Which set of ordered pairs represent y as a function of x?
a) {(-5,3) (6,2) (8,-9) (-5,4)}
b) {(9,4) (8,4) (9,5) (8,5)}
c) {(6,8) (7,8) (8,8) (9,9)}
d) {(-7,4) (-7,5) (-7,10) (-7,6)}

Which Set Of Ordered Pairs Represent Y As A Function Of X?a) {(-5,3) (6,2) (8,-9) (-5,4)}b) {(9,4) (8,4)

Answers

Answer 1

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:

Answer 2

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.

The answer is C.

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.


Related Questions

The diagram shows the position
of three towns represented by
letters A, B and C.
NA
B is 7 km from A on a bearing of 037°
C is 8 km from B on a bearing of 140°
Find the bearing of C from A.
Give your answer correct to 1 decimal place.

Answers

Answer:

Step-by-step explanation:

143º I’m not sure

The bearing of town C from town A is 93.3 degree if the B is 7 km from A on a bearing of 037° C is 8 km from B on a bearing of 140°

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

If we extend the line NA and NB

As we can see, line NA and NB are parallel and cut by transversal AB

The angle NBA and BAN' will be equal.

Angle BAN' = 180 - 37 = 143 degree = angle NBA

Angle CBA = 360 - 140 - 143

Angle CBA = 77 degree

Now, applying cos law:

b² = a² + c² - 2ac[cos B]

b² = (8)² + (7)² - 2(8 x 7 x cos77)

b = 9.37 km

To find the measure of the angle A applying sin law:

(sinA)/a = (sinB)/b

sinA = (axsinB)/b

sinA = (8xsin77)/9.37

A = 56.3⁰

Bearing of town C from town A:

α = A + 37⁰

α = 56.3⁰ + 37⁰

α = 93.3⁰

Thus, the bearing of town C from town A is 93.3 degree if the B is 7 km from A on a bearing of 037° C is 8 km from B on a bearing of 140°

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

8(__+__)=8m+8n Please help, ​

Answers

It’s 8 (m+n) = 8m + 8n

Answer: m and n

8(m+n)= 8m + 8n

A runner runs at an average speed of 9 m/s for 20 seconds
How far did the runner run in metres?​

Answers

Answer:

The answer would be 180 meters.

Step-by-step explanation:

We are told the runner runs at 9 m/s for 20 seconds.

Since they run 9 meters per second, all we have to do is multiply 9 by 20, which will give us 180 meters.

9 x 20 = 180

If , then what is mto the nearest degree?

Answers

Answer:

70 degrees

Step-by-step explanation:

If cosm<A = 342/1000, we are to find the value of a

Take arccos of both sides

cosm<A = 342/1000

cosm<A = .342

arccos(cosm<A) = arccos(0.342)

m<A = arccos(0.342)

m<A = 70 degrees

Hence the measure of m<A is 70 degrees

x + y = -6 The slope is and the y-intercept is​

Answers

The y intercept is at -6

The circumference of a circle is 9.31cm. Find the length of the diameter. Give your answer rounded to 2 DP.

Answers

Answer:

2.96cm

Step-by-step explanation:

C= 2x Pi x Radius

9.31 = 2 x Pi x Radius

9.31/2 = Pi x Radius

4.655 = Pi x Radius

4.655/3.14 = Radius

1.4824840764331210191082802547771 = Radius

Now, that you have worked out the radius which is half the diameter

Radius + Radius = Diameter

1.4824840764331210191082802547771 + 1.4824840764331210191082802547771         = 2.964968153

                                                                               = 2.96cm to 2 d.p

You can double check because C= 2 x Pi x Radius

                                                      9.31 = 2 x 3.14 x 1.482

Gloria rides a bike 8 miles in 40 minutes. Nanette rides a bike 5 miles in 30 minutes. Who bikes faster? Explain.

Answers

Answer:

Nanette

Step-by-step explanation:

Nanette.

Gloria's rate = 40/8 = 5mph

Nanette's rate = 30/5 = 6mph

Hope that helps!

Answer:

gloria

Step-by-step explanation:

40 divided by 8 = 5

30 divided by 5 =6

Remove all perfect squares from inside the square root.
\sqrt{30b^5}=

Answers

Answer:

The answer is b=0 or b=9.085603

Answer:

[tex]b^{2} \sqrt{30b}[/tex]

Step-by-step explanation:

The graph shows the number of cycles of a crosswalk signal during the day and during the night.

Answers

Answer:

Step-by-step explanation:

a). Since, both the lines are passing through origin (0, 0) y-intercept of the lines are zero.

For day periods,

Let the equation is, y = mx

Since, this line passes through (2, 80),

80 = 2m

m = 40

Therefore, equation for the day periods will be,

y = 40x

For night periods,

Let the equation is, y = mx

Since, this lines passes through (3, 90),

90 = 3m

m = 30

Therefore, equation of the line is,

y = 30x

b). For x = 6 hours,

Number of cycles in the day (y) = 40 × 6 = 240

Number of cycles in the night (y) = 30 × 6 = 180

Therefore, difference in the cycles in day and night = 240 - 180 = 60

4(y – 3) = y – pls help me on this question

Answers

Answer:

y=4

Step-by-step explanation:

can someone help me with this real quick?​

Answers

Answer:

11. A) 6x = 13

Step-by-step explanation:

11. Subtract 10 from both sides to make it equal 6x=13

12. For #12... None of the answers seem right? If you distribute and subtract, it should be

-4x + 44 = 66 then

-4x = 22...

Sorry if this didn’t help much, I know that 11 is right though ;)

is it a, b, c, or d?

Answers

Answer:

The answer is B. 4,7.5,8

Step-by-step explanation:

Becouse A and C Both of them is Right-angled triangle and D is Obtuse triangle

MULTIPLE CHOICE
What is your output when x is -5?
A. 1
B. -9
C. -1
D. 9

Answers

B) -9

STEP BY STEP EXPLANATION

Identify the scale factor if the length of a model train engine is 3 feet and the length of the engine itself is 24 feet

Answers

Answer:

jHshshshhzysjshhddbhxsbsshshsgshyskinsdisbandeds

Answer:

it should be 1 over 8

Step-by-step explanation:

Are the two triangles similar? How do you know?

Answers

Answer:

Yes the triangles are similar.

if you look at Angle C it's 60° and F is also 60°

60 + 67 is 127

127 + 53 is 180° which is the amount a triangle is. (assuming that E is 67°)

Similar triangles may or may not be congruent triangles.

The two triangles are similar.

From the figure, we have:

[tex]\mathbf{\angle F \cong \angle C = 60}[/tex] ----- Angles F and C are corresponding

[tex]\mathbf{\angle D \cong \angle G = 53}[/tex] ----- Angles D and G are corresponding

[tex]\mathbf{\angle H \cong \angle E = 67}[/tex] ----- Angles H and E are corresponding

Add the above angles.

[tex]\mathbf{Sum = 60 + 53 + 67}[/tex]

[tex]\mathbf{Sum = 180}[/tex]

The sum of the angles equal 180 degrees,

Hence. the triangles are similar triangles.

Read more about similar triangles at:

https://brainly.com/question/14926756

uHhhhhHHHhHhHhHh heLp?

Answers

Answer and Step-by-step explanation:

Use the Pythagorean theorem to solve.

Plug in the value 5 for a, and 6 for b. c will stay as c.

[tex]a^{2}+ b^{2}= c^{2} \\\\\\5^{2}+6^{2}= c^{2} \\\\\\25 + 36= c^{2} \\\\\\61 = c^{2} \\\\\\\sqrt{61} = c[/tex]

5 squared is equal to 25, and 6 squared is equal to 36.We add those together to get 61.

We then square root both sides of the equation to get c by itself, resulting in the square root of 61.

The square root of 61 becomes 7.810249676

c = 7.8102

To check, you would multiply that number by itself, then you will get 61. With the rounded version, you would get close to 61.

If you got 7.08 as an answer, then multiplying it by itself results in 50.1264, which isn't close to 61.

#teamtrees #PAW (Plant And Water)

which one is right, i need to knowwwwwwwwwwwwwwwww!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

what is the question?

Step-by-step explanation:

lol

I'll give brainliest ​

Answers

Answer:

its 2/3

my bad

what is first three common multiples of 4,9,and 12​

Answers

Answer:

36 is the answer of this question

Answer:

Methods to Find LCM of 4, 9 and 12

Least Common Multiple of 4, 9 and 12 is the smallest number, which is exactly divisible by all of them without any remainder.

Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36.

Multiples of 9 = 9, 18, 27, 36.

Multiples of 12 = 12, 24, 36.

PLEASE HELP.. A LOT OF POINTS GIVEN!! JUST PLEASE GIVE ME THE RIGHT ANSWER.


