Which of the following represents a function?

Answer:

Answer (e)

Step-by-step explanation:

Note that this graph has a zero at x = 1 and a vertical asymptote at x = -4.  Only Answer (e) corresponds to that.  Try letting x = 1.  y is zero, correct?  Try letting x = -4.  y is undefined, correct?

Answer: 225°

Step-by-step explanation:

Each rotation is 45°

From C to H, there are five rotations

5 * 45 = 225°

Answer:

D: 225 degrees

Step-by-step explanation:

You want to first find the value of each angle that comes in together at point P. To do this, you take 360 degrees/8 degrees. 360 since that is a central angle and 8 because there are 8 congruent angles that make up the central angle. You should get 45 degrees. Then since it takes 5 "45 degree turns" to get onto H, you would do 5 times 45 to get 225.

Answer:

0.5

Step-by-step explanation:

8x+6=10

8x=10-6

8x=4

x=4/8=0.5

Answer:

isoceles right triangle

Step-by-step explanation:

the two lines shows their equal length and its at a 90 degrees angle so its a  isoceles right triangle

Answer:

7x

Step-by-step explanation:

Answer:

A = 2/15 gallons per bottle

Step-by-step explanation:

Given;

Total volume of ketchup V = 2 gallons

Number of bottles N = 15

The amount of ketchup per bottle A;

A = total volume of ketchup ÷ number of bottles

A = V/N

Substituting the values;

A = 2gallons ÷ 15bottles

A = 2/15 gallons per bottle

Answer:

2/15

Step-by-step explanation:

2 divided by 15 is the same or equal to 2/15

example: 2 divided by 15= 2/15

Answer:

x = 20º

Step-by-step explanation:

we know that  sin x = cos(90-x)

Hence

sin 30º = cos(90 - 30)º

sin 30º = cos 60º

hence sin 30º can be also written as cos 60º

Also, as given

sin 30º = cos(3x)

therefore

cos 60º =  cos(3x)

as we have cos on both side then angle for both side will be same

60º =  3x

=> 60º / 3 = x

=> x = 20º

Then  x = 20º is answer.

Answer:

Step-by-step explanation: idk ok 1-2 is idk

Answer: £225

Step-by-step explanation:

Amount shared = £750

Let Sarah's share = y

Therefore,

Caroline's share = 3y

Bridget's share = 2(3y) = 6y

Mathematically,

y + 3y + 6y = £750

10y = £750

y = £750/10

y = £75

Caroline's share = 3y

Caroline's share = 3 × £75 = £225

Caroline's share is £225

Answer:

8 miles OR 8.0 miles

Answer:  [tex]\bold{2)\ sin\ C=\dfrac{20}{29}\qquad 3)\ tan\ A=\dfrac{8}{15}\qquad 4)\ tan\ Z=\dfrac{4}{3}}[/tex]

Step-by-step explanation:

[tex]2) \sin C=\dfrac{\text{side opposite of}\ \angle C}{\text{hypotenuse of triangle}}=\large\boxed{\dfrac{20}{29}}\\\\\\3) \tan A=\dfrac{\text{side opposite of}\ \angle A}{\text{side adjacent to}\ \angle A}=\large\boxed{\dfrac{8}{15}}\\\\\\4) \tan Z=\dfrac{\text{side opposite of}\ \angle Z}{\text{side adjacent to}\ \angle Z}=\dfrac{40}{30}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]

please see the attached picture

Hope it helps

Good luck on your assignment,

MY KEY BROKE AND ITS NOT UNNY

Answer:

i hope this will help you

Step-by-step explanation:

a 365+94+35

=494

b 896+423+104

=1423

c 379×25×4

=45480

d 89×125×8

=89000

Answer:

25 Paper Clips

Step-by-step explanation:

100cm is equal to 1 meter. So to find the answer you would need to take the whole of the centimeter (100) and divide that by the paper clips length (4).

100/4 = 25

So, to form a straight line 10 meters long you would need 25 paper clips each 4cm long.

The number of 2,500 paper clips like the given paper clip can be made from a straight piece of wire that is 10 meters long.

Multiplication is a type of mathematical operation. The repetition of the same expression types is another aspect of the practice.

For instance, the expression 2 x 3 indicates that 3 has been multiplied by two.

We can start by converting the length of the wire to centimeters since the length of the paper clip is given in centimeters:

10 meters = 10,000 centimeters

To determine the number of paper clips that can be made from the wire, we need to divide the total length of the wire by the length of each paper clip.

Number of paper clips = Total length of wire / Length of each paper clip

Length of each paper clip = 4 cm

Number of paper clips = 10,000 cm / 4 cm

Number of paper clips = 2,500

Therefore, the required number is 2500.

To learn more about multiplication;

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Answer:

x=-1½

Step-by-step explanation:

1/3^x=27^x+2

3^-x=3^3x+6

-x=3x+6

-6=3x+x

-6=4x

x=-1½

Answer:

I think that C) and D)

Step-by-step explanation:

I think this because if you look at 3.5 secounds it came down and after 1.75 secounds the ball hit the ground. A) wouldn't be because it came down at 3.5 secounds not coming up. B) wouldn't be because the ball droped after 1.75 secounds not come up.

