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2 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:

fomenos2 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).

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Identificati,prin verificare,ecuatia pentru care numarul x=3 este solutia

elena-s [515]

Answer:

concluzionăm că nu există o ecuație care să poată justifica valoarea x = 3 din opțiunile de mai sus după rezolvarea lor

Step-by-step explanation:

Urmează să aflăm din cele trei opțiuni date, care este una dintre opțiuni care rezultă în x = 3

Să rezolvăm opțiunea una după cealaltă pentru a deduce și determina care este răspunsul corect și corect.

a) $-2*x + 3 = 9$

$-2x = 9 -3$

$-2x = 6$

Împărțiți ambele părți la -2

x = 6/-2

x = -3

b) $-4*x +5 = 7$

$-4x = 7 -5$

$-4x = 2$

Împărțiți ambele părți la -4

$x = \dfrac{2}{-4} \\ \\ \\ x= \dfrac{1}{-2}$

c) $\dfrac{1}{3}*x -8 =9$

$\dfrac{1}{3}x = 9 +8$

$\dfrac{1}{3}x =17$

Înmulțiți ambele părți cu 3

$x =17*3$

x = 51

Prin urmare; concluzionăm că nu există o ecuație care să justifice valoarea x = 3 din opțiunile de mai sus după rezolvarea lor

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2 years ago

The function y=log(x) is translated 1 unit right and 2 units down. Which is the graph of the translated function?

SVEN [57.7K]

Given the function $y=\log x.$

1. Translation to the right 1 unit changes the function $y=\log x$ into the function $y=\log (x-1).$

2. Translation 2 units down changes the function $y=\log (x-1)$ into the function $y=\log (x-1)-2.$

3. Two translations change the funcion $y=\log x$ into the function $y=\log (x-1)-2.$

4. The graph of the final function you can see in attached diagram.

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2 years ago

Read 2 more answers

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than t

belka [17]

system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is $x+8y=68$ and $3x+4y=64$ .

<u>Step-by-step explanation:</u>

Here we have , A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. We need to find Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y . Let's find out:

Let the price in dollars of each large candle, x, and each small candle, y .So

A customer at a store paid $64 for 3 large candles and 4 small candles

Equation is :

⇒ $3x+4y=64$ .....(1)

At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.

Equation is :

⇒ $x+8y=68$ .......(2)

3(2)-(1) i.e.

⇒ $3(x+8y)-(3x+4y)=68(3)-64$

⇒ $20y=140$

⇒ $y=7$

So , $x+8y=68$

⇒ $x+8(7)=68$

⇒ $x=12$

Therefore , system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is $x+8y=68$ and $3x+4y=64$ .

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2 years ago

The weight of a sack of potatoes was more than 11 pounds. Shana wants to write an inequality for the weight of the sack of potat

Salsk061 [2.6K]

P > 11.....ur constant is 11

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2 years ago

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Which ordered pair minimizes the objective function C = 60x + 85y?. (0, 160). (55, 70). (80, 50). (170, 0)

dangina [55]

Step-by-step explanation:

The given objective function is $C = 60x + 85y$

To check that which ordered pair is minimizing the objective function-we will substitute all the ordered pair one by one in the given function and we will calculate the value of C. The ordered pair which will give the minimum value will be the answer.

For (0, 160)

$C=60\times 0+85\times 160=13600$