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worty [1.4K]
3 years ago
11

What is the multiple zero and multiplicity of f(x)=x^3-8x^2+16x?

Mathematics
2 answers:
lions [1.4K]3 years ago
4 0
Multiplicity is how many times a root repeats
factor
x(x²-8x+16)
what times wat =16 and adds to -8
-4 and -4
x(x-4)(x-4)
x(x-4)²
set to zero
x=0

x-4=0
x=4

roots are 0 ad 4

4 repeats 2 times, so has a multiplicty of 2


so
roots are 0, and 4 multiplicity 2

Jet001 [13]3 years ago
4 0

Answer:

x =0, x =4, x = 4

Step-by-step explanation:

Given: f(x) = x^3 -8x^2 +16x

To find the zeros, we need to plug in f(x) = 0, we get

x^3 - 8x^2 +16x = 0

Here x is the common factor, so we can take it out.

x(x^2 - 8x +16) = 0

Now we can factorize x^2 -8x +16

x^2 -8x +16 = (x -4)(x-4)

So

x(x^2 - 8x -16) = 0

x(x-4)(x-4) = 0

x = 0, (x -4) = 0, x-4 = 0

x =0, x = 4, x = 4

Here the two roots are real and equal.

Therefore, the zeros of the given function are x =0 and x = 4 and x = 4

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Hi guys can you help me can you do this calculation with the working pls<br>$36 - $17.85 = ​
d1i1m1o1n [39]

Answer:

$18.15

Step-by-step explanation:

Here, we want to find the difference between the two values

what we do here simply is to subtract the second from the first

Mathematically we have this as;

36-17.85 = $18.15

3 0
2 years ago
A student solved z + (-0.72) = -2.5 for z using the
N76 [4]

Answer:

  • Mistake in step1

Step-by-step explanation:

<u>Given</u>

  • z + (-0.72) = -2.5

<u>Solving in steps</u>

  • 1. ⇒ z + (-0.72) - (-0.72) = -2.5 - (-0.72)
  • 2. ⇒ z = - (2.5 - 0.72)
  • 3. ⇒ z = - 1.78

The student's mistake was adding (-0.72) instead of - (-0.72) or 0.72

5 0
3 years ago
Read 2 more answers
A father wishes to give his son P200, 000 ten years from now. What amount should he invest if it will earn interest at 10% compo
Archy [21]

Answer:

C. P69,256.82

Step-by-step explanation:

We know that,

The amount formula in compound interest is,

A=P(1+\frac{r_1}{n_1})^{n_1t_1} (1+\frac{r_2}{n_2})^{n_2t_2}.......

Where, P is the principal amount,

r_1, r_2.... are the annual rate for the different periods,

t_1, t_2,..... are the number of year for different periods,

n_1, n_2, n_3... are the number of periods,

Given,

A = P 200,000,

r_1=10%=0.1, n_1=4, t_1=5,r_2=12%=0.12, n_2=1, t_2=5

Thus, by the above formula the final amount would be,

200000=P(1+\frac{0.1}{4})^{4\times 5}(1+\frac{0.12}{1})^{1\times 5}

200000=P(1+0.025)^{20}(1+0.12)^5

200000=P(1.025)^{20}(1.12)^5

\implies P=69,256.824\approx 69,256.82

Option C is correct.

8 0
3 years ago
Question 2<br> Find<br> 2 1<br> 36
NISA [10]

Answer:

give a little more explanation.

Step-by-step explanation:

8 0
3 years ago
Please someone help me with this
gregori [183]

Answer:

  • 260 cm³

Step-by-step explanation:

<u>Full surface area:</u>

  • S = 3(6*10) + 2(1/2*8*10) = 260 cm³
3 0
3 years ago
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