Answer:

5^18 in index form is the answer :)

Step-by-step explanation:

(5^3)^6

In a polynomial like this the rule is that,

(a^m)^n

= a^m*n (multiply the exponents)

So let a be 5

m be 3 and n be 6

5^3^6

= 5^3*6

= 5^18

Answer:

cause it is

Step-by-step explanation:

it just is, sorry i can't help. maybe bc there are more positive functions then negative ones?

Answer:

The numbers needed to fill each box are in the image attached

Step-by-step explanation:

The probability of the coin landing on heads is 2/7, so the probability of it landing on tails is 1 - 2/7 = 5/7

The probability of landing heads 2 times is:

P = (2/7) * (2/7) = 4/49

The probability of landing heads and then tails is:

P = (2/7) * (5/7) = 10/49

The probability of landing tails and then heads is:

P = (5/7) * (2/7) = 10/49

The probability of landing tails 2 times is:

P = (5/7) * (5/7) = 25/49

The numbers needed to fill each box are in the image attached.

Step-by-step:

The first flip numbers will always add up to 1 so you do

1 - 2/7= 5/7

now it gets easy...

The second flip  head will be 2/7 because it is a biased dice and the second flip tail will be 5/7

This also applies for the bottom 2: 2/7 head, 5/7 tails

hope this helped :)

The function p(x) = 5x³ + 3 grows at the fastest rate for increasing values of x.

A function is a relation between two sets one is called domain and the other one is range.

Given functions are:

h(x) = 2x

f(x) = 8x² − 3x

g(x) = 19x

p(x) = 5x³ + 3

Here, p(x) = 5x³ + 3 is the only cubic function.

As the degree of the function p(x) is highest among all.

Therefore, this function p(x) grows at the fastest rate for increasing values of x.

Learn more about function here:

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Answer:

I'll email it to you

Answer:

let f(x)= y

y = 4x+8

x= 4y + 8

4y = x - 8

y = (x - 8)/4

Hope this helps.

Answer:

x/4 - 2 = y

Step-by-step explanation:

soo switch x and f(x)

x=4y+8

then bring it back to like how it was before

x-8=4y

then

(x-8)/4=y

then simplify

x/4 - 8/4 = y

which can then be simplified to

x/4 - 2 = y

Answer:

[tex]255.04[/tex] cm

Step-by-step explanation:

[tex]\pi r^{2} h[/tex]

[tex]\pi \times 3^2 \times h=7211[/tex]

[tex]\pi \times 9 \times h=7211[/tex]

[tex]h=7211 \div 9\pi[/tex]

[tex]h \approx 255.036954[/tex]

Answer:

h = 255.2 cm³

Step-by-step explanation:

V=πr²h

7211 = (3.14)(3)²h

h = 255.2 cm³

Answer:

f(x) = 4x + 48

Step-by-step explanation:

Replace the positions of x and y and isolate y to find the inverse of a function.

y = 1/4x – 12

x = 1/4y – 12

x + 12 = y/4

4(x + 12) = y

4x + 48 = y

f(x) = 4x + 48

Answer:

d

Step-by-step explanation:

The rule that was used to translate the image is (x, y) → (x – 6, y + 11)

Translation is a way of moving an object from one location to another on the xy- plane

Given the coordinate of the right triangle LMN with vertices L(7, –3), M(7, –8), and N(10, –8)

If the triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8), the translation used will be:

L'(1, 8) = (x, y) - L(7, -3)

(X, Y) =  L'(1, 8) +  L(7, -3)

(X, Y) = (1+7, 8+3))

(X, Y) = (-6, 11)

Hence the rule that was used to translate the image is (x, y) → (x – 6, y + 11)

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Answer: Option c.

Step-by-step explanation:

The dotted line means that the points in the line do not belong to the system, while the other line has all the points on the line.

Now, the point we are looking for must be a solution for both inequalities, so it must be in the region of the graph that is double shaded. (this would be the area at the left)

You now can take each point and see where it is located in the graph, if it is inside the double shaded area, then it is the correct answer.

Now, you will see that the only point that lies inside the double shaded area is the point (-4,1), so the correct option is c.

The point (-4, 1) is in the solution set of the system of inequalities.

An inequality shows the non equal comparison between two numbers or variables.

Given the inequalities as shown in the graph, the solution set of the inequalities is the point that lies on the dark shaded portion.  

The dark shaded portion is the solution of the inequality.

From the graph the point (-4, 1) lies on the dark shaded portion.

Therefore the point (-4, 1) is in the solution set of the system of inequalities.

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Answer:

Step-by-step explanation:

You can observe the figure in the image attached.

Notice that angle AOE is 90°, that is, it's a right angle. (The little red square indicates its perpendicularity).

Now, the adjacent and congruent angle to AOE is angle EOC, because they are on a straight angle, they are supplementary angles and also adjacent angles.

Savings account: $4 / $200 = 0.02 x 100 = 2%

Bond: $85 / $1000 = 0.085 x 100 = 8.5%

Real Estate: $6,400 / $40,000 = 0.16 x 100 = 16%

Answer:

Third option correct

Step-by-step explanation:

The diagonal is the distance between 2 of the vertices, and to end.

So the option we shall choose will contain 2 of the vertices in a distance between points equation.

Mathematically, the distance between two points is given by;

D = √(x2-x1)^2 + (y2-y1)^2

The correct option is the third option.

This is because it takes into consideration two of the vertices which are points A and point C

Answer: c the third one

Step-by-step explanation: