4d+8b+11d+7 list the coefficient in the expression

Mathematics

2 answers:

Mandarinka [93]2 years ago

6 0

4,8,11,7 are the coefficients in this expression

JulijaS [17]2 years ago

5 0

Answer:

4, 8, 11, 7

Step-by-step explanation:

Coefficients are the elements in front of the variables. Usually the numbers like in this case.

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Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two

Tom [10]

Answer:

The x -coordinate(s) of the point(s) of intersection of these two polynomials are $x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333$

The sum of these x -coordinates is $\frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}$

Step-by-step explanation:

The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).

Thus, $3x + 27x^2=2$ and we solve for x

$3x+27x^2-2=2-2\\27x^2+3x-2=0\\\left(27x^2-6x\right)+\left(9x-2\right)\\3x\left(9x-2\right)+\left(9x-2\right)\\\left(9x-2\right)\left(3x+1\right)=0$

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0

$9x-2=0\\9x=2\\x=\frac{2}{9}$

$3x+1=0\\3x=-1\\x=-\frac{1}{3}$

The solutions are:

$x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333$

The sum of these x -coordinates is

$\frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}$

We can check our work with the graph of the two polynomials.

4 0

3 years ago

Lucía makes braided key chains out of cotton cord. For every 8 feet of cotton cord she has, she can make 3 braided key chains. P

asambeis [7]

Lucía needs 13.33 feet of cotton.

Since Lucía makes braided key chains out of cotton cord, and for every 8 feet of cotton cord she has, she can make 3 braided key chains, to represent the relationship between the feet of cotton cord and the number of key chains and find the number of feet of cotton cord Lucia needs to make 5 key chains, the following calculations must be performed, through a cross multiplication: