25 : ) will mark : ) 1. evaluate the function rule for the given value. f(x) = 3x for x = –5 a. 1/729 b. –125 c. –15 d. 1/243 2. find the first, fourth, and eighth terms of the sequence. a(n) = −3 ∙ 2x − 1 a. –12; –96; –1,536 b. –6; –48; –768 c. –3; –24; –384 d. 1; –216; –279,936 3. evaluate the function rule for the given value. y = 15 · 3x for x = –3 a. –135 b. 5/3 c. 5/27 d. 5/9 4. evaluate the function rule for the given value. f(x) = 15x for x = 3 a. 14,348,907 b. 3,375 c. 45 d. 225 5. a boat costs $16,600 and decreases in value by 14% per year. how much will the boat be worth after 11 years? a. $16,446.00 b. $3,159.30 c. $2,717.00 d. $70,155.46 6. evaluate the function rule for the given value. y = 6 ∙ 4x for x = –3 a. 3/128 b. 3/32 c. -72 d. 3/8 explain your answers! will rate & ! will mark as brainliest! : )

1. evaluate the function rule for the given value

f(x) = 3x   for x = –5

here we have to substitute the value of x:

f(5)=3·(-5)

f(5)= -15     answer is c

2. find the first, fourth, and eighth terms of the sequence.

a(n) = −3 ∙ 2x − 1

in this case the correct way to write the sequence is:  

a(n) = −3 ∙ 2n − 1

which can be written as:

a(n) = −6n – 1

this is an arithmetic succession, and if we want to find any term of this succession, we have to substitute the value of n.

for the first term n=1

a(1) = −6∙1 – 1

a(1) = −7

for the fourth term n=4

a(4) = −6∙4 – 1

a(4) = −25

for the eight term n=8

a(8) = −6∙8 – 1

a(8) = −49

then, the terms are -7; -25; -49

3. evaluate the function rule for the given value.

y = 15·3x     for x = –3

substitute the value of x:

y = 15·3·(-3)

y = -135 the answer is a

4. evaluate the function rule for the given value.

f(x) = 15x for x = 3

substitute the value of x:

f(3) = 15·3

f(3) = 45   the answer is c

5. a boat costs $16,600 and decreases in value by 14% per year. how much will the boat be worth after 11 years?

this can be expressed as a geometric succession:

        (1)

note that

so (1) can be written as:

        (2)

in this case if we want to know the worth of the boat after 11 years, we have to find the 11th term of this succession:

then:

after 11 years the boat will worth $3159.30    

the answer is b

6. evaluate the function rule for the given value.

y = 6 ∙ 4x for x = –3

substitute the value of x:

y = 6 ∙ 4 ∙ (-3)

y= -72   the answer is c

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2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves