Cost of an MP3 player: $59.95 Markup: 9%​

Answer: x^2+x-12 = 0 ⇒ x = -4 or x = 3 and x^2-6x+9 = 0 ⇒ x= 3

x^2+x-12 = 0 (Find two numbers that add to 1 and multiply to -12)

x^2-3x+4x-12 = 0 (Factor out like terms)

x(x-3)+4(x-3) = 0 (Group common terms)

(x-3)(x+4) = 0 (Set each term to equal 0 and solve for x)

∴ x = -4 or x = 3

x^2-6x+9 = 0 (It's a perfect square trinomial)

(x-3)^2 = 0

∴ x = 3

Answer: x = -4 and x = 3 for the first one. x- 3 for the second one.

Step-by-step explanation:

big brain time

Given :

A 7-inch candle burns at a rate of 2 inches an hour.

To Find :

An equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns.

Solution :

We know, linear equation is given by :

[tex]y = mx + c[/tex]

At x = 0 -> y = 7

So,

7 = m(0) + c

c = 7       .....1 )

At x = 1 -> y = 5

So,

5 = m(1) + c

c + m = 5   .....2 )

Solving equation 1 and 2 , we get :

m = -2 and c = 7

Therefore, equation is given by y = -2x + 7 .

Hence, this is the required solution.

Answer:7–2x

Step-by-step explanation: you are subtracting 7 from 2 hours /x

Answer:

D

Step-by-step explanation:

ANY THING X 0 IS 0

Answer:

0

Step-by-step explanation:

zero divide any number is zero

Answer:

Error in step (5)

Step-by-step explanation:

Steps                             Statements

    1                            cos(2x) = 2cosx - 1

    2                           Let (2x) = θ

    3                           Then x = [tex]\frac{\theta }{2}[/tex]

    4                           cos(θ) = [tex]2\text{cos}^2{\theta}-1[/tex]

    5                           cos(θ) + 1 = [tex]2\text{cos}^2{\frac{\theta}{2}}[/tex]

    6                            [tex]\frac{1+\text{cos}\theta }{2}=cos^{2}\frac{\theta }{2}[/tex]

    7                            [tex]\text{cos}^{2}\frac{\theta }{2}=\frac{1+\text{cos}\theta }{2}[/tex]

    8                            [tex]\text{cos}(\frac{\theta }{2})=\pm \sqrt{\frac{1+cos(\theta)}{2} }[/tex]

By comparing the solution given in the picture attached with the solution above,

Step 5 has error.

There should be [cos(θ) + 1 = [tex]2\text{cos}^2({\frac{\theta}{2}})[/tex]] in place of [-1 + cos(θ) = [tex]2\text{cos}^2({\frac{\theta}{2}})[/tex]]

Answer:

C. Step five

Step-by-step explanation:

got it right on edge :)

Answer: You move the decimal to the right for the dividend and divisor.

Step-by-step explanation:

Answer:

x=0.1

Step-by-step explanation:

2x+1+=19

19-1=18

2x=18

2/18=0.1

x=0.1

Answer:

x= 9

Step-by-step explanation:

First I would subtract the 1 from 19 which leaves me with 18 then divide both sides by 2 so 2x/2 = 18/2 which gives me 9 now to check. 2 multiplied by 9 =18 plus 1 =1 9. and thats how I get the answ.r

Answer: The answer is 13

Step-by-step explanation:

Hopefully I'm right, sorry if it's wrong..

Answer:

Step-by-step explanation:

let the total cost be y

and the number of minutes be m

Plan A

$20 and additional 6cent

6cent to dollar =$0.06

the linear expression is given as

y=20+0.06m---------1

Plan B

$31.5 and additional 4cent

6cent to dollar =$0.04

the linear expression is given as

y=31.5+0.04m----------2

Equating 1 and 2 we can find m

20+0.06m=31.5+0.04m

20-31.5=0.04m-0.06m

-11.5=-0.02m

m=11.5/0.02

m=575

therefore m>575

Answer:

The inequality notation is x >= 2 (put the line underneath >)

Number line should have a filled in dot on the 2, with an arrow pointing to the right infinitely.

Explanation:

14 + 8x >= 30

8x >= 16

x >= 2

>= is just this symbol (>) with a line underneath it.

Hope this helps!

Incomplete question:

A fair die is rolled one. What is P(roll less than 4)? If necessary, round your answer to 2 decimal places.

Answer:

P(roll less than 4) = 0.50

Step-by-step explanation:

First, we need to list the sample space.

[tex]S = \{1,2,3,4,5,6\}[/tex]

From the above, we have that:

[tex]n(S) = 6[/tex] i.e. total rolls

Represent Rolls less than 4 with L4; So,

[tex]L4 = \{1,2,3\}[/tex]

[tex]n(L4) = 3[/tex] i.e. number of rolls less than 4

The required probability is calculated as:

[tex]Probability = \frac{n(LA)}{n(S)}[/tex]

[tex]Probability = \frac{3}{6}[/tex]

[tex]Probability = 0.50[/tex]

Answer: 0.50

Step-by-step explanation: Khan academy

Given:

One solution to a quadratic equation is [tex]x=-\dfrac{5}{3}[/tex].

To find:

The true statement about remaining solutions.

Solution:

We know that, number of solution to a quadratic equation is 2.

According to the complex conjugate root theorem, if a complex number x+iy is a root of an equation then its conjugate x-iy is also a root of that equation.

It means, the complex roots are in the pair of two.

Using complex conjugate root theorem, a quadratic equation has either 0 complex roots or 2 complex roots.

One solution to a quadratic equation is [tex]x=-\dfrac{5}{3}[/tex], which is real.

There are no complex solutions and there is exactly one more real solution.

Therefore, the correct options are A and E.

Answer:

2

Step-by-step explanation:

if she has 3 dogs and each gets a pound of food. Each can if food has .75 pounds in it then you would times that by then you would get 4 cans of food.

Shawna wants to leave 1 pound of food per dog, and she has 3 dogs. So, she needs 3 pounds of food in total.

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

A can of dog food has 0.75 pounds of food.

To determine the number of cans of food Shawna should leave, divide the total amount of food she needs (3 pounds) by the amount of food in each can (0.75 pounds).

⇒ 3 pounds / 0.75 pounds/can = 4 cans of food.

Therefore, Shawna should leave 4 cans of food for her 3 dogs.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ5

Answer:[tex](-7-2)=-3(-3-0)[/tex]

Step-by-step explanation:

First use slope intercept form to find the value of b (the y intercept). The slope intercept formula is

[tex]y=mx+b[/tex]

Since we are given the point (-3,2), we can say that y=2 and x=-3. m=-3. Then we get

[tex]2=-3(-3)+b[/tex]

[tex]2=9+b[/tex]

[tex]b=-7[/tex]

Since we now have the y intercept, we can convert it to a point: (0,-7). Plug this into the point slope equation:

[tex](y_{1}-y_{2})=m(x_{1}-x_{2})[/tex]

Our first point is (-3,2). Our second point is (0,-7). Therefore:

[tex]x_{1}=-3\\y_{1}=2\\x_{2}=0\\y_{2}=-7\\m=-3[/tex]

Plugging into the equation, we get

[tex](-7-2)=-3(-3-0)[/tex]

Answer:

A

Step-by-step explanation:

Answer:d

Step-by-step explanation:

Answer:

2 is the correct answer yes

2b + 3

Step-by-step explanation:

Combine like terms

7b -9b = -2b

-2b +4b =2b

2b +3 = 2b+3

Answer:

table will be 7, 11, 15,19

Order pairs will be (1,7)(2,11)(3,15)(4,19)

the fifth term of the sequence will be 23

Step-by-step explanation:

4 (1)+3=7

4(2)+3=11

4(3)+3=15

4(4)+3= 19

4(5)+3=23

Hope this helps

Answer:

$3.50

Step-by-step explanation:

Answer:

He would walk 20 miles in 5 hours.

Step-by-step explanation:

Mo walked 20 miles in 5 hours.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Mo walked 12 miles in 3 hours.

In 1 hour Mo walked= 12/3

                               = 4 miles

and, in 5 hours Mo walked

= 5 x 4

= 20 miles.

Hence, Mo walked 20 miles in 5 hours.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

what is the question

Step-by-step explanation:

Answer:

7.20

Step-by-step explanation:

12/5=2.4

2.4 for lb of apples

2.4*3=7.2

Answer:

$7.20 for 3 pounds

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

Supplementary angles means that angle A and angle B added together equal 180˚. This mean we can re-write the angle measures into an algebra problem

A(3x+16) + B(2x + 4 ) = 180

Or

5x + 20 = 180

5x + 20 - 20 = 180 - 20

5x = 160

5x/5 = 160/5

x = 32

Now that we know that X = 32, we can plug 32 into the measure of angle A.

A(3x+16)

A(3(32)+16)

A(96+16)

A(112)

Angle A equals 112˚ and Angle B equals 68˚.

Answer: this is the answer

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

1350/100=13.5

Answer:

13.5 gallons

Step-by-step explanation:

you divide basically I don't know how to explain but that's the answer

Answer:

40 minutes

Step-by-step explanation:

Time at which Aaron gets home from school = 4:30 PM

Bedtime for Aaron = 9:00 PM

Total available for Aaron = 9:00 - 4:30 = 4 hr 30 minutes

To convert minutes to hours, we need to divide by 60.

Time spent in playing football = 90 minutes = [tex]\frac{90}{60} = 1\ hr\ 30\ minutes[/tex]

Time spent eating dinner = 35 minutes

Time spent in doing homework = 1 hr 45 minutes

Total time spent = 1 hr 30 minutes + 35 minutes + 1 hr 45 minutes = 2 hr 110 minutes = 3 hr 50 minutes

Time left for Aaron to play video games = 4 hr 30 minutes - 3 hr 50 minutes = 40 minutes

Answer

d.?

Step-by-step explanation:

Answer:

y = -13

Step-by-step explanation:

-22 = y - 9

y = -22 + 9

y = -13

Hope this helps!

Answer:

y= -13

Step-by-step explanation:

Isolate the y by adding 9 on each side: -13 = y

Answer: y = -13

I hope this helped, please mark Brainliest, thank you!

Answer: (5x² +3) (5x² - 9)

Plz mark brainliest:)

Answer:

[tex](5x^2+3)(5x^2-9)[/tex]

Step-by-step explanation: