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3 years ago

Solving a quadratic equation by completing the square. De

Mathematics

1 answer:

postnew [5]3 years ago

8 0

Answer:

x1, x2 = 7.73 , 4.27

Step-by-step explanation:

To find the roots of a quadratic function we have to use the bhaskara formula

ax^2 + bx + c

x^2 - 12x + 33

a = 1 b = -12 c = 33

x1 = (-b + √ b^2 - 4ac)/2a

x2 =(-b - √ b^2 - 4ac)/2a

x1 = (12 + √(-12^2 - (4 * 1 * 33))) / 2 * 1

x1 = (12 + √(144 - 132)) / 2

x1 = (12 + √12) / 2

x1 = (12 + 3.46) / 2

x1 = 15.46 / 2

x1 = 7.73

x2 = (12 - √(-12^2 - (4 * 1 * 33))) / 2 * 1

x2 = (12 - √(144 - 132)) / 2

x2 = (12 - √12) / 2

x2 = (12 - 3.46) / 2

x2 = 8.54 / 2

x2 = 4.27

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You spend $4.50 on 5 pounds of apples. What is the unit rate in dollars per pound?

vredina [299]

Answer:

$0.90 per pound.

Step-by-step explanation:

4.50:5

5/5=1

4.50/5=0.90

5 0

3 years ago

Read 2 more answers

2. After the relay race, Larry, Curly, and Moe went to the

jarptica [38.1K]

Using proportions, it is found that each of the 6 people got $0.5.

<h3>Proportions:</h3>

This question is solved by <em>proportions</em>, using a rule of three.

$3.00 is shared between 6 people, which are Larry, Curly, Moe, Alvin, Simon and Theodore. How much did each people(1 person) get?

The <em>rule of three</em> is:

$3.00 - 6 people

$x - 1 person

Applying cross multiplication:

$6x = 3$

$x = \frac{3}{6}$

$x = 0.5$

Each of the 6 people got $0.5.

To learn more about proportions, you can take a look at brainly.com/question/24372153

7 0

2 years ago

Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have

salantis [7]

Let

x--------> the number of blue beads

y--------> the number of red beads

we know that

$x+y=49$

$x=49-y$ -------> equation $1$

$x=6y$ ------> equation $2$

equate equation $1$ and equation $2$

$49-y=6y\\ 6y+y=49\\ 7y=49\\\\ y=\frac{49}{7} \\ \\ y=7$

find the value of x

$x=6*7\\ x=42$

therefore

the answer is

Ivan has $42$ $blue beads$

3 0

3 years ago

Read 2 more answers

Evaluate 48/6-10/3 please and thank you :)))

vodomira [7]

Answer:

14/3

Step-by-step explanation:

Simplify the following:

48/6 - 10/3

Hint: | Reduce 48/6 to lowest terms. Start by finding the GCD of 48 and 6.

The gcd of 48 and 6 is 6, so 48/6 = (6×8)/(6×1) = 6/6×8 = 8:

8 - 10/3

Hint: | Put the fractions in 8 - 10/3 over a common denominator.

Put 8 - 10/3 over the common denominator 3. 8 - 10/3 = (3×8)/3 - 10/3:

(3×8)/3 - 10/3

Hint: | Multiply 3 and 8 together.

3×8 = 24:

24/3 - 10/3

Hint: | Subtract the fractions over a common denominator to a single fraction.

24/3 - 10/3 = (24 - 10)/3:

(24 - 10)/3

Hint: | Subtract 10 from 24.

| 2 | 4

- | 1 | 0

| 1 | 4:

Answer: 14/3

5 0

3 years ago

Simplify the following :

dlinn [17]

Answer:

1. 95/96

2. 27/7

3. -8/245

Explanation:

1. First add together the two fractions 3/4 + 5/6. Find the least common denominator. In this case we can use 12. The 3/4 changes to 9/12 and the 5/6 changes to 10/12. adding these together we get 19/12. Next we divide 8/5 by 19/12. We use the keep, change, flip method to change the divide to multiply. keep the first fraction, change divide into multiply, and then take the reciprocal of the second fraction. You will now do 5/8 x 19/12. We now get 95/96 (I made a mistake in the answers the first time because I was rushing)

2. Divide the 3/2 and the 8/9 first. I will use the KCF (keep, change, flip) method to divide. 3/2 x 9/8 = 27/16 Now we divide the 7/16. After using KCF we can simplify and cross cancel (simplfy after changing the fraction and signs) 27/16 x 16/7 --> 27/1 x 1/7 The answer will come out to be 27/7

3. since there are no parentheses divide first. Use KCF and after you get the answer multiply (it is the same using negative numbers just watch out for signs)

7 0

3 years ago