Mathematics: Please help! Select the correct answer. which statement best describes the zeros of the function h() = (x-4)(x-7x+ 10) O A. The function has four complex zeros. O B. The functlon has three distinct real zeros. O C. The function has two distinct real zeros and two complex zeros. O D. The function has four distinct real zeros.

Please help! Select the correct answer. which statement

xxaurorabluexx

13.02.2022

The zeros are:

x =4, x=2, x = 5

The function has three distinct real zeros.

Hence, option (B) is true.

Step-by-step explanation:

Given the expression

$h\left(x\right)=\left(x-4\right)^2\left(x^2-7x+\:10\right)$

Let us determine the zeros of the function by putting h(x) = 0 and solving the expression

$0=\left(x-4\right)^2\left(x^2-7x+10\right)$

switch sides

$\left(x-4\right)^2\left(x^2-7x+10\right)=0$

$x^2-7x+\:10=\left(x-2\right)\left(x-5\right)$

$\left(x-4\right)^2\left(x-2\right)\left(x-5\right)=0$

Using the zero factor principle

$\mathrm{If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

$x-4=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0$

x =4, x=2, x = 5

Thus, the zeros are:

x =4, x=2, x = 5

It is clear that there are three zeros and all the zeros are distinct real numbers.

Therefore,

The function has three distinct real zeros.

Hence, option (B) is true.

0,0(0 оценок)

emma5165

18.04.2022

No, this is not the best deal.

The unit price at Store D is higher than the unit price at Store B.

The most loaves is not always the best deal.

Darryl should purchase bread from Store B.

Step-by-step explanation:

0,0(0 оценок)