Henri brought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit? Select three options.

If the selling price is marked up by 25 percent, the new price will be $10.


If the selling price is marked up by 40 percent, the new price will be $7.50.


If the selling price is marked up by 55 percent, the new price will be $5.50.


If the selling price is marked up by 70 percent, the new price will be $13.60.


If the selling price is marked up by 75 percent, the new price will be $14.

Answer: 895 phones

Step-by-step explanation:

Given that :

The function : y = 1.28e^1.31x ; is used to model the number of camera phones shipped since 1997

y = number of camera phones ; x = number of years since 1997

The number of camera phones shipped in the year 2002 can be obtained thus ;

x = 2002 - 1997 = 5 years

y = 1.28e^(1.31 * 5)

y = 1.28e^6.55

y = 1.28(699.24417)

y = 895.03254

y = 895 phones

Answer and Step-by-step explanation: Area of a right triangle, (as any other triangle), is calculated as:  [tex]A1=\frac{(base)(height)}{2}[/tex]

Area of a rectangle is calculated as: [tex]A2=(side)(side)[/tex]

Area of a right trapezoid is: [tex]A3=\frac{(a+b)h}{2}[/tex], where:

a is short base

b is long base

h is height

1) Expressing areas in terms of x:

Area of triangle S1:

[tex]S1=\frac{(2x-3)(4x-6)}{2}[/tex]

[tex]S1=4x^{2}-12x+9[/tex]

Area of rectangle S2:

[tex]S2 = (4x-6)(3x-2)[/tex]

[tex]S2=12x^{2}-26x+12[/tex]

Area of trapezoid S3:

[tex]S3=\frac{(2x+3+4x+1)(2x-3)}{2}[/tex]

[tex]S3=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]S3=6x^{2}-5x-6[/tex]

2) a) [tex]S=4x^{2}-12x+9+12x^{2}-26x+12-(6x^{2}-5x-6)[/tex]

[tex]S=4x^{2}-12x+9+12x^{2}-26x+12-6x^{2}+5x+6[/tex]

[tex]S=10x^{2}-33x+37[/tex]

Which is the same as S = (2x-3)(5x-9)

b) For the areas to be the same:

[tex]\frac{(3x-2+3x-2+2x-3)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]\frac{(8x-7)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12[/tex]

[tex]20x^{2}-66x+54=0[/tex]

Using Bhaskara to solve the second degree equation:

[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.54)} }{2(20)}[/tex]

[tex]x_{1}=\frac{66+6}{40}[/tex] = 1.8

[tex]x_{2}=\frac{66-6}{40}[/tex] = 1.5

For the areas of AFGC and ADEB to be equal, x has to be 1.5 or 1.8.

c) Expand a polynomial (or equation) is to multiply all the terms, remiving the parenthesis. Reduce a polynomial (or equation) is to combine terms alike,e.g.:

[tex]S=(2x-3)(5x-9)[/tex]

[tex]S=10x^{2}-18x-15x+27[/tex] (expand)

[tex]S=10x^{2}-33x+27[/tex] (reduce)

d) For area of AFCG to be bigger than area of ADEB by 27:

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12+27[/tex]

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x+15[/tex]

[tex]20x^{2}-66x+27=0[/tex]

Solving:

[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.27)} }{2(20)}[/tex]

[tex]\frac{66+46.86}{40}[/tex]

[tex]x_{1}=\frac{66+46.86}{40}=[/tex] 2.82

[tex]x_{2}=\frac{66-46.86}{40}[/tex] = 0.48

According to the enunciation, x cannot be less than 1.5, then, the value of x so that area AFGC exceeds the area ADEB by 27 is 2.82

Answer:

[tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Given

sin(- 240°)

To obtain the positive angle measure add 360°, equivalent to one full revolution about the origin, then

ain(- 240°)

= sin(- 240 + 360)°

= sin120°

= sin( 180 - 120)°

= sin60°

= [tex]\frac{\sqrt{3} }{2}[/tex]

Answer:

what?

Step-by-step explanation:

Answer:

please see it my step solution work

Answer:

D. 12x³ + 32x - 8

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x³ + 8x - 2

k(x) = 4x

k(f(x)) is x = f(x)

Step 2: Find k(f(x))

45 Answer:

Step-by-step explanation:45

Answer:

45

Step-by-step explanation:

5x9=45

How to get that answer it to count by 5's.

5, 10, 15, 20, 25, 30, 35, 40, 45.

Another way to get there is to count by 9's

9, 18, 27, 36, 45.

Answer:

E that's the answer if reflected it'd look like a mirror image

Answer:

The answer is E

Step-by-step explanation:

Step-by-step explanation:

here,

x1= -5. x2=4

y1= -22. y2=r

slope(m)=3

now we have,

m=(y2-y1)/(x2-x1)

or,3=(r-(-22))/(4-(-5))

or,3=(r+22)/(4+5)

or,3=(r+22)/9

or,27=r+22

or,r=27-22

or,r=5

Answer:

x=-7

if you were to simplify and do all the correct steps then you would be able to get the correct answer and I hope this helps you

Answer:

Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise?Step-by-step explanation:

Answer: 3x - 3

Step-by-step explanation:

Each bag contained x counters and there are 3 bags.

He removes one counter from each of the 3 bags so the expression for the counters in each bag is now;

= x - 1

As there are 3 bags, the expression is;

= 3 * ( x - 1)

= 3x - 3

Answer:

a = 49°

Step-by-step explanation:

Answer: 49

Step-by-step explanation: 180-82-49= 49

Answer:

6  1/4

Step-by-step explanation:

Answer:

I think B

Step-by-step explanation:

Uhh

Answer: For an oblique or acute triangle sure but not a right triangle

Step-by-step explanation: I guess the sides would work on a regular non right triangle but Pythagorean theorom doesn't work here so the sides don't work for a right triangle

Answer:

Step-by-step explanation:

since the two smaller numbers don't add up to more than the bigger they can. but not a right triangle   :|

Answer:

11    n+7=18

31    n-9=22

7      5xm=35

50    m/5=10

15     18+s=33

17     40-s=23

3      27=9xs

6      18/s=3

5       m+m+12=22

2       m+14=18-m

Step-by-step explanation:

11: n+7=18

7: 5 x m =35

50: m/5 = 10

17: 40-s=23

3: 27= 9 x s

6: 18/s = 3

5: m+m+12 = 22

2: m+14 = 18-m

hope this helps!! :)

Answer:

Step-by-step explanation:

f(x)=-x+6

f(x+3)=-(x+3)+6=-x-3+6=-x+3

Answer:

f(x + 3) = -x + 3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -x + 6

f(x + 3) is x = x + 3

Step 2: Evaluate

More likely a line graph

Answer:

line graph

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

T= y+ 3y-7  

Step-by-step explanation

I'm pretty sure you can also write T= 4y-7 as a simplified form of the equation

The formula for T in terms of y can be written as;

T= y+ 3y -7  

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that Dawn is y years old.

So, Rashid is three times as old as Dawn means R = 3y

Hugo is seven years younger than Dawn means H = y - 7

The total of Dawn's age, Rashid's age and Hugo's age is T years.

We can also write T= 4y-7 as a simplified form of the equation

Learn more about equations here;

https://brainly.com/question/25180086

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