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
denis-greek [22]
3 years ago
8

Which set of ordered pairs represent y as a function of x?

Mathematics
2 answers:
Yakvenalex [24]3 years ago
8 0

Answer with Explanation:

To qualify as a function, each x value may not have more than 1 Y value.

This rules out A, B, and D.

<u><em>The answer is C.</em></u>

<u><em /></u>

Why is A incorrect? -5 (the x value) has more than one y value so it is wrong.

Why is B incorrect? 9 (the x value) has more than one y value so it is wrong.

Why is D incorrect? -7 (the x value) has more than one y value so it is wrong.

You can also use the vertical line test to graph these pairs. Then, test by drawing a vertical line through the graph. If the vertical line goes through more than 1 pair, it is not a function.

FinnZ [79.3K]3 years ago
5 0

Answer:

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 .

Step-by-step explanation:

You might be interested in
Determine if the rates are equivalent. Explain your reasoning. 5 cans of soup for $3.75; 8 cans of soup for $6.00
grandymaker [24]

I don't think they are equivalent. try it yourself


3 0
3 years ago
HELP ME PLS I NEED TO PASS THIS TEST OR I FAIL 8TH GRADE
SVETLANKA909090 [29]
<span>----
Solve for "x":
x + 4y = 24
x + 16 = 24
x = 8
-----------------
Solution: (8,4)</span>
7 0
3 years ago
Find the area of the shape below. All measurements are in miles.
IrinaK [193]
731.04!! You multiply all together!! Mark me brainliest ?
6 0
2 years ago
PLS HELP .........................
Otrada [13]

Answer:

I believe the answer is C :)

Step-by-step explanation:

5 0
3 years ago
Rewrite this expression using the distributive property.<br> (3x2 + 4x-7)(x-2)
RideAnS [48]

Answer:

D

Step-by-step explanation:

Each factor on the right has to be multiplied by the equation on the left and then you add them.

6 0
2 years ago
Other questions:
  • assume that Congress has approved a new tax to fund scientific research to find alternative fuel sources. everyone will pay $200
    7·1 answer
  • Heather wants to increase the time she jogs each week by 6 minutes. she is already able to jog for 10 minutes. the time heather
    5·1 answer
  • 29. A school requires students to wear
    13·1 answer
  • 0.22/m = 0.05/3.7 please could you answer
    15·2 answers
  • HELP ASAP!!! you have 12 pennies in your pocket. Of those pennies, 3 are Canadian. suppose you pick a penny out of your pocket a
    12·1 answer
  • Simplify the fraction 4t ^ 2 - 16 ÷8 ÷ t - 2 ÷6
    12·1 answer
  • How many triangles can be made if one angle is 95° and another angle is acute? 1 2 More than 2 None
    13·1 answer
  • Algebra 1 unit 4 test
    13·2 answers
  • (1.2)Consider the diagram below. Identify a point.
    7·1 answer
  • Please use the pic thanks
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!