All categories

3 years ago

Find a polynomial function of degree 3 such that f(10)=17 and the zeros of f are 0, 5 and 8

Mathematics

1 answer:

fomenos3 years ago

3 0

Step-by-step explanation:

Since f(0) = f(5) = f(8) = 0, we have f(x) = Ax(x - 5)(x - 8), where A is a real constant.

We know that f(10) = 17.

=> A(10)(10 - 5)(10 - 8) = 17

=> A(10)(5)(2) = 17

=> 100A = 17, A = 0.17.

Hence the answer is f(x) = 0.17x(x - 5)(x - 8).

You might be interested in

Write the ratio 41 to 100 as a percent

tia_tia [17]

Answer:

$41\%$

Step-by-step explanation:

we have the ratio

$\frac{41}{100}$

To write as percent, multiply the ratio by 100

$\frac{41}{100}*100=41*100/100=41\%$

3 0

3 years ago

Help! NO LINKS!!! I need an answer so if anyone can help,please do!

Ierofanga [76]

It’s A !! I’m 100% sure

6 0

3 years ago

Simplify the exponent 6^-3

damaskus [11]

1/216 is the simplest, but 0.00462962962 is more precise.

5 0

3 years ago

Read 2 more answers

Danny had 20 minutes to do a three-problem quiz. He spent 9 1/4 minutes on question A and 5 4/5 minutes on question B. How much

Travka [436]

Answer:

4 19/20

Step-by-step explanation:

9 1/4 + 5 4/5 = 15 1/20

20- 15 1/20 = 4 19/20

6 0

3 years ago

What is the slope of (-12,-12) and (9,-9)

telo118 [61]

Step-by-step explanation:

Slope, which is the same as gradient, is equal to

change in y axis ÷change in x axis

<h3> $slope = \frac{change \: in \: y}{change \: in \: x}$ </h3>

Our coordinates are (-12,-12) and (9,-9)

In (-12,-12),let the first -12 be x1 and the second one be y1

Same goes for the (9,-9), let 9 be X2 and -9l be y2

 $slope = \frac{y2 - y1}{x2 - x1}$ 

 $= - \frac{ - 9 - - 12}{9 - 12}$ 

 $= \frac{3}{21}$ 

=0.1428571429

= 0.1429

4 0

3 years ago