Write the recurssive formula. Clarissa is buying a homecoming dress onlayaway. The dress costs $185. She makes a down payment of $20 to put the dress on layaway and then makes weekly payments of $15. In how many weeks will the dress be paid off?

The inverse of g(x) is x² + 7

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

We have to find the inverse of the function below :

g(x) = √(x-7)

So after switching x and y,

g(x) = y = √(x - 7)

becomes

x = √(y - 7)

Now, we solve for y regularly.

g(x) = y = √(x - 7)

Solve for y :

⇒ y² = x - 7

⇒ x² = y - 7

⇒ y = x² + 7

Therefore the inverse of g(x) is x² + 7

Learn more about inverse function here:

brainly.com/question/2541698

#SPJ2

Answer:

Your first instinct might be to go ahead and add the x terms together, BUT this would be a bad thing to do! You cannot combine the x2 and 2x, because the first term has an exponent (2) and the second one does not have an exponent; therefore, you cannot add them together!

Step-by-step explanation:

Answer:

Not sure if you mean multiplying or adding by "combine". But generally the rule of thumb with exponents is when you are adding and they are not like terms, you cannot combine the two terms together. So in other words, they would be left as x²+x. However, when you are multiplying you can add the exponents together. So, it will be like this: x²·x = x³

Answer:

x ≈ 28.7 ft

Step-by-step explanation:

Step 1: Define variables

Height (vertical leg of triangle) = 2 ft

∅ = 4°

We are trying to find the length of the hypotenuse x

Step 2: Use trig

sin∅ = opposite over hypotenuse

sin4° = 2/x

Step 3: Solve for x

xsin4° = 2

x = 2/sin4°

x = 28.6712

x ≈ 28.7 ft

Answer:

the Length of ramp is 28.7 feet.

Step-by-step explanation:

see attached image for clarity

give:

height (h) of clinic = 2 feet

angle of ramp = 4°

find:

Length (L) of ramp

using the formula : sin(Ф) =                height (h)                    

                                              Length of ramp (hypothenuse)

plugin values into the formula:

sin (4) =    2    

               L

L   =    2    

      sin(4)

L = 28.7 feet

therefore,

the Length of ramp is 28.7 feet.

Answer:

23

Step-by-step explanation:

∠ABE=∠BEF=4x (AC║EF)

∠DBE=5x

∠DBF=180=∠DBE+EBF=5x+65

5x=180-65

x=23

Answer:

(18+2)x($1.35+$3.45)= $96

Could I please have BRAINLIEST.

Answer:

I think the answer is A

Step-by-step explanation:

Because you add both latitude (22.27+ -6.20) = -28.47 because a negative plus a positive equals a a negative then you add the longitude (114.15 -106.80) = 7.35 so the answer would be

-28.47 latitude and 7.35 longitude.

the answer would be C.)28.47 lat -7.35 long

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=[tex]\frac{p + fy}{K - c}[/tex]

Answer:

36

Step-by-step explanation:

Plug in -7 as m and 2 as n into the expression:

4 | m - n |

4 | -7 -2 |

Solve:

4 | -9 |

4(9)

= 36

Answer:

17 inches.

Step-by-step explanation:

Answer:

answer is 17 inches

Step-by-step explanation:

Answer:

Harry is 2, Jim is 6

Step-by-step explanation:

The first statement tells us they are 4 years part. Then you need to find two numbers that are 4 apart and that has one that is half the other, like 4 and 8. Finally, subtract two because this will happen in two years and you need their ages now.

Sorry if this was confusing.

Answer:

Step-by-step explanation:

It just so happens that all the numbers and variables in that expression are perfect squares. 4 has a square root of 2; 9 has a square root of 3; and b^6 has a square root of b^3. Putting that altogether into one simplified expression that we can square is:

[tex](\frac{2}{3}b^3)^2[/tex]

The expression as a square of a monomial (4/9b⁶) is  (2²/3²b³)²

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

A monomial is a polynomial that has only one term.

Given, a monomial (4/9b⁶).

To write this monomial in terms of as a square of a monomial we'll factor out the power of 2 from each f the constants and variables contained in the monomial which is,

= (2²/3²b³)²

learn more about polynomials here :

https://brainly.com/question/20121808

#SPJ2

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because 12 is greater than -5 and when you divide a postive and a negative you get a negative number. And negative numbers are less than 0 .

Answer:

the answer is c for the second one and the first one is A

Answer:

the answer is three hundred thousand

Answer:

round it to the nearest 10th?

Step-by-step explanation:

that's what I do at least.

Answer: Round up or down.

Step-by-step explanation: When you round up, look at the number to the right of the number you wanna round. If it’s less than 5, you round down, if it’s more than 5, you round up. On a number line, for ex. Let’s say you wanna round 550 to hundreds, 600 or 500, 600 would be the answer because 550 is more closer to 600 by default.

