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SpyIntel [72]
3 years ago
6

The total price of a shirt and a cap is $11. If the price of the shirt was doubled and the price of the cap was three times its

original price, the total price of a shirt and a cap would be $25. The following system of equations models this scenario:
x + y = 11
2x + 3y = 25

What is the price of each shirt and cap?


Price of a shirt is $9, and price of a cap is $2.


Price of a shirt is $10, and price of a cap is $1.


Price of a shirt is $8, and price of a cap is $3.


Price of a shirt is $7, and price of a cap is $4.
Mathematics
1 answer:
otez555 [7]3 years ago
5 0

Answer: Price of a shirt is $8, and price of a cap is $3.

Step-by-step explanation:

Got it on the test right.

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For which nonnegative value of x is the expression 5+x/25-x^2
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The table shows a linear function. <br>which equation represents the function?
Bas_tet [7]

Answer:

Option C is correct.

The equation f(x)= -\frac{1}{2}x +4 represents the function.

Step-by-step explanation:

Using slope intercept form to find the equation of line :

For any two points (x_1, y_1) and  (x_2, y_2) the equation of line is given by:

y -y _1 = m(x-x_1) ......[1] ;where m is the slope given by:

m = \frac{y_2-y_1}{x_2-x_1}

Consider any two points from table :

let (4, 2) and (0, 4) be any two points.

calculate slope:

m = \frac{y_2-y_1}{x_2-x_1}= \frac{4-2}{0-4}

m = \frac{2}{-4} = -\frac{1}{2}

Now, substitute in equation [1]  we have:

y - 2 = -\frac{1}{2} (x-4)

Distributive property i.e,  a\cdot (b+c) = a\cdot b + a\cdot c

y -2 = -\frac{1}{2}x +2

Add both sides 2 we get;

y -2+2 = -\frac{1}{2}x+2+2

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y = -\frac{1}{2}x+4

Since, y= f(x)

f(x)= -\frac{1}{2}x +4

therefore, the equation f(x)= -\frac{1}{2}x +4 represents the function.


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Q
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Answer:

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Step-by-step explanation:

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