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xenn [34]
3 years ago
6

The exponential function g, whose graph is given below, can be written as g(x)=a*b^x

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0

Answer:

g(x) = 9(\frac{1}{3})^x

Step-by-step explanation:

Exponential function 'g' that can be written as g(x) = a.bˣ

From the graph attached,

Graph of the function passes through two points (0, 9) and (1, 3)

g(0) = a.b⁰

9 = a

Similarly, g(1) = a.b¹

3 = a.b

3 = 9(b)

b = \frac{3}{9}=\frac{1}{3}

Therefore function will be,

g(x) = 9(\frac{1}{3})^x

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viva [34]
It is b hope it helps
6 0
3 years ago
What is the equation of the
kati45 [8]

Answer:

y = \frac{1}{3} x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 6 ← is in slope- intercept form

with slope m = - 3

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-3} = \frac{1}{3} , then

y = \frac{1}{3} x + c ← is the partial equation of the perpendicular line

to find c substitute (3, 5 ) into the partial equation

5 = 1 + c ⇒ c = 5 - 1 = 4

y = \frac{1}{3} x + 4 ← equation of perpendicular line

6 0
2 years ago
What is the value of x?<br> 40°<br> (6x + 2)
Anvisha [2.4K]

Answer:

x = 8

Step-by-step explanation:

40 + 6x + 2 = 90   {Complementary angles}

Combine like terms

40+ 2 + 6x = 90

     42 +6x = 90         {Subtract 42 form both sides}

             6x = 90 - 42

             6x = 48       {divide both sides by 6}

        6x/6 = 48/6

             x = 8

6 0
4 years ago
Read 2 more answers
Hamburgers cost $2.50 and cheeseburgers cost $3.50 at a snack bar. Ben has sold no more than $30 worth of hamburgers and cheeseb
gregori [183]
Using the inequality
2.50x + 3.50y ≤ 30
substituting y with the number of cheeseburgers sold
2.5x + 3.5(4) ≤ 30
 x = 6.4
The maximum number of hamburgers he can sell is 6
5 0
3 years ago
Read 2 more answers
Which could be the dimensions of a rectangular prier whose surface area is less than 180 square feet? Select two options,
nadezda [96]

Answer:

8 feet by 3 feet by 7 feet

7 feet by 6 feet by 4 feet

Step-by-step explanation:

8 × 3 × 7 = 168

7 × 6 × 4 = 168

5 0
3 years ago
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