What is the domain of the following relation?
a. {-3, -1, 1, 4, 5}
b. {-5, 0, 2, 6}
c. {-3, -5, 0, 2, 4, 5, 6}
d. there is no domain

See attachment, this took me a while so please say thanks and rate <3

Answer:

5 with a remainder of 49

Step-by-step explanation:

Reflection across the y-axis is H(-1,-3), Z(-1,2) W(-4,1).

When point M (h,k) is reflected along the y-axis, the image M' with coordinates of forms in the second quadrant (-h, k).

Thus, we get the conclusion that when a point is mirrored along the y-axis, the y-coordinate stays constant but the x-coordinate changes to the negative.

H(1,-3) → H(-1,-3)

Z(1,2) → Z(-1,2)

W(4,1) → W(-4,1)

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For Jeremy the new balance due was $8.9  .

In the question ,

it is given that ,

bill received by Jeremy with balance due =  $35.60  

also given that after an error occurred  ,

the new balance was 1/4 of the original balance due .

So , the new balance due is = (1/4) × (original balance due)

Substituting the value of original balance due ,

we get ,

new balance due = (1/4) × (35.60)

= 35.60/4

On Simplifying further ,

we get ,

= 8.9

Therefore , For Jeremy , the new balance due was $8.9  .

The given question is incomplete , the complete question is

Jeremy received a bill with a balance due of $35.60. After an error was corrected, the new balance was 1/4 of the original balance due. What was the new balance due ?

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Answer:

  (x -3)² -10

Step-by-step explanation:

You want the vertex form of x² -6x -1, found by completing the square.

The square of a binomial is ...

  (x -a)² = x² -2ax +a²

The constant in this perfect square trinomial is the square of half the coefficient of the linear term: a² = (-2a/2)²

To complete the square for the given quadratic, the perfect square trinomial must have a constant of (-6/2)² = 9. We can add and subtract 9 to rearrange the quadratic to the desired form.

  x² -6x -1

  = (x² -6x +9) -1 -9 . . . . . . . +9 -9 was added

  = (x -3)² -10

Answer:

192

Step-by-step explanation:

If 20% is the profit, then 80% is the cost.

.8 x 240 = 192

Answer:

Answer:

85.2 km/h

Step-by-step explanation:

you are looking for the average speed of a car=rate of the car

distance =213km

time=2 hours 30 minutes also 2 1/2h or 2.5h

distance =rate×time

213km=rate×2.5h

(transpose)

213km÷2.5h=rate

85.2km/h=rate

hope this helps!!!

pls mark brainliest...i really need it :/

The function notation of the following are:

f(1) = 5

f(0) = 1

f(-3) = -11

f(8) = 33

Given:

x is the input.

the function is 4x+1

f(x) is the output.

we are asked to determine the values of the following :

a. f(1)

x = 1

so f(x) = 4x+1

f(1) = 4(1)+1

f(1) = 4+1

f(1)=5

b. f(0)

x = 0

so f(x) = 4x+1

f(0) = 4(0)+1

f(0) = 0+1

f(0)=1

c. f(-3)

x = -3

so f(x) = 4x+1

f(-3) = 4(-3)+1

f(1) = -12+1

f(1)= -11

d. f(8)

x = 8

so f(x) = 4x+1

f(8) = 4(8)+1

f(8) = 32+1

f(1)=33

Hence we get the required values.

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Answer:

[tex]\textsf{a.} \quad x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]

b.  y = -6

c.  Minimum point at (1, -7).

d.  Domain:  (-∞, ∞)

e.  Range:  [-7, ∞)

f.  See attachment.

Step-by-step explanation:

Given function:

[tex]\text{f}(x)=x^2-2x-6[/tex]

As per the question, use a graphing calculator to graph the given function.

The x-intercept(s) are the points at which the curve crosses the x-axis.

The y-intercept is the point at which the curve crosses the y-axis.

From inspection of the graph:

The domain of a function is the set of all possible input values (x-values).

The domain of the given function is unrestricted.

The range of a function is the set of all possible output values (y-values).

As the function has a minimum point at y = -7, the range is restricted.

