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Alex17521 [72]
3 years ago
15

Order the following numbers from least to greatest. 0.303, 0.3, 0.033, and 0.33

Mathematics
1 answer:
nlexa [21]3 years ago
3 0

Answer:

0.033, 0.3, 0.303, 0.33

Step-by-step explanation:

0.033

0.3 = 0.300

0.303

0.33 = 0.330

if you ignore the 0. then it is like working with whole numbers :)

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Solve each quadratic equation by completing the square. Give exact answers--no decimals.
Sholpan [36]

Answer:

x_1 = -2 + 2i\\\\x_2 = -2 -2i

Step-by-step explanation:

In this problem we have the equation of the following quadratic equation and we want to solve it using the method of square completion:

7x ^ 2 + 28x +56 = 0

The steps are shown below:

For any equation of the form: ax ^ 2 + bx + c = 0

1. If the coefficient a is different from 1, then take a as a common factor.

In this case a = 7. Then:

7(x ^ 2 + 4x) = -56

2. Take the coefficient b that accompanies the variable x. In this case the coefficient is 4. Then, divide by 2 and the result squared it.

We have:

\frac{4}{2} = 2\\\\(\frac{4}{2})^2 = 4

3. Add the term obtained in the previous step on both sides of equality, remember to multiply by the common factor a = 7:

7(x ^ 2 + 4x + 4) = -56 + 7(4)

4. Factor the resulting expression, and you will get:

7(x + 2) ^ 2 = -28

Now solve the equation:

Note that the term 7(x + 2) ^ 2 is always > 0 therefore it can not be equal to -28.

The equation has no solution in real numbers.

In the same way we can find the complex roots:

7(x+2)^2 = -28\\\\(x+2)^2 = -\frac{28}{7}\\\\x+2 = \sqrt{-\frac{28}{7}}\\\\x = -2 + \sqrt{-4}\\\\x = -2 + 2\sqrt{-1}\\\\x_1 = -2 + 2i\\\\x_2 = -2 -2i

4 0
4 years ago
Read 2 more answers
If the bus is on time to the school 90% of the time, how many days can the school expect the bus on time out of 160 days?
andre [41]

Answer:

144 days

Step-by-step explanation:

160 · 0.9

5 0
3 years ago
Need help ASAP please
maksim [4K]

Answer:

i think its A im not sure

Step-by-step explanation:

7 0
3 years ago
The function f(x) is show on the graph. What is f(0)?
dexar [7]

Answer:

x = 0

Step-by-step explanation:

the origin

6 0
3 years ago
In the 2004 season, Seattle's Lauren Jackson was ranked first in the WNBA for total points and points per game. She scored 634 p
Sonja [21]

Using a system of equations, it is found that she made:

  • 141 free throws.
  • 168 two-point field goals.
  • 53 three-point field goals.

For the system, we have that:

  • x is the number of free throws made.
  • y is the number of two-point field goals made.
  • z is the number of three-point field goals made.

She made 362 shots, hence:

x + y + z = 362

She scored 636 points, hence:

x + 2y + 3z = 636

  • Observation: I used 636 as there would not be a solution(number of field goals cannot be a fraction) if 634 was used.

She made 27 more 2-point field goals than free throws, hence:

y = x + 27

Then:

x + y + z = 362

x + x + 27 + z = 362

2x + z = 335

z = 335 - 2x

x + 2y + 3z = 636

x + 2(x + 27) + 3z = 634

3x + 3z = 582

x + z = 194

z = 194 - x

Equaling both equations for z, finding x:

335 - 2x = 194 - x

x = 141

Then, to find y and z:

y = x + 27 = 141 + 27 = 168

z = 194 - x = 194 - 141 = 53

She made:

  • 141 free throws.
  • 168 two-point field goals.
  • 53 three-point field goals.

You can learn more about system of equations at brainly.com/question/25960609

8 0
3 years ago
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