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Nitella [24]
3 years ago
8

To determine whether the inverse of a function is a function you can perform the horizontal line test.

Mathematics
1 answer:
iris [78.8K]3 years ago
7 0

Answer:

\boxed{\text{TRUE}}

Step-by-step explanation:

If a horizontal line intersects the graph of a function in all places at exactly one point (the horizontal line test), the inverse of the function is also a function.

For example, the inverse of a hyperbola (like ƒ(x) =1/x) is a function, because every horizontal line intersects with the graph at exactly one point.

However, the inverse of a parabola (like ƒ(x) = x²) is not a function, because a horizontal line intersects with the graph at two points.

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HELPPPP PLS!! TY
Leya [2.2K]

Answer:

B at ordered pair 1, 2, hope this helped

Step-by-step explanation:

3 0
2 years ago
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What is the average speed in kilometers per hour if you travel 194 kilometers in 4.1 hours?
Sedaia [141]

Answer:

47.32 kilometers per hour

Step-by-step explanation:

194 (kilometers) / 4.1 ( hours)

194/4.1 = 47.32 kilometers per hour.

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3 years ago
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Find the quotient simplify your answers a+3 over a divided by 8 over a
mihalych1998 [28]
ANSWER

\frac{a + 3}{8}



EXPLANATION

We want to simplify

\frac{a + 3}{a}  \div  \frac{8}{a}


We multiply the first fraction by the reciprocal of the second fraction to obtain,



\frac{a + 3}{a}   \times  \frac{a}{8}


We cancel the common factors to get,


\frac{a + 3}{1}   \times  \frac{1}{8}

This gives us,

\frac{a + 3}{8}
4 0
3 years ago
Find the oth term of the geometric sequence 7, 14, 28, ...
yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

a_n=a_1\cdot r^{n-1}

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

\frac{14}{7}=2,\:\quad \frac{28}{14}=2

The ratio of all the adjacent terms is the same and equal to

r=2

now substituting r = 2 and a₁ = 7 in the nth term

a_n=a_1\cdot r^{n-1}

a_n=7\cdot \:2^{n-1}

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

6 0
3 years ago
What is the height of cone S?
balu736 [363]

Answer:

12 cm

Step-by-step explanation:

First, we find the scale factor from cone S to cone T.

ratio of volumes = (vol of T)/(vol of S) = (6144 pi cm^3)/(768 pi cm^3) = 8

The ratio of the volumes is 8:1

The scale factor, which is the ratio of linear dimensions (height, radius, etc.), is the cubic root of the ratio of the volumes.

scale factor = cubic root of 8 = 2

The height of cube T is 24 cm, so the height of cube S is 24 cm/2 = 12 cm.

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3 years ago
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