Its pretty easy if you are good at math! Please help!

Answer:

a) y = -6/x has a vertical asymptote at x = 0

b) y = 1/(2·x) - 1 has two asymptotes;

1) A vertical asymptote at x = 0

2) A horizontal asymptote at y = -1

Step-by-step explanation:

The asymptote is given as the line in which the distance between the graph and the line draws closer to zero as either the 'x', or 'y', or both 'x', and 'y', approaches infinity

a) The given equation is y = -6/x

Therefore, the function does not have a horizontal or oblique asymptote only a vertical asymptote at x = 0

b) The given equation is y = 1/(2·x) - 1

∴ y = (1 - 2·x)/(2·x)

The function has a vertical asymptote at x = 0

The function has an horizontal asymptote at y = -2/2 = -1

Answer:

Step-by-step explanation:

we have a rectangle and a semicircle,

area rectangle=14*4=56

area of semicircle

diameter is 4, than r=2

A of the circle=3.14*r^2=3.14*4=12.56

we have a semicircle so we will divide the area by 2

A=12.56/2=6.28

total area=56+6.28=62.28

9514 1404 393

Answer:

  (b)  1 foot = 3/8 inch

Step-by-step explanation:

The given ratio is ...

  actual : scale = 4" : 1/8"

You know that 1 foot = 12 in = 3×4 in, so you can multiply the above ratio by 3 to see what it is for 1 foot.

  actual : scale = 3×4" : 3×1/8"

  = 12" : 3/8"

  = 1 foot : 3/8 in

______

Alternate approach

Essentially, we're saying that the ratios between actual measures and those on a scaled drawing or model form a proportion.

  scale / actual = (1/8")/(4 in) = ??/(12 in)

Multiplying by 12 in, we get ...

  ?? = (12 in)(1/8")/(4 in) = 3×1/8"

  ?? = 3/8"

__

More detail

Notice that this only works when the units in the ratio (12 in)/(4 in) cancel to give a pure number 12/4 = 3.

If we had put 1 foot in the proportion, then we would end up with ?? being expressed in feet, not inches:

  (1/8")/(4") = ??/(1 ft)

  ?? = (1 ft)(1/8")/(4") = (1 ft)(1/32) = 1/32 ft

Then, to find the answer to the question, we would have to find out how many inches is 1/32 ft.

  1/32 ft = (1/32)(12 in) = 12/32 in = 3/8 in

__

End comment

For best results, the units in corresponding parts of a proportion should be the same.

This question is incomplete

The girls' swim team is hosting a fund raiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items.

Write a system using c for candles and f for flowers.

Answer:

c + f ≤ 200

5c +6f ≥ 500

Step-by-step explanation:

Using

c for candles

f for flowers.

The girls estimate that at most they will sell 200 items.

At most is a statement that means : Less than or equal to with the inequality sign (≤)

Hence:

c + f ≤ 200

They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6.

At least is a statement that means : Greater than or equal to with the inequality sign (≥)

Hence:

$5 × c + $6 × f ≥ $500

5c + 6f ≥ 500

Therefore, the system of inequalities is given as:

c + f ≤ 200

5c + 6f ≥ 500

Answer: 5 weeks

Step-by-step explanation:

In the 1 week he was on vacation, Nolan was able to buy 3 postcards.

The rate he is buying postcards is therefore 3 per week.

If he needed to buy 15, he would need to be there for:

= 15 postcards/ 3 postcards a week

= 5 weeks

Answer:

(x +8) (x - 3)

Step-by-step explanation:

Hope it helps you in your learning process.

Answer: -2

Step-by-step explanation:

3 squared + 1, -2 +-3

10/-5= -2

Answer:

-2

Step-by-step explanation:

Alligators have a greater IQR because there were some very long alligators (high outliers)

D: Alligators have a greater IQR because there were some very long alligators (high outliers)

Use the interquartile rule to find outliers and calculate the interquartile range of data.

Multiply the interquartile range (IQR) by 1.5 (a constant used to identify outliers). 44 Adds 1.5x (IQR) to the 4th interquartile range. Numbers larger than this are suspected of being outliers.

Subtract 1.5x (IQR) from the first interquartile range.

If you subtract 1.5xIQR from the first quartile, data values ​​smaller than this number are considered outliers. If you add 1.5 x IQR to the third interquartile, data values ​​larger than this number are considered outliers.

Learn more about outliers and the interquartile here:https://brainly.com/question/17083142

#SPJ2

Answer:

slope: [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

If we were to plot the first pair on a graph it would be (-2,3) and the next pair of points plotted would be (0,4). The intercepts are [tex]x^{1},x^{2}[/tex] and [tex]y^{1}, y^{2}[/tex]. To find the slope of a line using pairs of plotted points, you need to use the slope formula  [tex]\frac{rise}{run}[/tex] to solve this.

- write your formula

[tex]\frac{rise}{run} : m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

- plug in your numbers

[tex]m=\frac{4-3}{0-(-2)}[/tex]

- solve

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

I hope this helps!

Answer:

Since it is not an equation u wont get a numerical value

so basically its just fraction addition and subtraction

which is ((2/5)-(3/5)+(1/10))k

so answer is (-1/10)k

Step-by-step explanation:

[tex] \frac{2}{5} k \: - \frac{3}{5} + \frac{1}{10} k[/tex]

[tex] \frac{4}{10} k + \frac{1}{10} k - \frac{3}{5} [/tex]

[tex] \frac{5}{10} k - \frac{3}{5} [/tex]

[tex] \frac{k}{2} - \frac{3}{5} [/tex]

Answer:

A≈254 cm^2

Step-by-step explanation:

The area of a circle is given by formula:  π r^2

π  has a constant value of  3.14  And the radius of the circle is  9 c m

the area= π r^2 = 3.14 x (9)^2 cm^2

= 3.14 × ( 81 )

= 254.34 c m^2

≈ 254 c m^2

Answer: Each paper clip is [tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

Simply divide how long the notebook is, by how many paper clips there are, [tex]10\frac{2}3}[/tex] divided by 8.

