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3 years ago

Which set of ordered pairs below is a function?

1 answer:

5 0

The answer is A.

Ordered pairs that equate to a function would not have two separate points with the same x-value. In other words, every x-value must be associated with only one y-value.

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Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9

balu736 [363]

Given:

The function is

$f(x)=\left(\dfrac{1}{3}\right)^x$

To find:

The missing values for a, b, and c in the given table.

Solution:

We have,

$f(x)=\left(\dfrac{1}{3}\right)^x$

At x=-2,

$f(-2)=\left(\dfrac{1}{3}\right)^{-2}$

$a=\left(3\right)^{2}$ $\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]$

$a=9$

At x=-1,

$f(-1)=\left(\dfrac{1}{3}\right)^{-1}$

$b=\left(3\right)^{1}$ $\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]$

$b=3$

At x=0,

$f(0)=\left(\dfrac{1}{3}\right)^{0}$

$c=1$ $\left[\because a^0=1, a\neq 0\right]$

Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.

8 0

3 years ago

Read 2 more answers

Help ASAP 22.41 + 8.9

Diano4ka-milaya [45]

Answer:

22.41 + 8.9= 31.31

hope this helps <3

8 0

3 years ago

A company makes a profit of $5.8 million. This is $1.2 million

QveST [7]

Answer:

I think last year, the company's profit was 2.3 million $

Step-by-step explanation:

5.8 - 1.2 = 4.6

4.6 divided by 2 = 2.3

8 0

3 years ago

The authors of a paper titled "Age and Violent Content Labels Make Video Games Forbidden Fruits for Youth" carried out an experi

o-na [289]

Answer:

T = 290

Step-by-step explanation:

We can find the sum of all observations multiplying sample size (n) by sample mean (x).

Sum of all observations in the data set is,

$T=n_{1} x_{1}+n_{2}x_{2}+n_{3}x_{3}+n_{4}x_{4}\\T=10(5.3)+10(7)+10(8.5)+10(8.2)\\T=53+70+85+82\\T=290$

Hope this helps!

7 0

3 years ago

Which of the following solids has no edges?

ludmilkaskok [199]

Answer:

I think it's C a triangular pyramid.

5 0

3 years ago