Answer:

Ran: 2.5hr

Biked: 1.5hr

Step-by-step explanation:

x = total hrs ran

y = total hrs biked

4 = total hours ran + biked

soo.....

x + y = 4hr

then you can convert that for solving y or x

Ex. x = 4-y or y = 4-x

Then just plug in either x or y

EQUATION: 5x + 13y = 32

Dont plug in both x or y at the same time. Pick one and solve

Answer:

r≤5

Step-by-step explanation:

Steps are in the photo. Hope this helps.

Answer:

4i

Step-by-step explanation:

I hope its not too complicated

[tex]\sqrt{-16} \\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{-a}=\sqrt{-1}\sqrt{a}\\\\\sqrt{-16}=\sqrt{-1}\sqrt{16}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\=\sqrt{16}i\\\\\sqrt{16}=4\\\\=4i[/tex]

Answer:

Step-by-step explanation:

Hello,

We know that

[tex]|x|=\begin{cases}x & \text{if } x\geq 0 \\ -x & \text{if } x<0 \end{cases}[/tex]

So we need to take into account two cases

Case 1 - [tex]x-3\geq 0<=> x\geq 3[/tex]

Then, |x-3|=x-3

||x-3|-2|=|x-3-2|=|x-5|

Either x-5 is positive and then |x-5|=x-5 and

[tex]|x-5|\leq 1<=>x-5\leq 1<=>x\leq 6[/tex]

Or x-5 is negative and then, |x-5|=-x+5

[tex]|x-5|\leq 1<=>-x+5\leq 1<=>4\leq x[/tex]

So the solution is [4;6]

Case 2 - [tex]x-3< 0<=> x< 3[/tex]

Then, |x-3|=-x+3

||x-3|-2|=|-x+3-2|=|-x+1|

Either -x+1 is positive and then |-x+1|=-x+1 and

[tex]|-x+1|\leq 1<=>-x+1\leq 1<=>0\leq x[/tex]

Or -x+1 is negative and then, |-x+1|=x-1

[tex]|-x+1|\leq 1<=>x-1\leq 1<=>x\leq 2[/tex]

So the solution is [0;2]

Conclusion

The solution is [0;2]∪[4;6]

Thanks

Area of a rectangle = w*l

w = width

l = length

In our problem,

Area = 105mi^2

l = x

w = x - 8

Let's plug our values into the formula above.

105mi^2 = x(x - 8)

Distribute the x

105mi^2 = x^2 - 8x

Subtract 105mi^2 from both sides.

0 = x^2 - 8x - 105

Let's factor the right side.

0 = (x - 15)(x + 7)

Set both terms equal to 0

x - 15 = 0

Add 15 to both sides.

x = 15

x + 7 = 0

Subtract 7 from both sides.

x = -7

Since the length cant be a negative number, 15 is the correct answer.

Length = x = 15 mi

Width = x - 8 = 15 - 8 = 7 mi

The length of the rectangle is 15 miles while the width is 7 miles.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

The perimeter of rectangle = 2( length + width).

Suppose the length is L while the width is W.

Area of rectangle = length × width.

L x W = 105

W = L - 8

By substitution,

L x (L - 8) = 105

L² - 8L - 105 = 0

L² - 15L + 7L - 105 = 0

L(L - 15) + 7(L - 15) = 0

(L + 7)(L - 15) = 0

L = -7, L = 15

Since length will not be negative thus L = 15 miles.

W = 15 - 8 = 7 miles

Hence "The length of the rectangle is 15 miles while the width is 7 miles."

For more about rectangles,

https://brainly.com/question/15019502

#SPJ2

Answer:

Multiplication

Step-by-step explanation:

Follow GEMDAS or PEMDAS. I would recommend GEMDAS. GEMDAS stands for Grouping symbols, exponents, multiply, divide, addition, subtraction. GO form the order G to S

Answer: Thumb drive, ROM, Hard-disk

Step-by-step explanation:

Answer:

12 + (8k) = 48

k= 9/2

Step-by-step explanation:

Answer:

east-56 a=+b 2squared

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume = Base * height

V=2(7 1/3)

V=44/3 OR 14 2/3  Or 14.666

Answer:

dhsfhb

Step-by-step explanation:

top secret

Answer:

Have a good day, dont see a picture?

Step-by-step explanation:

Answer:

70 degrees Fahrenheit

Answer:

70

Step-by-step explanation:

We started at 73 degrees and the temperature rose by 8 degrees so 73 + 8 = 81. At 4 pm, the temperature rose again by 5 degrees so 81 + 5 = 86. By 9 pm, the temperature dropped 16 degrees so 86 - 16 = 70, Therefore, the temperature at 9 pm was 70 degrees.

Answer:

vertical angles theorem

Step-by-step explanation:

Just took the test

Answer:

A. corresponding angles theorem

Step-by-step explanation: