if x=5, then 3x+4x-15 equals what

Answer:

x=2

Step-by-step explanation:

Just did the assignment

The given rational function, that is, (x² - 4 · x - 12) / (x-2), has no horizontal asymptotes but one vertical asymptotes at x = 2.

A rational function has a horizontal asymptote if and only if the limit exists for x tending to ±∞. Rational functions have a limit if and only if the grade of the denominator is equal to or greater than the grade of the numerator. A vertical asymptote exists for all values of x such that the denominator equals 0.

Based on these facts, we conclude that the given rational function has no horizontal asymptotes but one vertical asymptotes at x = 2.

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Answer:

4 children

Step-by-step explanation:

Let the number of children = c.

The cost of the pizza place for c children (without the fee) = 8c

The cost of the pizza place for c children (with the fee) = 8c+30

The cost of the taco place for c children (without the fee) = 12c

The cost of the taco place for c children (with the fee) = 12c+14

To find c when the totals are equal, set 8c+30 equal to 12c+14 and solve:

8c+30=12c+14

8c-12c=14-30

-4c=-16

c=4

Answer:

Step-by-step explanation:

20

The probability of red to small will be equal to 12 / 20.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

It is given that there are 20 blue numbers large are 17 and small are 3. Similarly, there are 20 red numbers large are 8 and small are 12.

The probability of getting a small red number will be calculated as below:-

Probability = Number of favorable outcomes / Number of sample

Number of favorable outcomes = 12

Number of samples = 20

Put the value in the formula above.

Probability = 12 / 20

Therefore, the probability of red to small will be equal to 12 / 20.

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Answer:

Base is 21

Step-by-step explanation:

I'm gonna be honest, just divide 336 by 16.

However just in case you meant volume instead of area because you said (bases), they would be 5 and 4.2

Answer:

Step-by-step explanation:

okay so if the centimeter is 3 you would multiply it by 6 cm and that

18 and then mulitiply that by 12 and your answer is

216

Answer:

F(4) = 21

Step-by-step explanation:

[tex]F(4)=4(4)+5\\F(4)=16+5\\F(4)=21[/tex]

Answer:

21

Step-by-step explanation:

F(X) = 4x + 5

One is asked to find (F(4)), substitute (4) in place of (x) and solve,

F(4) = 4(4) + 5

= 16 + 5

= 21

Answer:

1024

Step-by-step explanation:

4^8/4^3=4^8-3=4^5=1024

Answer:

23

Step-by-step explanation:

6x3=18

18+5=23

Answer

this is wrong

Step-by-step explanation:

this is an equation not an expression. Equations have = and expressions dont. Please rewrite this and I will help.

Answer:

58

Step-by-step explanation:

There would be 58 nickels and 42 dimes. This can be found out by

1. 100 - 16 = 84

2. 84/2 = 42

3. 42 + 16 = 58

making 42 dimes and 58 nickels.

Answer: $27.50

Step-by-step explanation: So first off you would subtract the service fee from the total amount to get $110.00 then you would divide that by four to get $27.50 per ticket.

Answer:

[tex]7\frac{7}{12}[/tex]

Step-by-step explanation:

Answer:

14 inches

Step-by-step explanation:

Since the rectangular prism has a square base, we know that the width and length are equal.

Using the formula for calculating the volume of a rectangular prism, we can set up an equation:

(width^2)*height = 980 cubic inches or

(width^2)*5 in. = 980 cubic inches, simplify the equation by dividing each side by 5 inches, and the result is:

width^2 = 196 sq.in., simply by taking the square root of each side of the equation, and the result is:

√width (inches) = √196 square inches = width = 14 inches

each side of the prism's base is 14 inches

Answer:

980 in

Step-by-step explanation:

Answer:

24 minutes

Step-by-step explanation:

The Dimensions of the wall are given as:

8ft × 5ft = 40ft² or 40 square feet

Step-by-step explanation:

Answer:

24 minutes

Step-by-step explanation:

8 * 5 = 40 ft²

---------------------------

Method I: Use a proportion

x/40 = 45/75

multiply both sides by 40

x = 45/75 * 40

x = 24

24 minutes

---------------------------

Method II: Use the rate

45/75 = 0.6min/ft²

40 * 0.6 = 24

24 minutes

Answer:

https://youtu.be/wmQMBJ_ce3k see this video

Answer:

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

~

Answer:

Step-by-step explanation:

The fact that the student does not have a brother either only means that you have chosen an only child. So there are 13 people that do not have a sister. The 13 comes from the bottom row. 9 + 4 = 13

What is the total number of people in the class? There must be 15 more who do have a sister.

15 + 13 = 28

So the answer should be 13 / 28 or 0.464

Answer:62

Step-by-step explanation:

Answer:

A. -1.8

Step-by-step explanation:

If x is the independent variable and y is the dependent variable, therefore constant of proportionality would be:

k = y/x

Using any pair of values from the table, we can find k. Let's use (3, -5.4):

k = y/x = -5.4/3

k = -1.8

Answer:

Down

Step-by-step explanation:

The "parent function" is  y = |x|, which opens up.

Changing the sign to y = -|x| flips (reflects) the graph over the x-axis, so the new graph opens down.  Adding 9 shifts the graph up 9 units, but that does not change the way the graph opens.

See the attached image.

y = |x| purple

y = -|x| black

y = -|x| + 9 red

Answer:

i think 648

Step-by-step explanation:

Area = Length times width

18 times 36 = 648

But It could be 3,240

18 times 36 times 5

Answer:

I think that there are 15 basketball players.

