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3 years ago

11 more than twice a number x

1 answer:

4 0

11 more than twice a number x...
twice a number x = 2* x = 2x
and 11 more than twice a number x
= 2 x + 11 Answer

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Which point is collinear to the point (0, 0)?

igor_vitrenko [27]

Answer:

I think it a for sure isn't 1 a little bit closer

6 0

3 years ago

Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form? (5 points)

Svetlanka [38]

Answer:

(See explanation for further details)

Step-by-step explanation:

a) Let consider the polynomial $p(x) = 5\cdot x^{3} +2\cdot x^{2} - 6 \cdot x +17$ . The polynomial is in standards when has the form $p(x) = \Sigma \limit_{i=0}^{n} \,a_{i}\cdot x^{i}$ , where $n$ is the order of the polynomial. The example has the following information:

$n = 3$ , $a_{0} = 17$ , $a_{1} = -6$ , $a_{2} = 2$ , $a_{3} = 5$ .

b) The closure property means that polynomials must be closed with respect to addition and multiplication, which is demonstrated hereafter:

Closure with respect to addition:

Let consider polynomials $p_{1}$ and $p_{2}$ such that:

$p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}$ and $p_{2} = \Sigma \limits_{i=0}^{n}\,b_{i}\cdot x^{i}$ , where $m \geq n$

$p_{1}+p_{2} = \Sigma \limits_{i=0}^{n}\,(a_{i}+b_{i})\cdot x^{i} + \Sigma_{i=n+1}^{m}\,a_{i} \cdot x^{i}$

Hence, polynomials are closed with respect to addition.

Closure with respect to multiplication:

Let be $p_{1}$ a polynomial such that:

$p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}$

And $\alpha$ an scalar. If the polynomial is multiplied by the scalar number, then:

$\alpha \cdot p_{1} = \alpha \cdot \Sigma \limits_{i = 0}^{m}\,a_{i}\cdot x^{i}$

Lastly, the following expression is constructed by distributive property:

$\alpha \cdot p_{1} = \Sigma \limits_{i=0}^{m}\,(\alpha\cdot a_{i})\cdot x^{i}$

Hence, polynomials are closed with respect to multiplication.

4 0

3 years ago

Four more than twice a number is less than negative twelve. Find all numbers that make this statement true.

andreev551 [17]

Answer:

x<-8

Step-by-step explanation:

four more than twice a number = 4+2X

is less than negative twelve = <-12

4+2X<-12

(4-4)+2X< -12-4

2x<-16

X<-8

7 0

3 years ago

Elodia [21]

Answer:

33 degrees

Step-by-step explanation:

(4x+1) and (2x-19) add up to 180 degrees

$(4x+1)+(2x-19)=180\\6x-18=180\\6x=198\\x=33$

3 0

2 years ago

Help me please I’m so confused ):

Marrrta [24]

The domain is all the x-values you can use with this function. When dealing with a function like this, you need to ask yourself, what would make the bottom equal to 0? Whatever those numbers are, you do NOT want them in your domain.

A fundamental rule is that you cannot divide by 0 or have 0 as a denominator.

So, you solve x^2+6x=0 to find that x=0 or x=-6 would make the denominator 0.

The domain is everything BUT those two values, because they essentially break your function.

4 0

3 years ago