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3 years ago

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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katovenus [111]

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Answer A

If you do'nt believe run this programm

DIM n(5) AS INTEGER, i1 AS INTEGER, i2 AS INTEGER, i3 AS INTEGER, i4 AS INTEGER, i5 AS INTEGER, nb AS LONG, tot AS LONG
tot = 0
n(1) = 1
n(2) = 2
n(3) = 4
n(4) = 7
n(5) = 8
FOR i1 = 1 TO 5
    FOR i2 = 1 TO 5
        IF i2 <> i1 THEN
            FOR i3 = 1 TO 5
                IF i3 <> i2 AND i3 <> i1 THEN
                    FOR i4 = 1 TO 5
                        IF i4 <> i3 AND i4 <> i2 AND i4 <> i1 THEN
                            FOR i5 = 1 TO 5
                                IF i5 <> i4 AND i5 <> i3 AND i5 <> i2 AND i5 <> i1 THEN
                                    nb = ((((n(i1) * 10) + n(i2)) * 10 + n(i3)) * 10 + n(i4)) * 10 + n(i5)
                                    IF nb MOD 2 = 0 THEN
                                        tot = tot + 1
                                    END IF
                                END IF
                            NEXT i5
                        END IF
                    NEXT i4
                END IF
            NEXT i3
        END IF
    NEXT i2
NEXT i1
PRINT "tot="; tot
END

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2 years ago

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