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zysi [14]
3 years ago
9

What is the value of the expression (1/6)^-1? Write your answer as simplified as possible.

Mathematics
1 answer:
Murrr4er [49]3 years ago
8 0

Answer:

6

Step-by-step explanation:

Recall that a^{-b}=\frac{1}{a^b}. Therefore, any number n raised to the power of -1 will be  \frac{1}{n^1}=\frac{1}{n} (the reciprocal of that number).

Thus, the value of the expression \left (\frac{1}{6}\right)^{-1} is:

\left (\frac{1}{\frac{1}{6}}\right )=\fbox{$6$}.

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Nadusha1986 [10]
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5 0
3 years ago
The difference between the square of two numbers is five. Twice the square of the second number is subtracted from three times t
svet-max [94.6K]
Let us assume the first number to be = x
Let us assume the second number to be = y
Then
x^2 - y^2 = 5
x^2 = y^2 + 5
And
3x^2 - 2y^2 = 19
Multiplying the first equation by -2, we get
- 2x^2 + 2y^2 = - 10
Now subtracting the two equations, we get
x^2 = 9
x = 3
Putting the value of "x" in the first equation, we get
(3)^2 - y^2 = 5
9 - y^2 = 5
y^2 = 4
y = 2

I hope that the procedure is clear enough for you to understand and this is the answer that you were looking for.
5 0
3 years ago
I need help on what a slope and y-intercept and how to find the equation
IrinaVladis [17]

Answer:

y=mx+b is the slope intercept form.

Step-by-step explanation:

m is the slope (how the line is moving across the graph)

b is y-intercept (where the line crosses the y axis)

Hope this helps!

3 0
3 years ago
NEED THIS ASAPWrite the standard form of the equation of each line given the slope and y-intercept
Mama L [17]

<em>Note:</em>

<em>Your first question is missing the y-intercept, so I am solving the 2nd question. You would still get your concept clear because the procedure to solve each of the questions is the same.</em>

                                            Question 2

Answer:

The equation in the standard form is:

  • 2/3x + y = -4

Please also check the attached graph.

Step-by-step explanation:

We know that the equation in the standard form is

Ax + By = C

where x and y are variables and A, B and C are constants

Given

  • Slope m = -2/3
  • y-intercept = -4

To determine

  • Write the equation in the standard form

We know that the slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

In our case:

  • Slope m = -2/3
  • y-intercept = -4

substituting m = -2/3 and y-intercept b = -4 in the slope-intercept of the line equation

y = mx+b

y = -2/3x  + (-4)

y = -2/3x - 4

Writing the equation in the standard form

2/3x + y = -4

Therefore, the equation in the standard form is:

  • 2/3x + y = -4

Please also check the attached graph.

4 0
3 years ago
Matt has 11 white buttons. He has 9 fewer brown buttons than white buttons. Matt has 17 more grey buttons than brown buttons. Ho
In-s [12.5K]

Answer: 32 buttons

Step-by-step explanation:

Matt has 11 white buttons.

Matt has 9 fewer brown buttons than white buttons. This means he has (11 -9) = 2 brown buttons

Matt has 17 more grey buttons than brown buttons. This means that he has (2 + 17) = 19 grey buttons.

The total number of buttons that Matt has will be;

= 11 white + 2 brown + 19 grey

= 32 buttons

7 0
3 years ago
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