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Hatshy [7]
2 years ago
10

Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charg

es a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
How many classes would Gina need to take for the total cost to be the same at both dance studios?
Mathematics
1 answer:
fomenos2 years ago
4 0

Answer:

10 classes

Step-by-step explanation:

Given equations in the question

Dance World: y = 15x

Toe Tappers: y = 25 + 12.5x

Where,

x = number of classes

Equate the total cost at both dance studios

15x = 25 + 12.5x

Collect like terms

15x - 12.5x = 25

2.5x = 25

Divide both sides by 2.5

2.5x / 2.5 = 25 / 2.5

x = 10 classes

x = number of classes = 10

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iVinArrow [24]
Hi here’s the answers hope this helps

5 0
2 years ago
according to the fundemental theorem of algebra, how many roots exist for the polynomial function? f(x) = (x^3-3x+1)^2
Svetradugi [14.3K]

Answer:

6

Step-by-step explanation:

First, we can expand the function to get its expanded form and to figure out what degree it is. For a polynomial function with one variable, the degree is the largest exponent value (once fully expanded/simplified) of the entire function that is connected to a variable. For example, x²+1 has a degree of 2, as 2 is the largest exponent value connected to a variable. Similarly, x³+2^5 has a degree of 2 as 5 is not an exponent value connected to a variable.

Expanding, we get

(x³-3x+1)²  = (x³-3x+1)(x³-3x+1)

= x^6 - 3x^4 +x³ - 3x^4 +9x²-3x + x³-3x+1

= x^6 - 6x^4 + 2x³ +9x²-6x + 1

In this function, the largest exponential value connected to the variable, x, is 6. Therefore, this is to the 6th degree. The fundamental theorem of algebra states that a polynomial of degree n has n roots, and as this is of degree 6, this has 6 roots

3 0
2 years ago
-57 + 57 I really need the answer
3241004551 [841]

Answer:

The answer is 0

Step-by-step explanation:

-57 cancels out 57 making it 0.

3 0
9 months ago
Read 2 more answers
Karl is putting a frame around a rectangular photograph. The photograph is 14 inches long and 10 inches wide, and the frame is t
Sergeu [11.5K]
<h2>The area of the framed photograph = 1156 inch^{2}</h2>

Step-by-step explanation:

Given,

The length of photograph (l) = 14 inches and

The breadth of photograph (b) = 10 inches

To find, the area of the framed photograph = ?

We know that,

The area of the framed photograph = (l + 2b)(l + 2b)

= (14 + 2 × 10) (14 + 2 × 10) inch^{2}

= (14 + 20) (14 + 20) inch^{2}

= (34) (34) inch^{2}

= 1156 inch^{2}

∴ The area of the framed photograph = 1156 inch^{2}

8 0
3 years ago
What percent of 23 is 51 ?
krek1111 [17]

Answer:

I think its 45.1

Step-by-step explanation:

You can go online to the percent calculator and look.

8 0
2 years ago
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