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
lutik1710 [3]
3 years ago
13

Which of the relations given by the following sets of ordered pairs is a function?

Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0

9514 1404 393

Answer:

  (a)  {(5, 2), (-4, 2), (3, 6), (0, 4), (-1, 2)}

Step-by-step explanation:

The only relation with no repeated x-values is the first one. The first relation is a function.

You might be interested in
Solve 2cos ²y -siny -1=0 for 0° ≤y≤360°
natima [27]

 

\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0

.

\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}

 

 

5 0
3 years ago
Find the value of x.
HACTEHA [7]

Answer:

what

Step-by-step explanation:

sure?

5 0
3 years ago
D FEEDBACK
In-s [12.5K]
Find a combination calculator, but in 14 and 4, choose combinations (not permutations) and you will see the number
8 0
3 years ago
The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 8 
julsineya [31]
Good afternoon, 

First side= 8cm 
Third side= x
Second side= 2x-4

We know that the sume of the lenghts of any two sides must be greater than the third side, so:

Second \,\,\,\,side+Third\,\,\,\,side>First\,\,\,\,side \\ 2x-4 + x >8 \\ 3x>12 \\ x>4


<span>Answer: Third side= x                        ;         where: x>4 or (4,+infinity)
                Second side= 2x-4              ;        </span><span> where: x>4 or (4,+infinity)</span>
3 0
3 years ago
Simplify. Rewrite the expression in the form 4^n. 4^11/4^-8
Tasya [4]

Answer:

S6tep-by-step explanation:

4^(11+8) = 4^19 is the solution

6 0
3 years ago
Other questions:
  • The volume of the cone is 130 units^3. Solve for x.<br> Height: 13<br> Radius: x
    5·1 answer
  • ABC is a straight line. which equation can be used to find the measure of the unknown angel?
    10·1 answer
  • IQR: Need help asap! 20 points! What is the interquartile range of the data set?
    7·1 answer
  • 42 inches to 54 inches
    14·1 answer
  • Which statements are true regarding the area of circle D? Select two options.
    13·1 answer
  • A ball has a radius of 1 foot. <br><br> What is the surface area of the ball?
    14·2 answers
  • One number is three less than two times another number. If the sum of the numbers is 15, find the numbers
    14·1 answer
  • Need some help please
    13·2 answers
  • 2. Find the simple interest on a $2,350 principal deposited for 15 months at a rate of 3.77%
    10·1 answer
  • How many three-digit multiples of 5 have three different digits?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!