Answer:

A.

2d3 – 7d2 – 103d + 36

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:9

Step-by-step explanation:

dk

Answer:

its 0.642857 pls tell me if im wrong lol srry if it is

Answer:

there's no grid provided

Answer:

Step-by-step explanation:

at fourth column:

Answer:

Y = 5/4)x + 9

Step-by-step explanation:

Y = mx + b

b = y int

m = slope

Answer:

7x+14 I think is correct. it's just combining like terms

Answer:

250/30= 25/3

inverse of 25/3= 3/25

Step-by-step explanation:

Answer:

The other end of the line segment is at (-8, 3)

Step-by-step explanation:

Since we know one end point and the midpoint, all we need to do is take the vector from the end point to the midpoint, and add it again to the midpoint to find the other end point:

dx = -5 - (-2) = -3

dy = -1 - (-5) = 4

-5 + dx = -8

-1 + dx = 3

So the other end of the line segment is at (-8, 3)

If a segment has an endpoint at (-2, -5) and a midpoint at (-5, -1), the coordinates of the other endpoint are (-8, 3)

The midpoint of a line segment is given as:

[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]

One of the endpoints of the line segment is (-2, -5)

That is, [tex]x_1=-2, y_1=-5[/tex]

Let the coordinates of the other endpoint be [tex](x_2, y_2)[/tex]

Solving for [tex]x_1[/tex] and [tex]y_1[/tex] in  the equation:

[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]

[tex]-5=\frac{-2+x_2}{2} \\\\-2+x_2=-5(2)\\\\x_2=-10+2\\\\x_2=-8[/tex]

Solve for [tex]y_2[/tex]

[tex]b=\frac{y_1+y_2}{2} \\\\-1=\frac{-5+y_2}{2} \\\\-2=-5+y_2\\\\y_2=-2+5\\\\y_2=3[/tex]

The coordinates of the other endpoint are (-8, 3)

Learn more here: https://brainly.com/question/20696453

Answer:

yes, it is proportional because the slope is constant, and it is a linear equation

the unit rate is 25 x's per y

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

Subtract 3 everytime

Answer:

-11

Step-by-step explanation:

coz

1-3= -2

-2-3= -5

-5-3= -8

-8-3= -11

Answer:

A. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant 25 lb, yes

Step-by-step explanation:

From the given problem, I gather that there are only two groups of forces. These are:

13 lb, 35 lb, resultant force 30 lb

20 lb, 15 lb, resultant force 25 lb

We use the pythagorean theorem to determine if the three forces are grouped correctly, such that the resultant force is the hypotenuse.

Resultant Force = √(a² + b²)

So, for the first group,

30 ? √(13² + 35²)

30 ≠ 37.33

Thus, the first group does not pull at right angles to each other.

For the second group,

25 ? √(20² + 15²)

25 = 25

Thus, the second group does pull at right angles to each other.

Answer:

27% to .27 to 27/100

Step-by-step explanation:

So you take your number 27 and remove your % sign then you put your decimal at the last number on your right like this 27. so to make a percent into a decimal you have to move it twice to the left. so it will look like this as a decimal .27 to make it into a fraction look at the placement it is in the hundredths place so 27/100

Answer:

0.27

Step-by-step explanation:

You have to divide 27 by a 100. So you make 27 as 27.00 then you divide it by 100 and it give you 0.27 hope this is right and helped

Answer:

2.07 miles

Step-by-step explanation:

If Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course, the difference in the distance run by Heather and Steph is 3/3 - 3/9 = 1 - 1/3 = 2/3

Since a 5k run race is 3.1 miles, Heather goes 2/3 × 3.1 miles = 6.2/3 miles = 2.07 miles more than Steph.

Answer:

3 toothpaste

Step-by-step explanation:

Tube of toothpaste : year

1/2 : 1/3

how much toothpaste would he use in one year

Tube of toothpaste : year

x : 1

Seductions

1/2 : 1/3 = x : 1

1/2 ÷ 1/3 = x / 1

1/2 × 3/1 = x/2

3/2 = x/2

x = 3/2 ÷ 1/2

= 3/2 × 2/1

= 6/2

x = 3 toothpaste

Answer:

its 1  1/2

Step-by-step explanation:

Find Warren's rate in tubes of toothpaste per year. Divide  

1

2

of a tube of toothpaste by  

1

3

of a year.

To divide by  

1

3

, multiply by its reciprocal, 3.

1

2

÷

1

3

=  

1

2

3

=  

13

2

Simplify.

13

2

=  

3

2

= 1

1

2

Warren used the toothpaste at a rate of 1

1

2

tubes per year. So, he would use 1

1

2

tubes in 1 year.

Answer:

Here's the proof

Step-by-step explanation:

tan(47°)/cot(43°)

=tan(90°-47°)/cot(43°)

=cot(43°)/cot(43°)

=1 (proven)

Answer:

Step-by-step explanation

Loll

Answer:

P = 68.95

Step-by-step explanation:

Here, we want to get the measure of angle P

Please check the attachment for the diagram of the triangle

To get P, we use the cosine rule

p^2 = m^2 + n^2 - 2mn Cos P

60^2 = 51.4^2 + 54.5^2 -2(51.4)(54.5) Cos P

2012.21 = 5602.6 Cos P

cos P = 2012.21/5602.6

cos P = 0.3592

P = arc cos 0.3592

P = 68.95