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2 years ago

How to determine if x and y values represent a function?

Mathematics

1 answer:

SpyIntel [72]2 years ago

8 0

Answer: set up the relation as a table or ordered pairs

Step-by-step explanation: the domain has to be matched with exactly one element in the range.

You might be interested in

Find the distance between the two points (-10,3) and (0,27)

crimeas [40]

Answer:

26 units

Step-by-step explanation:

$\boxed{distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }$

Using the formula above,

distance between (-10, 3) and (0, 27)

$= \sqrt{ {( - 10 - 0)}^{2} + {(3 - 27)}^{2} }$

$= \sqrt{ {10}^{2} + ( - 24) {}^{2} }$

$= \sqrt{100 + 576}$

$= \sqrt{676}$

= 26 units

5 0

2 years ago

In last year, San Diego basketball team won 32 games, and lost 8 games. What percent of the games were won?

defon

Answer:

80%

Step-by-step explanation:

The total amount of games last year was 40.

32 + 8 = 40

question says the percent of games were won which means 32/40

In percentage, it means 80%

8 0

3 years ago

Select the correct answer from the drop-down menu. (X-2) is a factor of x4+ 2x^3-7x^2 -8x +13. The other factors are ___,___, an

ArbitrLikvidat [17]

Answer:

=x4+2x3−7x2−8x+13

Step-by-step explanation:

Let's simplify step-by-step.

x4+2x3−7x2−8x+13

There are no like terms.

Answer:

=x4+2x3−7x2−8x+13

7 0

3 years ago

Find the area and the perimeter of a triangle (shown below)<br><br> PLZZZ

OlgaM077 [116]

Answer:

A = 120, P = 55

Step-by-step explanation:

Triangle

Area = (bh)/2

A = (20x12)/2

A =240/2

A = 120

Perimeter = a + b + c

to find c, use a^2 +b^2 = c^2

20^2 + 12^2 = c^2

400 + 144 = c^2

544 = c^2

c = about 23

20 + 12 + 23 = 55

6 0

3 years ago

dimulka [17.4K]

Answer:

15) Ellen is 12 years old.

16) Don't know what value you are looking for but x=(17/4) while y=(7/4) since the set of equations is 2x-2y=5 and x+y=6.

Step-by-step explanation:

15) Ellen (E) is currently twice as old as Maria (M).

Twice means to multiply by 2.

E=2M is therefore the equation for this part of the problem.

In 6 years, Maria (M) will be 2/3 as old as Ellen (E). Keep in my Maria as aged 6 years (M+6) and Ellen as aged 6 years (E+6):

M+6=(2/3)(E+6).

So we have this system to solve:

E=2M

M+6=(2/3)(E+6).

I'm going to replace the E in the second equation with 2M since the first equation says E=2M:

M+6=(2/3)(E+6) with E=2M:

M+6=(2/3)(2M+6)

Distribute:

M+6=(4/3)M+(12/3)

Reducing 12/3 to 4:

M+6=(4/3)M+4

Subtract 4 on both sides:

M+2=(4/3)M

Subtract M on both sides:

2=(4/3)M-M

Find a common denominator:

2=(4/3)M-(3/3)M

Combine like terms:

2=(1/3)M

Multiply both sides by the reciprocal of 1/3 which is 3:

3(2)=3(1/3)M

6=1M

6=M

M=6

Maria is six years old.

Recall E=2M.

So if M=6, then E=2(6)=12.

So currently E is twice as old as M since 6(2)=12.

In six years, M will be 12 which E will be 18.

M (12) is two-thirds as old as E (18) since 12=2/3(18)

16)

2x-2y=5

x + y=6

Your question doesn't state which value it is looking for.

Anyways I'm going to solve the system for the point (x,y) and then you can decide which part of this answer to use.

I'm going to solve this system by elimination. Each equation already has the same form: ax+by=c. I just need a column with the variables to be opposite or the same.

I'm going to multiply both sides of equation 2 by 2:

2x-2y=5

2x+2y=12

Now I have opposites in a column: -2y and 2y.

When you add opposites you get 0 so this is what you want to use elimination.

We are going to add the equations now:

2x-2y=5

2x+2y=12

------------------Adding!

4x+0y=17

4x =17

Divide both sides by 4:

x =17/4

Now if x=17/4 and x+y=6, then we have that (17/4)+y=6.

Subtracting 17/4 on both sides gives us y=6-(17/4).

Finding a common denominaotr gives us y=(24/4)-(17/4).

Simplifying this gives us y=(7/4).

The point of intersection (the solution) is (17/4 , 7/4)

7 0

3 years ago