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sergeinik [125]
3 years ago
13

F(x) = 6 • (0.4)x. then determine which answer choice matches the graph you drew. (Please help)

Mathematics
2 answers:
ladessa [460]3 years ago
6 0

Answer:B

Step-by-step explanation: It’s a decay function

Anton [14]3 years ago
6 0

Answer:

The correct option is B.

Step-by-step explanation:

The general form of an exponential function is

g(x)=ab^x              .... (1)

Where, a is initial value and b is growth or decay factor.

If b>1, then it is an increasing function and if 0<b<1, then it is a decreasing function.

The given function is

f(x)=6\cdot (0.4)^x           .... (2)

From (1) and (2) it is clear that

a=6,b=0.4

The value of a is 6. It means the initial value or y-intercept of the function is 6.

The value of b is 0.4, which is less than 1. It means the function is a decreasing function.

Graph B represent a decreasing function with initial value 6. Therefore the correct option is B.

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What is an equation of the line that passes through the points (4, -1) and<br> (-8, –7)?
Andreas93 [3]

Answer:

y=1/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(-8-4)

m=(-7+1)/-12

m=-6/-12

m=1/2

y-y1=m(x-x1)

y-(-1)=1/2(x-4)

y+1=1/2x-4/2

y=1/2x-2-1

y=1/2x-3

5 0
3 years ago
Find the measure of the indicated angle.<br> Please can you help?<br> I need to show work.
777dan777 [17]

Answer:

64°

Step-by-step explanation:

∠RQP = 46°

∠PRQ = 180° - 110° = 70°

∠PRQ + ∠RQP + <u>∠RPQ</u> = 180°

70° + 46 + <u>∠RPQ</u> = 180°

116° + <u>∠RPQ</u> = 180°

Find <u>∠RPQ</u>

<u>∠RPQ</u> = 180° - 116° = 64°

4 0
3 years ago
Let event A = You buy a new pair of gloves on Saturday. Which event is most
Salsk061 [2.6K]

Answer:

C_ You finished a book on thursday.

Hope this helps

7 0
3 years ago
Bo invests money in an account paying a simple interest of 8% per year. If no money will be added or removed from the investment
inn [45]

Answer:

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year,

then, solving our equation

I = Prt (Where p=principle,r=rate,t=time)

I = p*0.08*1=0.08p

Step-by-step explanation:

3 0
3 years ago
The length of the side of a square is equal to the perimeter of the square divided by four. Which shows the correct graph relati
serious [3.7K]

Answer:

On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).

Step-by-step explanation:

Let

x ----> the perimeter of the square

y ---> the side length of the square

Remember that

The perimeter of the square is given by the expression

P=4b

where

b is the length side of the square

solve for b

b=\frac{1}{4}P

That means

A ordered  pair in the coordinate plane following the rule

(x,y) -----> (x,x/4)

The y-coordinate is equal to the x-coordinate divided by 4

y=x/4

therefore

On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).

Because

For the point (4,1)

substitute in the linear equation the value of x

y=4/4=1 ----> is ok

For the point (8,2)

substitute in the linear equation the value of x

y=8/4=2 ----> is ok

8 0
3 years ago
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