PLEASE HELP!!! h is a polynomial of degree 3. h has a root of multiplicity 2 at c=1, h(−1)=0, and h(0)=−0.19. Find an algebraic equation for h. Round all answers to 3 decimal place as/if needed.

h(c) = -0.19(c - 1)²(c + 1)

Step-by-step explanation:

We need to find an equation of h(c) with the following info given:

h is of degree 3c = 1 is the zero with multiplicity of 2h(-1) = 0h(0) = - 0.19

According the info above we have factors:

h(c) = (c - 1)²(kc + t), where k and t unknown for now

Let's work out the value of k and t:

h(-1) = (- 1 - 1)²(-k + t) = 0 ⇒ - k + t = 0 ⇒ k = th(0) = (0 - 1)²(k*0 + t) = - 0.19 ⇒ t = - 0.19 ⇒ k = -0.19

We now have the factors:

h(c) = (c - 1)²( - 0.19c - 0.19) ⇒ h(c) = -0.19(c - 1)² (c + 1)

yes

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!

Yes. there is a constant ratio of number of calories to gram of protein.12/3=24/4=32/8=44/11=4