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stellarik [79]
3 years ago
6

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
there are 36 capenters in a crew. Ona certain day,29 were present .What percent showed up for work?[round to the nearest tenth
aliina [53]

Answer:


Step-by-step explanation:

We assume, that the number 36 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 36, so we can write it down as 100%=36.

4. We know, that x% equals 29 of the output value, so we can write it down as x%=29.

5. Now we have two simple equations:

1) 100%=36

2) x%=29

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=36/29

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for 29 is what percent of 36


100%/x%=36/29

(100/x)*x=(36/29)*x - we multiply both sides of the equation by x

100=1.24137931034*x - we divide both sides of the equation by (1.24137931034) to get x

100/1.24137931034=x

80.5555555556=x

x=80.5555555556


now we have:

29 is 80.5555555556% of 36 to the nearest tenth is 81%

4 0
3 years ago
In ​ kite PQRS ​, TQ=5 cm and TR=12 cm. What is SR ? <br><br> Enter your answer in the box.
ozzi
The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides.
You can use Pythagoras' Theorem to calculate QR:
a^2 + b^2 = c^2
5^2 + 12^2 = QR^2
25 + 144 = QR^2
169 = QR^2
This means that the square root of 169cm is QR, which is 13cm.

SR is equal to QR, which means that SR is 13cm.
3 0
3 years ago
PLEASE HELP!!!!!!!!!!
Oksanka [162]

Answer:

B

Step-by-step explanation:

Data set D does not contain the value 128, which is the median value.

Data set C does not contain the outlier value 91.

Data set A contains value 168, which does not show up on the plot.

The only remaining choice is B.

_____

In order, the data values of set B are ...

... 91, 114, 120, 126, 128, 128 134, 136, 139, 142, 152

The median value of these 11 is the 6th one: 128. The median values of the remaining two sets of 5 are 120 and 139, making these values the quartiles at the ends of the box. The value 91 is more than 1.5 times the IQR (19) below the 1st quartile, so is considered an outlier. (The cutoff is 120-1.5·19=91.5.)

6 0
3 years ago
Read 2 more answers
I ready diagnostic time!!
Dimas [21]

Answer:

I think choose (D)

\frac{4}{10} and  \frac{10}{25}

5 0
3 years ago
Kết quả của phép tính : 2(x+1) là?
Gwar [14]

Answer:

2x + 2 is your using distributive property

Step-by-step explanation:

7 0
2 years ago
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