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tigry1 [53]
3 years ago
15

You have $44 to spend at the music store. Each cassette tape costs $10 and each CD costs $12. Write a linear inequality that rep

resents this situation. Let x represent the number of tapes and y the number of CDs
Mathematics
2 answers:
Alinara [238K]3 years ago
4 0
10x + 12y <44 is the answer
Reptile [31]3 years ago
3 0

Answer:

12x + 10y ≤ 44

Step-by-step explanation:

They missed the dash but here u go guys!Good luck!

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A quadratic equation is shown below:
sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

3x^{2}-11x+10=0 has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

\frac{d}{dx}(3x^{2}-11x+10)=6x-11

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}

6 0
3 years ago
a calculator is listed for $110 and is on clearence for 35% off. sales tax is 7%. what is the cost of the calculator
goldfiish [28.3K]

Answer:

$76.51

Step-by-step explanation:

The price after discounting is (1.00 - .35)($110), or 0.65($110) = $71.50.

The price after 7% sales tax has been added in is

(1.00 + 0.07)($71.50) = $76.51.

6 0
3 years ago
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The function:f ( x ) = x * 0.965^twhere x is the initial amount and t is the number of the years80 = x * 0.965^380 = x  *  0.89632x = 80 : 0.89632 ≈ 89Answer:The initial amount of animals was 89.
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3 years ago
Kristen is creating a rectangular garden in her back yard. The length of the garden is 13 feet. The perimeter of the garden must
Ira Lisetskai [31]
So what’s the question?
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Let f(x)=2(4)x+1−2. The graph of f(x) is translated 7 units to the left to form the graph of g(x).
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This is what the following graph would look like:

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