1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lorasvet [3.4K]
3 years ago
10

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

lution set. arrowRight arrowRight arrowRight arrowRight

Mathematics
2 answers:
Anon25 [30]3 years ago
8 0

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 .

katrin [286]3 years ago
5 0

Answer:

9 ± √33 /4                        =                       2x² - 9x + 6.

4 ± √6 /2                          =                    2x² - 8x + 5.

9 ± √89 /4                         =                   2x² - 9x - 1.

4 ± √22 /2                       =                     2x² - 8x - 3.

Step-by-step explanation:

You might be interested in
Marsha deposited ​$5,000 into a savings account 2 years ago. The simple interest rate is 3​%. How much money did Marsha earn in​
NARA [144]

Answer:

$300

Step-by-step explanation:

(5000)(2)(3/100)

=300

7 0
3 years ago
A blank is a rectangular ​
UNO [17]

Answer:

I would say parallelogram. So the rectangle still fits but more shapes can be applied.

8 0
3 years ago
Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population
eimsori [14]

Answer:

Yes, The analysis involves a statistical test.

The hypothesis are H_0: \mu_R = \mu_L,\ and\ H_A: \mu_R < u_L

Step-by-step explanation:

Consider the provided information.

Testing 500 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.

Yes, The above analysis involves a statistical test.

Where claim is right hand reacts faster than the left hand.

If right hand reacts faster that means the reaction time of right hand should be smaller than the reaction time of left hand.

Let \mu_R to be the average reaction time of their right hands for the right-handed participants and \mu_L to be the average reaction time of their left hands.

Therefore, the hypothesis are H_0: \mu_R = \mu_L,\ and\ H_A: \mu_R < u_L

3 0
3 years ago
PLEASE HELP ASAP
Shtirlitz [24]

Answer:

i think its photosinthisis because...

Step-by-step explanation:

Sometime around 3 billion years ago (about 1.5 billion years after Earth formed!), photosynthesis began. Photosynthesis allowed organisms to use sunlight and inorganic molecules, such as carbon dioxide and water, to create chemical energy that they could use for food.

Hope this helps and maybe a brainlest?

8 0
3 years ago
For non zero X and Y if X + Y = 0 then​
S_A_V [24]
Either X or Y is negative. One has to be
7 0
3 years ago
Other questions:
  • I need help on 39. You have to find the area of the polynomial
    8·1 answer
  • If the length of a rectangle is x + 4 and the width of the rectangle is 2x + 9 what would the perimeter of the rectangle be? be
    10·1 answer
  • My number has a tens digit that is 8 more than the ones digit. zero is not one of my digits
    6·1 answer
  • What conversion factor you can use to convert gallons to pints
    5·1 answer
  • A TV is advertised on sale for 35% off, and is now $195.00. What was the original price.
    9·1 answer
  • Jackie made $28 babysitting last week. Her brother Joe made only 86% as much as she did. How much did joe make?
    10·2 answers
  • Which division problem does the number line below best illustrate? A number line going from 0 to 13. An arrow jumps from 0 to 3,
    14·2 answers
  • You are looking at the top of a building and thinking it would be great to make a zipline from the top to your current location.
    13·2 answers
  • 2. Which is greater?
    11·1 answer
  • What is the smallest whole number that can be multiplied by 300 such that the product is a perfect cube?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!