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Strike441 [17]
3 years ago
6

( Help ASAP ) y varies inversely with x. If x is 6.4 when y is 1.5, what is k, the constant of inverse variation?

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Answer:

k = 9.6

Step-by-step explanation:

When dealing with inverse variation, the two variables vary in opposite directions. This means that as the first variable increases, second variable decreases and as the first variable reduces,the second variable increases.

Y varies inversely with x.

So as y increases, x reduces and as y reduces, x increases.

We would proceed by introducing a constant of variation, k

y = k/x

From the information given,

The constant of variation = k

The value if x = 6.4

The value of y = 1.5

To find the value of k

y = k/x

k = yx = 1.5 × 6.4

k = 9.6

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Y varies directly as x . If y is 2 when x is 8, then the constant of variation is 1/4 . True or False
dedylja [7]

When y = 2, x = 8.

This can be written as: 2/8.

Simplified: 1/4

True


3 0
3 years ago
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Your price on a particular model is $125 however to get a service contract you offer to sell it for $115 how much discount are y
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3 years ago
Solve for b. (g+l)b=n
denis23 [38]

Answer:

         n

b = ---------

      (g+l)

Step-by-step explanation:

We need to isolate b.  Starting from (g+l)b=n, we divide both sides by (g+l), obtaining

         n

b = ---------

      (g+l)

7 0
3 years ago
Solve the following system of linear equations: 3x1+6x2+6x3 = -9 -2x1–3x2-3x3 = 3 If the system has infinitely many solutions, y
choli [55]

Answer:

The set of solutions is \{\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}12\\-7-r\\r\end{array}\right]: \text{r is a real number}  \}

Step-by-step explanation:

The augmented matrix of the system is \left[\begin{array}{ccccc}3&6&6&-9\\-2&-3&-3&3\end{array}\right].

We will use rows operations for find the echelon form of the matrix.

  • In row 2 we subtract \frac{2}{3} from row 1. (R2- 2/3R1) and we obtain the matrix \left[\begin{array}{cccc}3&6&6&-9\\0&1&1&-7\end{array}\right]
  • We multiply the row 1 by \frac{1}{3}.

Now we solve for the unknown variables:

  • x_2+x_3=-7, x_2=-7-x_3
  • x_1+2x_2+2x_3=-2, x_1+2(-7-x_3)+2x_3=-2 then x_1=12

The system has a free variable, the the system has infinite solutions and the set of solutions is \{\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}12\\-7-r\\r\end{array}\right]: \text{r is a real number}  \}

6 0
3 years ago
Which is the simplified form of the expression 3(7/5x + 4) - 2(3/2 - 5/4x)
faltersainse [42]

Answer:

Step-by-step explanation:

I think you meant 3([7/5]x + 4) - 2(3/2 - [5/4]x).  If that's the case, then identify the LCD:  It is 20.  Multiply both [7/5]x + 4 and 3/2 - [5/4]x by 20 and then divide the resulting expression by 20:

3(28x + 80) - 2(30 - 25x)

------------------------------------

               20

Next, perform the indicated multiplication:

 84x + 240 - 60 + 50x

----------------------------------

                 20

This simplifies to:

 34x + 180        17x + 9

---------------- = ----------------

       20                 10

Next time, please share the answer choices.

6 0
3 years ago
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