Question 1 :


The graph of f(x)=x2 was transformed to create the graph of g(x)=(x−4)2.


Which statement describes this transformation?


A) a horizontal shift to the right 4 units


B) a horizontal shift to the left 4 units


C) a vertical shift up 16 units


D) a vertical shift down 16 units



Question 2 :


The graph f(x)=x2 was transformed to create the graph g(x)=−(x2)2.


Which statement describes this transformation?


A) a reflection over the y-axis and a vertical stretch


B) a reflection over the x-axis and a horizontal stretch


C) a reflection over the x-axis and a vertical stretch


D) a reflection over the y-axis and a horizontal stretch

Answers

Answer:

A) a horizontal shift to the right 4 units

Step-by-step explanation:

As you can see in the image we simply went 4 unites to the right.

someone help pls?!? ill give brainliest

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Similar Triangles.

Since here we can see that, similar triangles different by size of the side by 0.5 ration,

hence,the value of x = 0.5 times of MN

hence, x = 5/2

so the mixed fraction representation is given as,

[tex]2 \times \frac{1}{2} [/tex]

mixed fraction ration is 2(1/2)

===> hence option is B.)

5 donuts and 2 cups of hot Chocolate costs 24$. 2 donuts and 3 cups of hot chocolate costs 14$.How much does each donut and each cup of hot chocolate cost​

Answers

Answer:cost of each donut =$4

and cost of each cup of hot chocolate =$2

Step-by-step explanation:

Step 1

Let donuts be represented as d

and cups of hot chocolate be rep as c so that

5 donuts and 2 cups of hot Chocolate costing 24$ will be expressed as

5 d+ 2 c= 24

And 2 donuts and 3 cups of hot chocolate costing  14$ will be expressed as

2d +3 c= 14

Step 2

Using elimination method,Multiply equation 1 by 3 and equation 2 by 2

15d+ 6c= 72----equation 3

4d+ 6c= 28-----equation 4

Subtracting equation 4 from equation 3 gives us

11 d=44

d= 44/11

d= 4

To find c, using equation 1

5 d+ 2 c= 24

5 x 4+ 2c=24

20+2c=24

2c=24-20

2c=4

c=4/2 =2

cost of each donut =$4

and cost of each cup of hot chocolate =$2

Find the measure of one of the interior angles of a
regular polygon with 12 sides.
A 30°
B 165°
C 150°
D 2160°

Answers

1)(12-2)*180=1800
2)1800\12=150
So the answer is C

please help me!!
basic Radicals

Answers

Answer:

C)

Step-by-step explanation:

[tex]x = \frac{\sqrt{a}}{ \sqrt{b}} = \sqrt{\frac{a}{b}}\\\\[/tex]

Both sides take square

[tex]x^{2}= ( \sqrt{\frac{a}{b}})^{2}=\frac{a}{b}[/tex]

If Amy has two apples and drops one, how many does she have then?

Answers

Answer:

one

Step-by-step explanation:

Answer:

one

Step-by-step explanation:

one

1. Two students went to McDonald's. They each bought the same snack, which included a shake
and a burger. The shakes cost $2 each. In total, they spent $12.
Part A: Enter an equation to represent this equation. Let x represent the cost of one burger.
Part B: Enter the cost of one burger.

Answers

Answer:

12-2=10 b=10

Step-by-step explanation:

Could someone possibly help me with this question? Thanks

Answers

Answer:

[tex]12\sqrt{2}[/tex]

good luck, hope this helps :)

What graph represents the inequality? Whoever answers first gets brainliest!

Answers

Answer:

B

We know the circle is closed

Your answer would be A because there are no negative number in the equation and the number is inclining

How can you write the expressiHow can you write the expression 7(b – 2) in words?
A.
two subtracted from the quotient of seven divided by b
B.
seven added to difference of b minus two
C.
the quotient of seven divided by b minus two
D.
two subtracted from seven times b
E.
the product of seven and the difference of b minus two
on 7(b – 2) in words?

Answers

Answer:

E.

the product of seven and the difference of b minus two

Answer:

The correct answer would be E

Step-by-step explanation:

the product of seven and the difference of b minus two

I did the test and got it right.

Becca joins a gym that charges a $150 starting fee, plus $50 per month she will quit before she’s payed the total of $1000, How many months can she work out at the gym?

Answers

Answer:

I believe it 13

Step-by-step explanation:

150+50= 200 then 100= two months so i added up till i got 13 weeks

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