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VARVARA [1.3K]
3 years ago
10

Rewrite the equation by completing the square. f (x) = x^2 + 20x - 86

Mathematics
1 answer:
9966 [12]3 years ago
7 0

Answer:

f(x) = (x+10)^2 - 86

Step-by-step explanation:

  1. f(x) = x^2 + 20x - 86
  2. f(x) = x^2 + 20x + 100 - 86 (because (20/2)^2 = 100)
  3. f(x) = (x+10)^2 - 86

Completing the square means you do (b/2)^2 where b is: a^2x + bx + c.

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3 1/2 - 4 2/5<br> how do i do this?
Nadusha1986 [10]

Answer:

Ok so first you would have to turn them into improper fractions which is

3 \frac{1}{2\\} = \frac{7}{2} and 4 \frac{2}{5} = \frac{22}{5}

So now that you have made them both improper fractions you have to find common denominators.

To find common denominators you must multiply both the numerator and the denominator by the same thing. Since your oposing fraction has a denominator of 5 you can know that a even number wont go in an odd number so take \frac{22}{5} and mutiply both numbers by 2 and get \frac{44}{10}. Then mutiply both numbers in \frac{7}{2} by 5 to get a common denominator.

\frac{35}{10}

\frac{35}{10} - \frac{44}{10} =35 - 44 = -9 so your answer is -\frac{9}{10}

Step-by-step explanation:

5 0
3 years ago
if one in every 10 pieces of fruit is a currant and two in every five is a cherry what proportion are raisins
Viktor [21]
1/10 currant
2/5 is cherry × 2 to get it out of 10
so 4/10 (cherry) + 1/10 (currant) = 5/10 so 5 raisins
8 0
3 years ago
N - 1/8 = 3/8<br> I am no smort and i forgot to study for a test =|
sdas [7]

Answer:

  • \boxed{\sf{n=\dfrac{1}{2}=0.5 }}

Step-by-step explanation:

Isolate the term of n from one side of the equation.

<h3>n-1/8=3/8</h3>

<u>First, add by 1/8 from both sides.</u>

n-1/8+1/8=3/8+1/8

<u>Solve.</u>

<u>Add the numbers from left to right.</u>

3/8+1/8=4/8

<u>Common factor of 4.</u>

4/4=1

8/4=2

<u>Rewrite as a fraction.</u>

=1/2

n=1/2

<u>Divide is another option.</u>

1/2=0.5

n=1/2=0.5

  • <u>Therefore, the final answer is n=1/2=0.5.</u>

I hope this helps you! Let me know if my answer is wrong or not.

3 0
2 years ago
Which product is negative
Romashka [77]
One thing for sure it is not b,d,c its a

7 0
3 years ago
Read 2 more answers
Find two consecutive integers such that four times the larger exceeds three times the smaller by 23
Bad White [126]
CONSECUTIVE NUMBERS; x, x+1
(x+1)4=3(x)+23
4x+4=3x+23
4x-3x=23-4
x=19
x+1=20
THEREFORE  the consecutive numbers are 19&20
3 0
3 years ago
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