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r-ruslan [8.4K]
4 years ago
9

Suppose y varies directly as x and y=21 when x=7. which is an equation relating x and y

Mathematics
1 answer:
astra-53 [7]4 years ago
8 0
Y varies directly as x: y=kx, k is a constant.
when x=7, y=21, so we know k=3
therefore, the equation is y=3x
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eimsori [14]

Answer:

The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.

Step-by-step explanation:

Let the cost of 1 pound of meat be x

Let the cost of 1 pound of cheese be y

Cost of 4 pounds of meat = 4x

Cost of 5 pounds of cheese = 5y

Since we are given that one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50.  

So, equation becomes :

Cost of 11 pounds of meat = 11x

Cost of 14 pounds of cheese = 14y

Since we are given that a sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50.

So, equation becomes :

Thus the system of equations are :

-1   (Red line)

-2   (Black line)

Solving these equations graphically we get the solution

x = $4.5

y = $2.5

Hence The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.

5 0
3 years ago
The graph below shows the price, y, in dollars, of different amounts of granola, x, in pounds:
KATRIN_1 [288]
Y=4x. its 4 bucks for each pound of granola
5 0
4 years ago
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What is the discriminant of the quadratic equation 2x² - x - 3=0?
Tamiku [17]

The given quadratic equation is

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comparing with

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We get ,

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formula :

D =  {b}^{2}  - 4ac \\  \\ D =  {( - 1)}^{2}  - 4 \times 2 \times ( - 3) \\  \\ D = 1 - ( - 24) \\  \\D  = 1 + 24 \\  \\D  = 25.

Discriminant of given quadratic equation is 25 .

option (B) 25 ✔

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Zanzabum
105 cats are in the shelter as 1 = 21 x 5
7 0
4 years ago
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