For what values of k the relation R:{(k2 , 5), (3k, 6)} is not a function?

Answers

Answer 1
Answer:  k = 0 or k = 3

Explanation:

If you have repeated x values, then you wont have a function. For example, the points (1,5) and (1,6) mean we don't have a function since the input x = 1 leads to multiple outputs y = 5 and y = 6 simultaneously. For a function to be possible, we must have any input lead to exactly one output only.

What we do is set the x coordinates (k^2 and 3k) equal to each other and solve for k

k^2 = 3k

k^2-3k = 0

k(k-3) = 0 .... factoring

k = 0 or k-3 = 0 .... zero product property

k = 0 or k = 3

If k = 0, then (k^2,5) becomes (0,5). Also, (3k,6) becomes (0,6). The two points (0,5) and (0,6) mean the graph fails the vertical line test.

Similarly, if k = 3, then (k^2,5) becomes (9,5) and (3k,6) = (9,6). Another vertical line test failure happens here to show we don't have a function.


Related Questions

Answer the question please

Answers

Answer:

c

Step-by-step explanation:

When some weight is removed, the spring goes up q units

length after removing the weight = p - q = p + (-q)

PLEAsE HELP[
simplify:
(3x^4y^4)(5x^4) / 20xy^2

Answers

Answer:

[tex]\frac{3x^6y^2}{4}[/tex]

Step-by-step explanation:

[tex]\frac{3x^6y^2}{4}[/tex]

Use the image below to solve for the missing angles (round to the nearest tenth)

I need angle A,B, and C please, don’t forget to round to the nearest tenth

Answers

Answer:

456

Step-by-step explanation:

A Runner ran 1 4/5 miles on Monday and 6 3/10 on Tuesday. How many times her Monday’s distance was her tuesdays distance?





Can anyone help me with this please?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3 1/2 or 3.5

Step-by-step explanation:

We have to divide to see how many times her monday's distance was her tuesdays distance.

[tex]6\frac{3}{10}\div \:1\frac{4}{5}[/tex]

[tex]=\frac{63}{10}\div \frac{9}{5}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]=\frac{63}{10}\times \frac{5}{9}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{63\times \:5}{10\times \:9}[/tex]

[tex]=\frac{315}{10\times \:9}[/tex]

[tex]=\frac{315}{90}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:45[/tex]

[tex]=\frac{7}{2}[/tex]

[tex]=3\frac{1}{2}[/tex]

we can also be 3.5 in decimal form

jessica is participating in a half marathon which is about 13 miles considering 1 mile is equal to 5280 feet how many feet is jessica running in the half marathon

Answers

Answer:

68,640 feet

Step-by-step explanation:

Answer:

Times 13 by 5280 which should give you 68,640

Step-by-step explanation:

can someone please help me

Answers

Answer:

Below in bold.

Step-by-step explanation:

If I have interpreted the question correctly it is:

3*3*3*3 *x*x*x*x = 34

81 x^4 = 34

x^4 = 34/81

x = +/- (⁴√34) / 3 is the exact answer , or:

x = +/- 0.805 to nearest thousandth.

Consider the function p(t) shown, state the intervals on which the function is increasing.

A)

t < 1 and 3 < t < 4

C)

1 < t < 3 and t > 4

B)

t < 1 and 3 < t < 5

D)

0 < t < 2 and t > 5

Answers

Answer:

1 < t < 3 and t > 4

Step-by-step explanation:

The function begins increasing at t = 1 and stops increasing at t = 3.  It begins increasing atgain at t = 4.

In interval notion:  that'd be 1 < t < 3 and t > 4

Answer:

C if your doing prep

Step-by-step explanation:

math

WILL GIVE BRAINLIEST

Answers

Answer:

I dunno explain more please

-1 1/4 + 1/2
A)-1 3/4
B)-1 1/2
C)-3/4
D)-1/2

Answers

Answer:

Well, Your best answer will be is B. -1 1/2.

Hope That Helps!

[tex]^{Itsbrazts}[/tex]

Can someone help me with this? Thanks! :))

Answers

Answer: 12.25

Step-by-step explanation: DO I get brainliest?

There r 4 equal sides to a square. 49÷4=12.25

12 1/4

i think it’s 12.25 or 12 1/4 but yea :)

Write the polynomial in standard form.
6 + 2x2

Answers

Answer:

[tex]2*x^{2} +6\\[/tex]

Step-by-step explanation:

i think it will be [tex]2*x^{2} +6\\[/tex] ..

Look at the attached picture

Hope it will help you

Sam is riding his bicycle. He rides for 11.2 kilometers at a speed of 7 kilometers per hour. For how many hours does he ride?

