X        f(x) 2.0    2.8 2.5    1.1 3.0    –0.8 3.5    –1.2 4.0    –0.3 4.5    0.7 for the given table of values for a polynomial function, where must the zeros of the function lie? a.) between 2.0 and 2.5 and between 4.0 and 4.5 b.) between 2.5 and 3.0 and between 4.0 and 4.5 c.) between 2.0 and 2.5 and between 3.5 and 4.0 d.) between 2.5 and 3.0 and between 3.5 and 4.0

Correct option is:

B.) between 2.5 and 3.0 and between 4.0 and 4.5

Step-by-step explanation:

The roots of a polynomial function p(x) lies in an interval (a,b) if:

p(a)>0 and p(b)<0

         or

p(a)<0 and p(b)>0

Here,

f(2.5)>0 and f(3.0)<0

Hence, f(x) has a root between 2.5 and 3.0

Also, f(4.5)>0 and f(4.0)<0

Hence, f(x) has a root between 4.0 and 4.5

Hence, Correct option is:

B.) between 2.5 and 3.0 and between 4.0 and 4.5

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

answer: .75 km

step-by-step explanation: