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Alenkinab [10]
3 years ago
12

Rewrite the function by completing the square f(x)=x^2-14x+63

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
8 0

Answer:

f(x) = (x - 7)² - 14

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Vertex Form: f(x) = a(bx - c)² + d
  • Completing the Square: (b/2)²

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x² - 14x + 63

<u>Step 2: Rewrite</u>

  1. Separate:                              f(x) = (x² - 14x) + 63
  2. Complete the Square:         f(x) = (x² - 14x + 49) + 63 - 49
  3. Simplify:                                f(x) = (x - 7)² - 14
anastassius [24]3 years ago
6 0

Answer:

-7 and 14 on khan

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A rectangular Corn Hole area at the Recreation Center has a width of 5 feet and a length of 10 feet. If
lbvjy [14]

Answer:

2ft

Step-by-step explanation:

5 x 10=50

7 x 12= 84

5+2=7 and 10+2=12

3 0
3 years ago
The sum of the first three terms of an arithmetic sequence is 108, and the sum of the next three terms is 183. what is the value
qaws [65]
The key is to find the first term a(1) and the difference d.

in an arithmetic sequence, the nth term is the first term +(n-1)d
the firs three terms: a(1), a(1)+d, a(1)+2d
the next three terms: a(1)+3d, a(1)+4d, a(1)+5d,
a(1) + a(1)+d +a(1)+2d=108
a(1)+3d + a(1)+4d + a(1)+5d=183

subtract the first equation from the second equation: 9d=75, d=75/9=25/3
Plug d=25/3 in the first equation to find a(1): a(1)=83/3

the 11th term is: a(1)+(25/3)(11-1)=83/3 +250/3=111

Please double check my calculation. <span />
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3 years ago
There are 12 boys and 14 girls in a class. One of the students is selected at random to represent the class at student council.
Tema [17]

Answer:

Step-by-step explanation:

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3 years ago
The polynomial x^3+ px^2-x-2 has x-1 as a factor. what is the value of p?
Archy [21]
Comparing x-1 with x-a then x=1
1^3+p*1^2-1-2=0
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5 0
2 years ago
Please help out explanation need it will
blsea [12.9K]
You just have to divide all of it and then round it to the nearest tenths if u need too .
4 0
3 years ago
Read 2 more answers
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