Answers

Answer:

1.6 hours

Step-by-step explanation:

you divide 11.2 by 7

hope this is correct

Sam rides his bicycle for 1.6 hours.

Here is the solution:

Time = Distance / Speed

Time = 11.2 km / 7 km/hour

Time = 11200 m / 7000 m/hour

Time = 1.6 hours

Therefore, Sam rides for 1.6 hours.

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Which of the following ordered pairs is a solution of the function ƒ(x) = 3x – 1? Question 10 options: A) (–1, 4) B) (–1, –3) C) (–1, –4) D) (–1, 2)

Answers

Answer:

C) (-1,-4)

Step-by-step explanation:

f((x) = 3x -1

Substitute x = 0  (f (x) = 0)

0 = 3x-1

Move the variable to the left:

-3x = -1

Divides both sides by -3

X = 1/3

The students in art class are designing a stained-glass window to hang in the school entryway. The window will be 3 feet tall and 4 feet wide. Here is their design → They have raised $100 for the project. The colored glass costs $5 per square foot and the clear glass costs $2 per square foot. The material they need to join the pieces of glass together costs 10 cents per foot and the frame around the window costs $4 per foot. Do they have enough money to cover the cost of making the window?

Answers

Answer:

They dont have enough money

Step-by-step explanation:

Colored Glass =

$5/ 1 sq = 60 / 12 sq

Clear Glass =

2/1 = 24 / 12

Materials =

.1/ 1= 1.2 / 12

Frame=

$4 / 1 ft = 28 / 12

ADD THE TOTALS

60+24+1.2+28 = 113.2

Students do not have enough money to cover the cost of making the window.

Given that, the window will be 3 feet tall and 4 feet wide.

What is the area of a rectangle?

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Area of a rectangle =3×4

= 12 square feet

Now, the total cost = 5+2+0.10+4

= $11.1

The cost per 12 square feet area

= 12×11.1

= $133.2

Therefore, students do not have enough money to cover the cost of making the window.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

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27)
What is the center of the circle represented by this equation?

x2 + (y + 9)2 = 25
A) (3, 5)
B) (0, 25)
C) (9, 25)
Eliminate
D) (0, -9)

Help is appreciated!

Answers

Answer:

The center is (0, -9) and the radius is 5

Step-by-step explanation:

The equation of a circle can be written as

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

x^2 + (y + 9)^2 = 25

(x-0)^2 + (y- -9)^2 = 5^2

The center is (0, -9) and the radius is 5

Answer:

The center is (0, -9) and the radius is 5

Step-by-step explanation:

2(4x + 5) = 8
What’s x?

Answers

Answer:

x= -1/4

Step-by-step explanation:

2(4x + 5) = 8

8x+10=8

8x=8-10

8x=-2

x=-2/8

x=-1/4

Answer:

it could be .25

Step-by-step explanation:

distribute 2 to 4x +5

8x + 10 = 8

     - 10 - 10

8x = - 2

divide by 8

x = .25 or 1/4

How much is 7 x 2/3
Plz help

Answers

Answer:

4.6

Step-by-step explanation:

7×2/3

14/3

=4.6

so 7×2/3 is 4.6

A force of F = 1.12 × [tex]10^{4}[/tex] Newtons does work of W = 1.18 × [tex]10^{6}[/tex] joules. What is the approximate displacement in meters (Displacement = Work ÷ Force)?
A. 230 m
B. 132 m
C.105 m
D. 95 m

Answers

Answer:

[tex]105m[/tex]

Answer C is correct

Step-by-step explanation:

[tex]d = \frac{w}{f} \\ = \frac{1.18 \times {10}^{6} }{1.12 \times {10}^{4} } \\ = 1.05 \times {10}^{6 - 4} \\ = 1.05 \times {10}^{2} \\ = 105m[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The right answer is 105m

please see the attached picture for full solution

Hope it helps

if you could explain and answer I’d appreciate

Answers

Answer:

-10

Step-by-step explanation:

5 is lower than 15 so the answer must be negative

if 15 minus 5 is 10

then 5 minus 15 has to be 10

I think the answer is 10. Normally 5-15 would be -10 but because of the absolute value bracket things (I don’t remember what they’re called) it would be the opposite of the negative number, so I think your answer is 10. I haven’t done these in a while

HELP! Here is the histogram of a data distribution. All class widths are 1.
What is the median of the distribution?
(see picture)

Answers

Answer:

6

Step-by-step explanation:

Help Plz!

Raj builds a side table in the shape of a cube. Each edge of the cube measures 30 inches. Raj wants to cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 3 inches. How many tiles will he need?

Answers

Answer:

10 for each side so 40 tiles

Step-by-step explanation:

f(x) = x2 – 8x – 9 , what is the vertex of this function?

