What type of parent function is this? What is the domain and range of this function? write it in interval notation

Answer:

The number of yellow skittles in the bag is 15 yellow skittles

Step-by-step explanation:

The ratio of yellow to blue skittles in the bag is 5:9

The number of blue skittles in the bag = 12 + The number of yellow skittles in the bag

From the ratio of yellow to blue skittles in the bag, we have;

Fraction of the total skittles that are yellow = 5/(5 + 9) = 5/14

Fraction of the total skittles that are blue = 9/14

Whereby placing the number of yellow skittles as Y, and the number of blue skittles as B we have;

The number of blue skittles = Y + 12

The total number of skittles = Y + Y + 12 = 2·Y + 12

Whereby the fraction of the total skittles that are blue = 9/14, we have

9/14 × (2·Y + 12)  = Y + 12

9 × (2·Y + 12) = 14 × (Y + 12)

18·Y + 108 = 14·Y + 168

18·Y - 14·Y = 168 - 108 = 60

4·Y = 60

Y = 60/4 = 15

∴ The number of yellow skittles in the bag = 15

The number of blue skittles is given as = Y + 12 = 15 + 12 = 27.

Answer:

150

Step-by-step explanation:

To find the area, you have to multiply by the length and width.  

L = 10

W = 15

15 x 10 = 150

Hope this helps! <3

Answer:

c = 150 + 20b

Step-by-step explanation:

Given:

Ticket charges = $150

Each bag carry cost = $20

Find:

Relationship between bag(b) and cost(c)

Computation:

⇒ Total cost = Ticket charges + $20(number of bags)

⇒ c = 150 + 20(b)

⇒ c = 150 + 20b

Answer:

Domain (-3, 4, 5)

Range (1, 2, 6)

Step-by-step explanation:

Domain is your x so all of the values that can go into a relation or function (which is your input) are called Domain. Domain is also all of the set of elements of ordered pair ( which is the x coordinates).

Range is your y so all the values that can go into a relation or function ( which is your output) are called Range. Range is also all the set of second elements of ordered pair ( which is the y coordinates).

So, basically you just look at all the number that come first so say you have

(1,2), (2,3), (3,4)

Your first numbers to each point are (1, 2, 3) which is your Domain

then look at the second number which are (2, 3, 4) which is your Range.

Hope this helps!

Answer:

-21 feet

Step-by-step explanation:

-30 + 9 = -21

Answer:

_______

-21 feet

_______

Answer:

58

Step-by-step explanation:

Let's draw this out (see attachment).

We know that since B lies on AC, we have the points in order from left to right: A, B, C.

AB = 9, which is the left portion. BC = 49, which is the right portion. Then AC is simply the sum:

AC = AB + BC = 9 + 49 = 58

The answer is thus 58.

~ an aesthetics lover

Answer:

The first one is 4,1 and then every input must be paired with exactly one output

Step-by-step explanation:

Answer:

The first one is 4,1 and then every input must be paired with exactly one output

Step-by-step explanation:

Answer:

its 10

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex](x) = (x - 2)² - 6

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = [tex]\sqrt{x+6}[/tex] + 2 ( subtract 2 from both sides )

y - 2 = [tex]\sqrt{x+6}[/tex] ( square both sides )

(y - 2)² = x + 6 ( subtract 6 from both sides )

(y - 2)² - 6 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = (x - 2)² - 6

Answer:

7/3

Step-by-step explanation:

17/12+11/12

28/12

=>7/3

Answer:

a0 = 10

Step-by-step explanation:

We simply want to isolate the variable, a0, so we can find the value in which satisfies this equation:

a0 + -7 = 3

a0 + -7 + 7 = 3 + 7

a0 = 10

Cheers.

Let's make an equation with the information given.

A 15% increase in a number means that the number was multiplied by 1.15.

[tex]1.15x=299[/tex]

[tex]x=260[/tex]

Hope this helps.

頑張って!

Answer:

260

Step-by-step explanation:

Let's call the number x.

When x is increased by 15% it is equal to 299. The number itself is 100%, so we should multiply x by 115%. Convert 115% to a decimal. Divide 115 by 100 or move the decimal place two spots to the right.

115/100= 1.15                                 or                        115.0 --> 11.5 --> 1.15

When x and 1.15 are multiplied they should equal 229. Set up an equation.

