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vodka [1.7K]
3 years ago
5

Show that 5(3y-2)=15y-10 for at least 5 values of y

Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0
<span>Solving the equation for Y = 1. 5 * (3 * 1 - 2) = 15 * 1 - 10 5 * (3 - 2) = 15 -10 5 * 1 = 5 5 = 5 Solving the equation for Y = 2. 5 * (3 * 2 - 2) = 15 * 2 - 10 5 * (6 - 2) = 30 -10 5 * 4 = 20 20 = 20 Solving the equation for Y = 4. 5 * (3 * 4 - 2) = 15 * 4 - 10 5 * (12 - 2) = 60 -10 5 * 10 = 50 50 = 50 Solving the equation for Y = 8. 5 * (3 * 8 - 2) = 15 * 8 - 10 5 * (24 - 2) = 120 -10 5 * 22 = 110 110 = 110 Solving the equation for Y = 9. 5 * (3 * 9 - 2) = 15 * 9 - 10 5 * (27 - 2) = 135 -10 5 * 25 = 125 125 = 125 This proves that the equation holds good for at least 5 values of 'y', which are 1, 2, 4, 8 and 9. However, it can be proved that the equation holds good for any value of y. Expression 5(3y-2) can be simplified to 15y -10 which is the same expression on the right had side of the equation provided. So, equation 5(3y-2)=15y-10 is actually 15y-10=15y-10 and since this is true for all values of y, it has been proved that it is true for at least 5 values of y.</span>
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aleksandrvk [35]

Answer:

55 Southern deliveries.

Step-by-step explanation:

Let's make a ratio

Northern : Central : Southern : Total

    14        :     44     :       22      :   80

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    35        :     110     :      55      :  200

We can see from our ratio, that there are 55 Southern deliveries when 200 deliveries are delivered.

4 0
3 years ago
Which of the following types of symmetry does the graph of the equation r=6sin 5 theta have?
Ivenika [448]

Answer:

B

Step-by-step explanation:

Plot the graph of the equation r=6\sin 5\theta on the polar coordinate plane (see attached diagram for details).

A. There is no symmetry about the horizontal axis, because three parts of the graph are above the axis and two parts of the graph are under the axis.

B. There is  symmetry about the vertical axis, because if you reflect left (or right) part about the vertical axis it will coincide with the other part.

C. There is no symmetry about the pole (see diagram)

D. This option is false, because option B is true (there is axis of symmetry)

6 0
3 years ago
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Solve the equation.
Vika [28.1K]

Hey there!!

Equation given :

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Hope my answer helps!!

8 0
3 years ago
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