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Elden [556K]
3 years ago
5

Which set of ordered pairs could be generated by an exponential function?

Mathematics
2 answers:
jek_recluse [69]3 years ago
7 0

Answer:

C

Step-by-step explanation:

just took the quiz on edge2020

klemol [59]3 years ago
4 0

Answer: Third option.

Step-by-step explanation:

By definition, Exponential functions have the following form:

y = ab^x

Where "b" is the base (b > 0 and b\neq 1), "a" is a coefficient (a\neq 0) and "x" is the exponent.

 It is importat to remember that the "Zero exponent rule" states that  any base with an exponent of 0 is equal to 1.

Then, for an input value 0 (x=0) the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 (y=1).

You can observe in the Third option shown in the image that when x=0, y=1

 Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.

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Answer:

A. \frac{1}{4} = \frac{3}{12}

Step-by-step explanation:

\frac{1}{4} of the students wore shorts.

\frac{3}{12} of the students wore jeans.

Converting the fractions of the students who wore shorts and jeans respectively;

\frac{1}{4} = 0.25

\frac{3}{12} = 0.25

This means that the ratio of students who wore shorts is the same as that of students who wore jeans.

i.e \frac{1}{4} = \frac{3}{12}

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24) sin x = 1/3<br> Find cos x.
liq [111]

Answer:

\frac{2\sqrt{2} }{3}

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

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\frac{2\sqrt{2} }{3}

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ind the surface area of a sphere with a radius of 12 cm. Approximate as 3.14 and round your answer to the nearest hundredth
Bezzdna [24]
The surface area of a sphere is:

A=4πr^2, if r=12 and π is approximated as 3.14 then

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5 0
2 years ago
a certain number of two digit is three times the sum of its digit and if 45 added to it the digit will be reversed find the numb
bogdanovich [222]
· Author has 184 answers and 67.6K answer views
Let the number be (10 x + y)

Then, 10 x + y = 3 * (x + y) (given)

Or, 10 x + y = 3 x + 3 y

Or, 10 x - 3 x = 3 y - y

Or, 7x = 2 y

Or, x = 2 y / 7 ( Eq. 1)

Also, 10 x + y + 45 = 10 y + x ( given)

Or, 10 x - x = 10 y - y - 45

Or, 9 x = 9 y - 45 ( Eq. 2)

Substituting the value of x from (Eq. 1) in (Eq. 2), we have:

9 * 2 y / 7 = 9 y - 45

Or, (9 y ) - (18 y / 7) = 45

Or, 63 y - 18 y = 315

Or, 45 y = 315

Or, y = 7

From (Eq. 1),

x = 2 * 7 / 7 = 2

So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27

Answer

Check:

Sum of the digits = 2 + 7 = 9

9 * 3 = 27 ✓

Adding 45 to the number 27, we get 72. So, the digits get reversed.
5 0
3 years ago
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