Step-by-step explanation:

If there is a ratio of football to basketball players of 7:5, and there are 21 football players. i just divide 21 by 7 and get 3. so if we multiply the 5 in the ratio by 3 we get 15. so I think the answer is 15. if not then ignore my answer. if so the brainliest please?

Lidal's price is better

Step-by-step explanation:

Lidal

4 for £2.04

1 for £2.04/4= £0.51= 51 p

Oldi

9 for £4.68

1 for £4.68/9= £0.52= 51 p

Lidal offers better price per roll

Step-by-step explanation:

sorry I don't know the answer

Answer: 3 Pounds

Step-by-step explanation: Limit = 30 - 6.50 / 2 = 3.25. Limit = 30, she wouldn't be able to go over 6.50 so it would be 3.

Answer:

88

A:J

8:3

a - 40 = j

8y - 40 = 3y

5y = 40

y = 8

8 *11 = 88

Step-by-step explanation:

Hope i helped!  have a nice day

Answer:

88

Step-by-step explanation:

I know this because I used a secret method my parents told me that I can't tell anyone.

Answer:

2,562

Step-by-step explanation:

8% of 4,200 is 366, 366×7=2,562

Hope This Helps!

Answer:

$160

Step-by-step explanation:

you replace h with 2 and then add 10 so the equation would look like 75 times 2 plus 10 then you would get 160

Answer:

24 (x + 2)

24x + 48

these are two ways to rewrite the expression

Answer:

24x+48

Step-by-step explanation:

Answer:

Step-by-step explanation:

n = nickels

d = dimes

q = quarters

1)  n + d + q = 39

n+d = q - 3

Translate to:  2)   n + d - q = -3

.05n + .1d + .25q = 6.7   amount of each coin times the number of coins must add to 6.7

Multiply both sides by 20...

3)  1n + 2d + 5q = 134

Combine 1) & 2)

n + d + q = 39

n + d  - q = -3

Add together

2n + 2d = 36

Divide by 2:

4)  n + d = 18

Combine 1) and 3)

n + d + q = 39         Multiply by -5 =>  -5n -5d -5q = -195

n + 2d + 5q = 134                              n + 2d + 5q = 134

Add together->                                 5)   -4n - 3d  = -61

Combine 4) and 5)

  n + d = 18   Multiply by 4 =>  4n + 4d = 72

-4n - 3d = 61                          -4n - 3d = -61

Add:                                               d = 11

11 dimes...

Plug that into 4)

n + 11 = 18

n = 18-11 = 7 nickels.

Plug that into 1.

n + d + q = 39

7 + 11 + q = 39

18 + q = 39

q = 39-18 = 21 quarters

21 quarters, 7 nickels, and 11 dimes.

21(.25) + 7(.05) + 11(.1) = 5.25 + .35 + 1.1 = 5.6 + 1.1 = 6.7   Check.

Answer:

[tex]\displaystyle 2[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = -2cos\:(\frac{\pi}{3}x - \frac{2}{3}\pi) + \frac{1}{2}} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow \frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2} \hookrightarrow \frac{\frac{2}{3}\pi}{\frac{\pi}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6} \hookrightarrow \frac{2}{\frac{\pi}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle \boxed{y = -2sin\:(\frac{\pi}{3}x - \frac{\pi}{6}) + \frac{1}{2}} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow \frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{6}}{\frac{\pi}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6} \hookrightarrow \frac{2}{\frac{\pi}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]

As you can see, the right-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -2cos\:\frac{\pi}{3}x + \frac{1}{2},[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will horisontally shift and map the graph onto the sine graph [photograph farthest to the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with your calculations. So, between the two photographs, we can tell that the cosine graph [centre right photograph] is shifted [tex]\displaystyle 2\:units[/tex]to the left, which means that in order to match the sine graph [photograph farthest to the left], we need to shift the graph FORWARD [tex]\displaystyle 2\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you get [tex]\displaystyle \boxed{2} = \frac{\frac{2}{3}\pi}{\frac{\pi}{3}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = -2cos\:(\frac{\pi}{3}x - \frac{2}{3}\pi) + \frac{1}{2}.[/tex]Intermediate, we have two sine graphs to deal with [centre left photograph and the photograph farthest to the left]. The left-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -2sin\:\frac{\pi}{3}x + \frac{1}{2}.[/tex]So, just like before, we need to figure out the appropriate C-term that will horisontally shift the graph back into position ["position", meaning shifting this sine graph back in plase (matching the sine graph in the photograph on the left)]. So, between the two photographs, we can tell that the left-centred sine graph is shifted [tex]\displaystyle \frac{1}{2}\:unit[/tex]to the left, which means that in order to match the leftward sine graph, we need to shift the graph FORWARD [tex]\displaystyle \frac{1}{2}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you get [tex]\displaystyle \boxed{\frac{1}{2}} = \frac{\frac{\pi}{6}}{\frac{\pi}{3}}.[/tex]So, when shifted back into original position, the sine graph is [tex]\displaystyle y = -2sin\:(\frac{\pi}{3}x - \frac{\pi}{6}) + \frac{1}{2}.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-2\frac{1}{2}, \frac{1}{2}],[/tex]from there to [tex]\displaystyle [3\frac{1}{2}, \frac{1}{2}],[/tex]they are obviously [tex]\displaystyle 6\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 6.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, and to be certain, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = \frac{1}{2},[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. Now... the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.