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zysi [14]
2 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]2 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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The cost of a pizza is 30 cents less than 8 times the cost of a soda . If x represents the cost of the soda in terms of cents .
Leno4ka [110]

Answer:

c = 8x-30

23x-90

Step-by-step explanation:

Since the cost of soda is x, 8 times the cost of soda is is 8x.

Then, you have to take 30 cents away, so the cost for pizza would be 8x-30 or 8x-.30.

This is your pizza or c.

Next, to put in 3 pizzas and 5 sodas, you just multiply 3 and 5 by the corresponding variables.

So 3(8x-30) + 5(x) = 18x - 90 + 5x = 23x - 90 or 23x - .90

8 0
3 years ago
Find the value of c that completes the square for the function f(x)= x2 + 4x + C.
nydimaria [60]

Answer:

=  - 4 \times 2 + 4 \times ( - 4) + c \\   = - 8  - 16 + c \\  = 24 + c \\  \frac{ - c}{ - 1}  =  \frac{24}{ - 1}  \\ c =  - 24

7 0
2 years ago
If the graph of the function moves to the right two units what is the new vertex of the function
Allisa [31]

Answer:

Let's talk through this a one step at a time.

*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.

*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.

*At this point, f(x-5) has its vertex at (5,0).

*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]

*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence

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3 years ago
Which set of fractions is ordered from greatest to least? 2/3 3/8 5/12
blagie [28]

Answer:

5/12 3/8 2/3

Step-by-step explanation:

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3 years ago
Select all the correct answers.
alina1380 [7]

sorry i just want some points :)

3 0
2 years ago
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