Graph label the axes using a scale of 1 (see attachment).

Answer:

OB. g(x) = 31x1

C. g(x) = 13x1

Step-by-step explanation:

The correct answer which define proportional relationship between x and y is OA line that goes through (0, 0) and (3.6, 14.4)

What does proportionality mean to you?

Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.

As we can see that in the given question [tex]\frac{x}{y} =\frac{1}{4}[/tex]
and there is only one option which fits this ratio is third one


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Answer:

to simplify the dude aboves' answer its C

Step-by-step explanation:

 A line that goes through (0, 0) and (3.6, 14.4)

Answer:

  no, no, yes, yes

Step-by-step explanation:

You want to know which of the ordered pairs are solutions to the given system of equations: 6x -3y = 9, y = 2x -3.

The attached graph shows that the two equations describe the same line. The given points are plotted on the same graph. The ones on the line are solutions.

  (4, -5) . . . not a solution

  (-1, 8) . . . not a solution

  (7, 11) is a solution

  (0, -3) is a solution

On Wednesday 1/6 of the patio area is left to tile

Let the patio area be x

On Monday, he tiled 1/3 of his patio = 1/3 x

on Tuesday, he tiled 1/2 of the patio area = 1/2 x

The area left to tile on Wednesday

= x - (1/3 x + 1/2 x)

x - 1/3 x - 1/2 x

(6x - 2x - 3x)/6

= 1/6 x

The area left to tile on Wednesday is 1/6 of the patio area

Therefore,  1/6 of the patio area is left to tile on Wednesday

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Answer:

the number greater than 5 is only 6 in the case of a coin.

Step-by-step explanation:

in a coin numbers greater than 5 is only 6

probability= No of required outcome/ No of possible outcome.

P.B= 1/6

in a coin there is head or tail

P.B of getting tail

P.B= Tail/Head + Tail

P.B= 1/2

The coin of course, has two sides, heads and tails. Assume we are talking about a six-sided die. Let's look at the individual probabilities.

There are only two sides to the coin, tails being one of them, so:
p(tails) = 1/2

The die goes from 1 to 6. We need to see the numbers that fit the inequality:

p(5 < x ≤ 6)
There is only one integer that is greater than five and less than or equal to six, and that is six. If there is only one number out of six, then:
p(>5) = 1/6

When dealing with probabilities, to determine the probability of two things happening, multiply both probabilities.

1/2 x 1/6 = 1/12

The arc length of the segment it 6.28 meters

From the question, we have the following parameters:

Central angle, x = 72 degrees

Diameter, d = 10 centimeters

The radius of the circle can be calculated using

r = d/2

So, we have

r = 10/2

Evaluate

r = 5 cm

The exact arc length using the central angle measure is calculated as:

Arc length = x/360 * 2πr

Substitute the known values in the above equation

Arc length = 72/360 * 2π * 5

Evaluate

Arc length = 6.28

Hence, the exact arc length using the central angle measure is 6.28 meters

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Possible question

The diameter of the circle is 10 centimeters and the measure of is 72º. Find the length of arc

Round your calculations to the nearest tenth. Complete your work in the space provided.

Check the picture below.

The required feet added to both the length and width of the patio is 6 feet.

Given that,
A square patio had the same number of feet added to its length and width. The equation A(x) = x² + 12x + 36 represents the area of the new patio in square feet, where 'x' was the length and width of the original patio, in feet.

Here,

According to the question,
A(x) = x² + 12x + 36
A(x) = x² + 6x + 6x + 36
A(x) = (x + 6)(x + 6)

Length = width = x + 6

Thus, the required feet added to both the length and width of the patio is 6 feet.

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By performing some simple mathematical operations, the answers to all the subparts are:

So, the answers after multiplication are:

Therefore, by performing some simple mathematical operations, the answers to all the subparts are:

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Answer:

[tex]m=-8/3[/tex], the options are wrong

Step-by-step explanation:

[tex]3m-4-\frac{3}{2}m+8=0 \\ \\ 6m-8-3m+16=0 \\ \\ 3m+8=0 \\ \\ m=-\frac{8}{3}[/tex]

The question is incorrect.

