(5x² + 8x - 3) + (2x² - 7x + 13x)

Given :

The Learning Center charges a one-time fee of $26 plus $10 per piano lesson.

Guitar lessons have a one-time fee of $36 plus $8 for each lesson.

To Find :

After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar.

Solution :

Mathematical expression of piano lesson :

[tex]P_1=26+10x[/tex]

Mathematical expression of guitar lesson :

[tex]P_2=36+8y[/tex]

( Here, x and y are number of lessons )

Let, after t hours cost of learning to play piano be the same or more than learning to play guitar.

Now, given constraint :

[tex]P_1 \geq P_2\\\\26+10t \geq 36+8t\\\\2t \geq 10\\\\t\geq 5[/tex]

Hence, this is the required solution.

Answer:

The graph f(x)=[tex]-2(x+3)^2-4[/tex] is a reflection over the x-axis, vertical stretch by a factor of 2, a horizontal translation left 3 units and a vertical translation 4 units down of the graph y=[tex]x^2[/tex].

Step-by-step explanation:

The graph f(x) is reflected over the x-axis because the negative is outside of the parenthesis.

it's a vertical stretch by a factor of 2 because 2 is outside of the parenthesis and is greater than 1.

(x+3) is a horizontal translation left 3 units because it is inside the parenthesis.

-4 is vertical translation 4 units down because it is outside of the parenthesis.

Answer:

the answer is -153

Step-by-step explanation:

350-200(she paid off 200$)=150

150+23(she charged her account 23$)=173

173-35(she paid off 35$)=138

138+15(she charged her account 15$)=135

her new balance is -153$ because that is how much she has left to pay off before she reaches 0 then she can gain credit.

Answer:

n is less than or equal to 26

Step-by-step explanation:

I'm guessing you're asking for the inequality, and since a number (n) cannot be more than 26, it has to be less.

The question never said that n can't be 26, and it only said it can't be MORE than 26, so it's less than or equal to 26, so that's what I'm thinking

Answer:

Step-by-step explanation:

Answer:

-96

Step-by-step explanation:

-384 divided by 4 = -96

hope this helped!!

Answer:

-96

Step-by-step explanation:

If we use the "classic math" and do this like -394/4

we would get -96.

Or we can use a calculator and type -384 / 4 and get the same answer -96 (or unless you did your math incorrect)

High Hopes^^

Barry-

Example:

x^2 + 5x + 6 = 0

(x+3)(x+2) = 0 .... factor

x+3 = 0 or x+2 = 0 ... zero product property used here

x = -3 or x = -2 .... solve each equation for x

------

In general, the zero product property is that if A*B = 0, then either A = 0 or B = 0.

Answer:

Positive: As you move from left to right the line was increasing    /

- Negative: As you move from left to right the line was decreasing    \

- Undefined: A Vertical line    |

- Zero: A Horizontal line    -

Step-by-step explanation:

:)

Answer: {10, 13, 16, 19, 22, 25}

Step-by-step explanation:

Cab ride cost for first mile = $10

Additional mile cost = $3

Therefore, the following cab cost for different miles are analysed:

Cab ride cost for first mile = $10

Cab ride cost for second mile = $10 + $3 = $13

Cab ride cost for third mile = $10 + $3 + $3 = $16

Cab ride cost for fourth mile = $10 + $3 + $3 + $3 = $19

Cab ride cost for fifth mile = $10 + $3 + $3 + $3 + $3 = $22

Cab ride cost for sixth mile = $10 + $3 + $3 + $3 + $3 + $3= $25

Therefore, th domain of P(C) will be equal to {10, 13, 16, 19, 22, 25}

Answer: B) {10, 13, 16, 19, 22, 25}

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

It would be 5

Step-by-step explanation:

Hope this helps

have a good day :)

Answer: x=(c-k)/12

Step-by-step explanation:

So you're trying to find x, and in order to do that, you need x by itself. First, move k to the right side by subtracting k from both sides to get 12x=c-k. After that, you divide 12 for both sides to get x=(c-k)/12. It looks like this: [tex]\frac{c-k}{12}[/tex]

Answer:

26.12

Step-by-step explanation:

Answer: 26.1

Step-by-step explanation: 20 + 6 + 0.03 + 0.09 = 26. 1

Answer:

Y= - 3/x+2/3

Step-by-step explanation:

Answer:

y=2x-9/3x

Step-by-step explanation:

hope that helps :)

Answer:

-$300

Hope this helps : )

Answer:

$300 out of account

Step-by-step explanation:

withdrawals are taking out the money

6*50=300

so she takes out 300 dollars from her account

Answer:

x³ - 4x² - 16x + 24

Step-by-step explanation:

Step 1: Write expression

(x - 6)(x² + 2x - 4)

Step 2: Distribute each term

x³ + 2x² - 4x

-6x² - 12x + 24

Step 3: Combine

x³ + 2x² - 4x - 6x² - 12x + 24

Step 4: Combine like terms

x³ - 4x² - 16x + 24

Answer:

D

Step-by-step explanation:

because you want to find the sum of the amount.

Answer:

Same-side interior angle

Step-by-step explanation:

add up to 180 degree

Answer:

Acute angle

Correct me if wrong but that's what I know

Answer:

$23.64

Step-by-step explanation:

Answer:

B. [tex]\frac{-3}{4}[/tex]±[tex]\frac{\sqrt{41} }{4}[/tex]

Step-by-step explanation:

First, substitute the equation into the quadratic formula.

[tex]x=\frac{b+-\sqrt{(b^{2} )-4(a)(c)} }{2a}[/tex]

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

Solve for x.

x= [tex]\frac{-3+-\sqrt{9+32} }{4}[/tex]

x=[tex]\frac{-3+-\sqrt{41} }{4}[/tex]

The answer is x= [tex]-\frac{3}{4}[/tex]±[tex]\frac{\sqrt{41} }{4}[/tex]

Answer:

I'm not quite sure if this is correct, but If the given values are our X's or the inputs, then yes it would be a function as they're all different numbers.

Answer:

W times H

Step-by-step explanation:

Answer:

idk

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

a and c are the same angles so 73+73=146

then you subtract 180-146=34 and 5 times 6 is 30 then plus 4 and get 34

therefore x=34 degrese

Answer:

Please see the attached diagram which shows the data presented as a distance time graph

Step-by-step explanation:

The given time and distance traveled table can be presented as follows;

Time [tex]{}[/tex]                      Distance travelled from starting point

9:00 AM [tex]{}[/tex]                       0 km

10:00 AM [tex]{}[/tex]                     15 km

11:00 AM [tex]{}[/tex]                      25 km

12:00 PM [tex]{}[/tex]                      35 km

1:00 PM [tex]{}[/tex]                        40 km

Therefore, the best type of graph to represent the data is a scatter plot with straight lines that also show the locations of the points on the graph, presented in the form distance time a distance time graph as shown in the attached diagram

Answer:

5 y (y^2 - 2 y + 15)

Step-by-step explanation:

Factor the following:

-(-5) y^3 - 10 y^2 + 75 y

Hint: | Multiply -1 and -5 together.

-(-5) = 5:

5 y^3 - 10 y^2 + 75 y

Hint: | Factor common terms out of 5 y^3 - 10 y^2 + 75 y.

Factor 5 y out of 5 y^3 - 10 y^2 + 75 y:

Answer: 5 y (y^2 - 2 y + 15)

Answer:

The answer is p  =  − 26

Step-by-step explanation:

Answer:

P=-26

Step-by-step explanation:

6 - 2p - 17 = 41

- 11 - 2p = 41

-2p = 41 + 11

-2p = 52

p = -26