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3 years ago

14. What is the vertex of y=-3x2 + 6x +15?

Mathematics

1 answer:

Flura [38]3 years ago

5 0

Answer:

y=6x+21

Step-by-step explanation:

simply 3x2+6x+15

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3 years ago

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Write the equation of a polynomial of degree 3, with zeros 1, 2 and -1 where f(0)=2

drek231 [11]

<u>Answer:</u>

The equation of a polynomial of degree 3, with zeros 1, 2 and -1 is $x^{3}-2 x^{2}-x+2=0$

<u>Solution:</u>

Given, the polynomial has degree 3 and roots as 1, 2, and -1. And f(0) = 2.

We have to find the equation of the above polynomial.

We know that, general equation of 3rd degree polynomial is

$F(x)=x^{3}-(a+b+c) x^{2}+(a b+b c+a c) x-a b c=0$

where a, b, c are roots of the polynomial.

Here in our problem, a = 1, b = 2, c = -1.

Substitute the above values in f(x)

$F(x)=x^{3}-(1+2+(-1)) x^{2}+(1 \times 2+2(-1)+1(-1)) x-1 \times 2 \times(-1)=0$

$\begin{array}{l}{\rightarrow x^{3}-(3-1) x^{2}+(2-2-1) x-(-2)=0} \\ {\rightarrow x^{3}-(2) x^{2}+(-1) x-(-2)=0} \\ {\rightarrow x^{3}-2 x^{2}-x+2=0}\end{array}$

So, the equation is $x^{3}-2 x^{2}-x+2=0$

Let us put x = 0 in f(x) to check whether our answer is correct or not.

$\mathrm{F}(0) \rightarrow 0^{3}-2(0)^{2}-0+2=2$

Hence, the equation of the polynomial is $x^{3}-2 x^{2}-x+2=0$

3 0

3 years ago

4+9 because i need to waste my points

Annette [7]

Answer:

ummmmm i think apple?

Step-by-step explanation:

because if 4 equals green and you put the square root of branch in there you will get branch×apple tree+water=apple my bad its green apple

i did it wrong i just redid the question and found the right answer. so if you put branch×square root of 9 apples+apple tree=9 apples right? well yes but if you add branch+square root of 4 more apples you will get in total 13 apples.

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3 years ago