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sweet [91]
3 years ago
10

What constant term should be added to both sides to complete the square on the left side?

Mathematics
1 answer:
grandymaker [24]3 years ago
6 0

Answer:

  • 9/64

Step-by-step explanation:

<u>Given</u>

  • x² - 3/4x + _____ = 10

Need to complete square on the left side of equation

<u>The square should be in the form of:</u>

  • (a + b)² = a² + 2ab + b²

<u>We see a = x therefore </u>

  • 2b = -3/4, so
  • b = -3/8 and
  • b² = (-3/8)² = 9/64

So the missing constant term is 9/64

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Craig likes to collect vinyl records. Last year he had 10 records in his collection. Now he has 12 records. What is the percent
navik [9.2K]

Answer:

Craig's collection increased by 20%.

Step-by-step explanation:

Original amount: 10

New amount: 12

To find the percent increase, we first need to find how much Craig's record collection increased by. To do this, subtract the old amount from the new amount:

12 - 10 = 2

The amount his collection increased by is 2. To find the per cent increase, divide 2 by the original amount of records:

\frac{2}{10}=\frac{1}{5}= 0.20

Convert the decimal into a percentage:

0.20 * 100 = 20%

The percent increase of Craig's record collection is 20%.

8 0
3 years ago
A=6b solve for b please​
Papessa [141]

Answer:

b = a divided by 6

Step-by-step explanation:

Since a is equal to b times 6, you would have to divide a by 6 to find b

7 0
3 years ago
It takes 40 minutes for 8 people to paint 4 walls.
elena-s [515]
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6 0
3 years ago
Read 2 more answers
Determine whether the following statement is true or false.
fenix001 [56]

Answer:

Step-by-step explanation:

No it doesn't. When you get stuck on a question like this one, you should go to Desmos and graph the equation. I've done that for you.

Correctly stated the equation should read f(x) = (x + 2)^2 + 4

As you can see from the graph the vertex is at -2,4. To find the x value of the vertex, create a small equation

x + 2 = 0

x = - 2

That will turn what is inside the brackets into 0. The value for x is always what will turn (x + a) to zero.

3 0
3 years ago
What is the solution of (2/x-1)&gt;(7/x+1)
Rudiy27
(2 / x-1)> (7 / x + 1)
 For this case we can solve the problem graphically.
 The solution will be the shaded region.
 Note: see attached image.
 Answer:
 The solution is given by:1 <x <9/5

8 0
4 years ago
Read 2 more answers
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