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3 years ago

Translate into an equation The sum of two times a number and 5 is 11

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

3 0

2x+5=11

2 times x and 5 is 11.

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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]

Answer:

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

Solution:

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

If f(x) = 2x + 3, what is f(-2)? evaluate a linear function

jok3333 [9.3K]

Answer:

The answer is bellow

Step-by-step explanation:

The -2 is the x so you would put it in like so

2(-2) + 3

So you would get

-4+3

Which would give you

-1 as the final answer

7 0

3 years ago

The incenter of a triangle is formed by the intersection of the of a triangle

andre [41]

Answer:

angle bisectors

Step-by-step explanation:

The incentre is where a triangle's three angle bisectors intersect ( an angle bisector is a ray that cuts an angle in half ). The incentre is the centre of a triangle drawn inside the triangle.

6 0

2 years ago

1.17375 rounded to nearest tenth

Elden [556K]

Answer:

1.2

Step-by-step explanation:

Since we are rounding it by the tenth, it means we are rounding to the 1st digit to the right of the decimal.

We know 7 is greater then 5 meaning we round up

.1 + .1 is equal to .2 meaning its 1.2

If you still don't understand, I recommend you talk to your teacher

5 0

3 years ago

Read 2 more answers

Pleasere answerrrrrrr

Troyanec [42]

Answer: the 2nd one

Step-by-step explanation: because i said so ur the dum one

3 0

3 years ago