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mr Goodwill [35]
3 years ago
7

Identify the domain of the function shown in the graph.

Mathematics
1 answer:
vekshin13 years ago
7 0

Answer:

B.x>-1

Step-by-step explanation:

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each quadratic equation with its so
Anon25 [30]

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

  • Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
  • We have to solve all of the five equations to be able to match the equations with their solutions.
  • 2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.
  • 2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
  • 2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.
  • 2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.
  • 2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

8 0
2 years ago
Read 2 more answers
1. What is the volume, in cubic centimeters, of the sphere shown below? Use 3.14<br> for Pi
prohojiy [21]

Answer:

113.04 cm³

Step-by-step explanation:

diameter = 6cm

so radius = 3cm

Volume of sphere = \frac{4}3}\pi r^3

= 4 * 3.14 * 3 * 3 *3 / 3

=  4 * 28.26

= 113.04 cm³

6 0
2 years ago
It takes 3 2/6 spoons of chocolate syrup to make 3 1/2 gallons of chocolate milk. How many spoons of syrup would it take to make
Anit [1.1K]

Answer: 4 gallons require 5 5/39 spoons of syrup

Step-by-step explanation:

7 0
2 years ago
Please help will mark Brainly
SVETLANKA909090 [29]

Answer: C

Step-by-step explanation:

We are given the information that:

  1. The airplane is at 50,000 feet
  2. It descends 2,500 feet in 1 minute
  3. x = minutes

For  ease of solving this question, let's set the number of minutes (x) to 1.

  • In one minute, we know the plane will drop to 47,500 feet. (50,000 - 2,500(x))

There are multiple ways to write this equation bu shifting around negative and positive values. Another way to write this equation would be (-2,500(x) + 50,000). That would be choice C.

Try it out~

(-2,500(x) + 50,000)\\ (-2,500(1) + 50,000)\\ (-2,500 + 50,000)\\47,500

It works, so our answer is C.

5 0
3 years ago
Find the Unit Rate: juan walks 6 miles in 3 hours.
timama [110]

Answer: Juan walks 3 miles in 1 hour.

Step-by-step explanation:

3 mi/ 1 hr is the unit rate because you are supposed to turn it into a fraction and simplify it.

6 0
2 years ago
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