1.15x=229

We want to solve for x. Therefore, we must isolate x on one side of the equation. x is being multiplied by 1.15 The inverse of multiplication is division. Divide both sides of the equation by 1.15

1.15x/1.15=229/1.15

x=229/1.15

x=260

When 260 is increased by 15% the result is 299.

I3n+2I+4=0

3n+2+4=0

3n+2=0-4 = -4

3n+2= -4

3n= -4 - 2 = -6

3n= -6

n= -6/3

n=-2

Answer:

A) 34 clients

Step-by-step explanation:

From the information given, to be able to determine the number of business clients you have to calculate the 45 percent of the total number of clients that is 75:

75*45%= 33.75→ 34

According to this, the answer is that the number of business clients is 34.

Answer:

m = 14

p = 64

n = 32

Step-by-step explanation:

11m = 154

m = [tex]\frac{154}{11}[/tex]

m = 14

180 - p = 116

180 - 116 = p <- as you noticed, the negative sign changed to a positive one, cuz p moved to the other side of the equal sign.

64 = p

n + 86 = 118

n = 118 - 86

n = 32 <- same thing happened here, except the positive changed to a negative.

Answer:

Step-by-step explanation:

To find y when x=4, we must first find the relationship between them

The statement

y varies directly with x is written as

where k is the constant of proportionality

From the question

when y = 1/5

x = 3

Substitute the values into the above formula and solve

That's

So the formula for the variation is

From the question

when x = 4

Hope this helps you

Answer:

-31.32

Step-by-step explanation:

(–0.5)(–1.2)(–5.22)

6(-5.22)

=>-31.32

Answer:

84

Step-by-step explanation:

x=7 x=28

y=21 y=84

is simple ratio problem

Answer:

Answer: y = 21

Answer: y = 21 when x = 7

Answer: y = 21 when x = 7so x = 28

Answer: y = 21 when x = 7so x = 28 then y = 84

Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:

Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:y = 84 = 21 × 4

Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:y = 84 = 21 × 4x = 28 = 7 × 4

Answer:

X=3

C=12

Step-by-step explanation:

(2x+6)=c

2x+6

x=2/6

x=3

2x3+6=c

c=12

Answer:  

Isolate the variable by dividing each side by factors that don't contain the variable.

x= c/2-3

Answer: Open the image 1 wrote the numbers on top.

Step-by-step explanation:

Answer:

2 slices of pizza is sausage

Step-by-step explanation:

1/3 of pizza is 4 slices(pepperoni)

2/4 of pizza is 1/2 which is 6(chicken)

There are 12 slices in all so 12-(6+4) = 2 sausage

Answer:

If you are on a budget it depends if you want to purchase $50 or another amount, while if you want to fill up the gas tank it depends on the cars' capacity. Some cars can take up to 11 gallons of gas, so if wanting to fill up the tank you would need to spend $33.

Hope this helps!

Answer:

8

Step-by-step explanation:

Since you referred to a scale factor of 2/3, and the fact that the side of the larger figure is 3, we know that the ratio of the smaller figure to the larger figure is 2/3. We can then find that the corresponding side of the smaller figure is 8.

Answer:

The guy above me is right, it is 8!

Step-by-step explanation:

I got the answer correct.

Answer:

good question

Step-by-step explanation:

go to google i guess

Answer:

The one that was listed. Unlike the ones on this question.

Step-by-step explanation:

Have

a

good

day

:)

Answer:

1388.8888889

Step-by-step explanation:

First of all, this looks like a problem that is incomplete. You never gave the unit of how much water they supplied, and there is not supposed to be that many decimal places. Also, a foot is a term of measurement, not volume. However, if I assume that the unknown object supplied is cubic feet, it would be 1388.8888889 cubic feet per second.

Answer:

b.) 0.7%

best of luck!

Answer: d

Step-by-step explanation:

A = 18:25 = 1:1.39

B = 6:12 = 1:2

C = 10:18 = 1:1.8

D = 12:15 = 1:1.25

The smallest ratio is D.

sorry if it's wrong!

Answer:

Step-by-step explanation:

Answer:

14.42 m²

Step-by-step explanation:

S = 1/2bh ⇒

Gradient:

Area of slanted surface:

Answer:

14.42 m²

hope it helped:D