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babymother [125]
3 years ago
13

1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the v

alues for each coordinate pair, and validated the points were on the line. Work for Point 1 Work for Point 2 Work for Point 3 Work for Point 4

Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0

Answer:

We have the equation:

3x - 5y = 15

a) We want to create a table with at least 4 points.

To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.

5y = 3x - 15

y = (3/5)*x - 3.

Then we have a linear equation.

Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.

x = 0.

y = (3/5)*0 - 3

y = -3

Then we have the point (0, -3).

x = 1.

y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5

y = -12/5

Then we have the point (1, -12/5)

x = 5

y = (3/5)*5 - 3 = 3 - 3 = 0

y = 0

then we have the point (5, 0)

x = 10

y = (3/5)*10 - 3 = 6 - 3 = 3

y = 3

Then we have the point (10, 3).

Now we can create the table

\left[\begin{array}{ccc}x&y\\0&-3\\1&-12/5\\5&0\\10&3\end{array}\right]

Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.

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zaharov [31]

Answer:

x = 7

Step-by-step explanation:

The proportion is

14/6 = 21/(3x - 12)                 Cross Multiply

14*(3x - 12) = 6*21                 Remove the brackets and combine

42x - 168 = 126                     Add 168 to both sides

42x = 126 + 168

42x =  294                           Divide by 42

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8 0
2 years ago
Find the volume of each ball. use the formula. where v is the volume and r is the radius. record the volume in table A of your s
pochemuha

Answer:

The volume of tennis ball = 38.808 cm^{3}.

                          Volume of golf ball = 33.523 cm^{3}.


Step-by-step explanation:

Given: The radius of the tennis ball is 2.1cm and the radius of thr golf ball is 2.0cm. the formula is V=4πr(to the 3rd power) /3 .

To find: Volume of tennis ball and golf ball .

Formula used: Volume = \frac{4 π r^{3} }{3} .

 pi(π) = \frac{22}{7} .

Explanation : We are given that

                     Radius of the tennis ball = 2.1 cm

                    radius  of the golf ball =2.0 cm.

We need to find the volume of each ball

So , plugging the given values of radius in above formula

Volume of the tennis =\frac{4*22(2.1)^{3} }{3*7}

On simplification we get, volume of tennis ball = 38.808 cm^{3}

Volume of the golf ball=\frac{4*22(2.0)^{3} }{3*7}

On simplification we get, volume of golf ball = 33.523 cm^{3}

Therefore , The volume of tennis ball = 38.808 cm^{3}.

                          Volume of golf ball = 33.523 cm^{3}.


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