Line B

  • m = (6 - 2)/( 6 - 0) = 4/6 = 2/3
  • b = 2 as per point (0, 2)
  • y = 2/3x + 2

<u>We got two equations:</u>

  • y = -2x + 10
  • y = 2/3x + 2

<u>Solving the system:</u>

  • -2x + 10 = 2/3x + 2
  • 8/3x = 8
  • x = 3 ⇒ y = 4
  • (3, 4)

<u>Verifying answer options</u>

  • (3, 4) is the solution to both lines A and B. YES
  • (3, 4) is the solution to line A but not to line B.  NO
  • (0, 2) is the solution to both lines A and B.  NO
  • (0, 2) is the solution to line A but not to line B. NO
7 0
3 years ago
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