Answer:

68°

Step-by-step explanation:

The angles are equal to each other.  Set them equal and solve for x

5x + 18 = 8x - 12  Subtract 5x from both sides of the equation

18 = 3x - 12  Add 12 to both sides of the equation

30 = 3x  Divide both sides by 3

10 = x

Now that you have found x plug is back into  5x + 18

5(10) + 18

50 + 18 = 68

Answer:

∠ FLJ = 68°

Step-by-step explanation:

∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then

8x - 12 = 5x + 18 ( subtract 5x from both sides )

3x - 12 = 18 ( add 12 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Then

∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°

The distance between the two points (3, π/6) and (2, π/3) in polar coordinates is 1.614 units

The points are (3, π/6) and (2, π/3)

The polar coordinate system is the system that represent a point by a distance from a fixed reference point and angles from a reference direction

The distance between the two points

d = [tex]\sqrt{r_1^2+r_2^2-2r_1r_2cos(theta_1-theta_2)}[/tex]

(3, π/6) is the coordinates of first point

(2, π/3) is the coordinates of second point

Substitute the values in the equation

d = [tex]\sqrt{3^2+2^2-2(3)(2)cos(\pi/6 - \pi /3)}[/tex]

d = [tex]\sqrt{9+4-12(\frac{\sqrt{3} }{2} )}[/tex]

d = [tex]\sqrt{13-6\sqrt{3} }[/tex]

d = 1.614 units

Hence, the distance between the two points (3, π/6) and (2, π/3) in polar coordinates is 1.614 units

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Answer: [tex]\frac{4\sqrt{x} }{t^2}[/tex]

Step-by-step explanation:

You can start by either applying the exponent to both the numerator and denominator (exponent rule), or make things simpler by dividing first. Doing the latter allows me to show both properties. Since the terms in the fraction are being multiplied, we can divide common terms which will leave us with [tex]\frac{16x}{t^4}[/tex] on the inside. Now that it is simplified, we can apply the exponent. We will end up with 4x^1/2 in the numerator and t^2 in the denominator. If the exponent seems daunting, it is also helpful to know that raising something to the exponent of 1/2 is basically taking the square root of it.

She made sales of =$61,200.00

acc to our  question-

Step-by-step explanation:

1.5% = 0.015 , 4% = 0.04 , 5% = 0.05

16,000 × 0.015 = $240.00

$25,000 × 0.04 = $1,000.00

$2,250.00 - ($240.00 + $1,000.00) = $1,010.00

$1,010.00 ÷ 0.05 = $20,200.00

$20,200.00 + $25,000.00 + $16,000.00 = $61,200.00

hence,She made sales of =$61,200.00

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Answer:

1/2=0.5

Step-by-step explanation:

-2+4/5°-1=1/2

Answer:

j=3

Step-by-step explanation:

distribute

-3(j-8)+-6=-9

-3j+24-6=9

-3j+18=9

-3j=-9

j=3

Hopes this helps pleae mark brainliest

Answer:

j = 9

Step-by-step explanation:

Let's solve for the value of j,

→ -3(j − 8) + (-6) = -9

→ -3j + 24 - 6 = -9

→ -3j + 18 = -9

→ -3j = -9 - 18

→ j = (-27)/(-3)

→ j = 27/3

→ [ j = 9 ]

Hence, the value of j is 9.

The inequality to represent the number of tickets Bianca can buy without over drawing on her debit card is 14.50 + 6.50x ≤ 50  .

In the question ,

it is given that

amount of money present in Bianca's Debit card = $50

amount of money spend on lunch = $14.50

cost of 1 movie ticket = $6.50

le the number of ticket = "x"

according to the question ,

the inequality is

14.50 + 6.50x ≤ 50

6.50x ≤ 50 - 14.50

6.50x ≤ 35.5

x ≤ 35.5/6.50

x ≤ 5.46

≈ 5

Therefore , The inequality to represent the situation is 14.50 + 6.50x ≤ 50  

, and the number of tickets she can buy is 5 .

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The answer is option (a)

Hope this answer helps you

Answer: 2/17 or 2 over 17

Step-by-step explanation: