Which table shows a relationship between the values of x and y that represents a linear function?

Mathematics

1 answer:

Charra [1.4K]3 years ago

5 0

The second one where 0,0 and 3,1 and 9,9

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Which expressions are a factor of -48xyz -24xy +40

wariber [46]

A. 4 (is the only factor for expression -48xyz -24xy +40)

8 0

3 years ago

Ines has saved $5. She doubles the amount she saves each week. Does the function have a constant difference or a constant ratio?

salantis [7]

Answer:

The function have a constant ratio

No, it does not represent an exponential function.

Step-by-step explanation:

As given,

Ines has saved $5. She doubles the amount she saves each week.

⇒ In first week she saved = $5

In second week she saved = 2×$5 = $10

In third week she saved = 2×$10 = 20

In fourth week she saved = 2×$20 = 40

and so on..

∴ we get the series

5, 10, 20, 40 ,.......

If the series is given as a, b, c, d, ..... , then

The common difference is defined as d = b-a = c-b

The common ration is defined as r = $\frac{b}{a} = \frac{c}{b}$

Here, in the given question

The series is - 5, 10, 20, 40

This has no common difference , d = 10 - 5 (= 5 )≠ 20 - 10 (= 10)

As 5 ≠ 10

So the function does not define common difference .

Now,

This has common ratio , r = $\frac{10}{5} (=2) = \frac{20}{10}(=2)$

As 2 = 2

So, the function represent common ratio

Now,

The function does not represent an exponential function because it is increased by common ratio.

7 0

3 years ago

what is the value of a for the exponential function in the graph represented in the form of f(x)=a(b^x)? Zoom in the photo bcz i

nekit [7.7K]

Answer:

$a = 3$

Step-by-step explanation:

To determine the value of $a$ , we want $b^x$ to be 1, so that $f(x) = a \times 1$ . Notice that if $x = 0$ , then $f(0) = a \times (b^0) = a$ , so the value of $a$ is simply $f(0)$ . From the graph, it appears that $f(0) = 3$ , so therefore $a = 3$ .