Answers

Answer:

Vertex: (4;-25)

Step-by-step explanation:

I know because I answered it already

Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk
and 4 loaves of bread at the same prices, for a total of $10.
How much does a liter of milk cost, and how much does a loaf of bread cost?
Aliter of milk costs $
and a loaf of bread costs $

Answers

Answer:

Step-by-step explanation:

A liter of milk cost $.75

A loaf of bread cost $1.75

Answer:

Step-by-step explanation:

Cost of milk = $ m

Cost of bread = $ b

3m + 5b = 11   ------------------(I)

4m + 4b = 10       ----------------(II)

Multiply equation (I) by 4 and multiply equation (II) by (-3). Thus when you add, m will be eliminated and we can find the value of b

(I)*4            12m + 20b = 44

(II)*(-3)       -12m - 12b = -30   {Now add & m will be eliminated}

                             8b  = 14

b = 14/8

b = $ 1.75

Cost of a loaf of bread = $ 1.75

Plugin  the value of b in equation (I)

3m + 5*1.75 = 11

3m + 8.75 = 11

3m = 11 - 8.75

3m = 2.25

m = 2.25/3

m = $ 0.75

Cost of  one liter of milk = $ 0.75

Decide if the relationship described by the table of values is a function or not.​

Answers

Answer:

Yes

Step-by-step explanation:

A function is a function when each domain is paired with exactly 1 range. So, this also means that there can't be a domain with more than 1 of the same number. Meaning 2 3's or 4 2's.


12 kids brought gifts to the party. This was 60% of the kids who attended the party. What equation can be used to find the number of kids who attended the party?

Answers

Answer:

Number of kids who attended the party = 12 / 0.60

Step-by-step explanation:

60% = 12

[tex]x[/tex] x 0.60 = 12

Number of kids attending = [tex]x[/tex]  = 12 / 0.60

Darius buys a bottle of a chemical solution that contains 70% alcohol. The bottle contains 500 millimiters of solution.
How many millimiters of alcohol are in the solution?

Answers

Answer:

350 ml

Work Shown to complete problem:

Use a calculator, or use Siri :)

The expression x2 – 10x + 24 is equivalent to

Answers

Answer:

(x-6) (x-4)

Step-by-step explanation:

Its a quadratic equation, You need to find the values that multiply to get 24 and that add to -10. In this case, its (x-6) (x-4). You can check this by using foil.

The given expression should be equivalent to the (x - 6) and (x - 4)

Calculation of the expression:

Since the equation is

[tex]x^2 -10x + 24\\\\x^2 - 6x - 4x + 24\\\\[/tex]

x (x - 6) - 4(x - 6)

(x - 4) (x - 6)

Therefore, we can conclude that The given expression should be equivalent to the (x - 6) and (x - 4)

Learn more about expression here: https://brainly.com/question/1673286

Given the system of inequalities: 4x – 5y < 1 One-halfy – x < 3 Which shows the given inequalities in slope-intercept form? y < Four-fifthsx – One-fifth y < 2x + 6 y > Four-fifthsx – One-fifths y < 2x + 6 y > Negative four-fifthsx + One-fifth y > 2x + 6

Answers

Answer:

B.)

y ≥ 4/5x- 1/5

y ≤ 2x + 6

Answer:

if yall are looking for the answer for the graphs is it graph A

Step-by-step explanation:

please help me with geometry
What type of symmetry does the figure have?

line symmetry only
rotational symmetry only
both line and rotational symmetry
none of the above

(all the three figures have the same question)

Answers

Answer:

Rectangle has both line and rotational symmetry

The Z has line symmetry

The trapezoid lookin thing has none

Rectangle has both line and rotational symmetry, the Z has line symmetry and the trapezoid has none of the symmetry.

What is Coordinate Geometry?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Lines of symmetry are mixed up with rotational symmetry.

A line of symmetry divides the shape equally into two symmetrical pieces.

A rotational symmetry is the number of times a shape fits into itself when rotated around its centre.

Rectangle has both line and rotational symmetry

The Z has line symmetry

The trapezoid has none of the symmetry.

Therefore, Rectangle has both line and rotational symmetry, the Z has line symmetry and the trapezoid has none of the symmetry.

To learn more on Coordinate Geometry click:

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If two angles are complementary and one measures 36°, what is the measure of the other angle?

Answers

Answer: 54°

Step-by-step explanation: If two angles are complementary, then the sum of their measures is 90 degrees.

If the measure of an angle is 36°, then

the measure of its complement is 54°.

We can find the measure of its complement by taking 90 minus the measure of the original angle which in this case is 90 - 36 or 54°.

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