PLEASE ANSWER ASAP

Mathematics

1 answer:

mote1985 [20]4 years ago

8 0

Answer:

y = 2 $(3)^{x}$

Step-by-step explanation:

For the exponential function in the form

y = a $b^{x}$

Use ordered pairs from the table to find a and b

Using (0, 2 ), then

2 = a $b^{0}$ ( $b^{0}$ = 1 ) , thus

a = 2, so

y = 2 $b^{x}$

Using (1, 6 ) , then

6 = 2b ( divide both sides by 2 )

b = 3

Thus the exponential function is

y = 2 $(3)^{x}$

You might be interested in

Factorise the following

Vika [28.1K]

For a), common terms between them are x & y
Thus, xy(3x+5y)

For b), I'm guessing the answer is (m+n)(x+y)

3 0

3 years ago

Factor the expression completely: x³ - 3x² - 4x + 12

Olenka [21]

See attached picture for answer:

7 0

4 years ago

If you work for an hourly wage, your gross pay is a function of the number of hours that you work. If you earn $8 per hour, comp

Gelneren [198K]

1. Let $x$ be the number of hours that you worked. We know from our problem that your hourly wage is $8, so your hourly wage will be given by the linear function: $y=8x$ .
where
$f(x)$ is your gross pay.
$x$ is the number of hours that you worked.

To complete the table, we just need to evaluate the function at the given hours; in other words, we are going to replace $x$ with the number of hours in our linear function:
$y=8(0)=0$
$y=8(3)=24$
$y=8(5)=40$
$y=8(7)=56$
$y=8(10)=80$
$y=8(12)=96$

We can conclude that yous should fill your table as follows:
Number of Hours
0
3
5
7
10
12

Gross Pay
0
24
40
56
80
96

2. Remember that the domain of a function are the set of the x-values of the function; the range of a function are the set of y-values of the function. From our previous point, we can infer that the ordered pairs of the function are: (0,0), (3,24), (5,40), (7,56), (10,80), and (12,96). The y-values and hence the range of the function are: 0, 24, 40, 56, 80, 96. Remember that in the quadrant I both the x-coordinates and the y-coordinates are positive. Since all the coordinates of our points are positive, we can conclude that the correct answer is:
d. 0, 24, 40, 56, 80, 96; Quadrant I