MATHEMATICS MIDDLE SCHOOL

Solve x^2 - 9x + 3 = 0

Answers

Answer 1

Answer:

A quadratic equation is a second-order polynomial equation in a single variable x

The value of x for the quadraticequation x² - 9x + 3 is

x = (9 + √69) / 2

x = (9 - √69) / 2

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x as:

ax² + bx + c = 0. with a ≠ 0.

We have,

x² - 9x + 3 = 0

We will use the determinant formula to find the value of x.

The formula is given by:

x = [-b ± √(b² - 4ac)] / 2a

We have,

x² - 9x + 3 = 0

It is in the form of ax² + bx + c = 0

a = 1, b = -9 and x = 3

Now putting a, b, and c values in the formula we get,

x = [- (-9) ± √ ( (-9)² - 4 x 1 x 3 )] / 2 x 1

x = [ 9 ± √ (81 - 12) ] / 2

x = (9 ± √69) / 2

x = (9 + √69) / 2 or (9 - √69) / 2

Thus the value of x for the quadratic equation x² - 9x + 3 is

x = (9 + √69) / 2

x = (9 - √69) / 2

Learn more about quadraticequations here:

brainly.com/question/17177510

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Answer 2

Answer: The answer is: x = 9 + sqrt69 / 2, x = 9 - sqrt69 / 2

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Soup cost $10 for 3 cans. Josh spent $40 on soup. How many cans did he buy?

Answers

he bought 12 cans:) because if 3 cans are 10$ and he spent 40$ just multiply 4 (the 40 dollars)times 3 (the amount of cans you get per 10 dollars).Hope this helped!

Write the name of each angle arm
A to O to C

Answers

Answer:

∠AOC

Step-by-step explanation:

The statement "A to O to C" is talking about each of the points that form an angle. Each point is given a letter as its name.

The symbol ∠means angle.

You need two lines to form an angle, and you need two points to form a line. By reusing one of the points, you need three points to form an angle. The point that is being reused is always the point in the middle, in this case, that point is called 'O'.

5 • [(14 + 3 • 30) + 120] + 1000 – 10

Answers

5*(104+120) +1000-10
5*224+1000-10
1120+1000-10
2120-10
2110

5*[(14+3*30)+120]+1000-10
5*[(104)+120]+1000-10
5*[(224]+1000-10
5*224+1000-10
1120+1000-10
2120-10
2110

Find the value of 3^(-3) x 10^(-3)

Answers

Answer:

3,703 x 10^(-5)

Step-by-step explanation:

3^(-3)= 0,03703

10^(-3)= 0,001

0,03703 x 0,001= 3.703 x 10^(-5)

Jari invests in a CD with an annual interest rate of 5.45% compounded quarterly. How many years will it take for Jari's investment to double. Round your answer 4 decimal places and include a label (written in lowercase)

Answers

It will take 12.8047 years for Jari's investment to double

Step-by-step explanation:

The formula for compound interest, including principal sum is

$A=P(1+(r)/(n))^(nt)$ , where:

A is the future value of the investment/loan, including interest
P is the principal investment amount (the initial deposit or loan amount)
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

Jari invests in a CD with an annual interest rate of 5.45% compounded quarterly. We need to find how many years it will take for Jari's investment to double.

∵ The annual interest rate is 5.45%

∴ r = 5.45% = 5.45 ÷ 100 = 0.0545

∵ The interest rate is compounded quarterly

∴ n = 4

∵ The Jari's investment is doubled in t years

∴ A = 2P

- Substitute these values in the rule above

∵ $2P=P(1+(0.0545)/(4))^(4t)$

- Divide both sides by P

∴ $2=(1+(0.0545)/(4))^(4t)$

∴ $2=(1+0.013625)^(4t)$

∴ $2=(1.013625)^(4t)$

- Insert ㏒ to both sides

∴ $log(2)=log[(1.013625)^(4t)]$

- Remember $log(a)^(n)=nlog(a)$

∴ ㏒(2) = 4t ㏒(1.013625)

- Divide both sides by 4 ㏒(1.013625) to find t

∴ t = 12.8047 years

It will take 12.8047 years for Jari's investment to double

Learn more;

You can learn more about compound interest in brainly.com/question/4361464

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Which statement about the ordered pairs (-9, 3) and (2, - 4) is true for the equation6x - y/2 = 14?
•
(-9, 3) is a solution to the equation.
(2, - 4) is a solution to the equation.
Neither ordered pair is a solution.
Both ordered pairs are solutions.