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3 years ago

Consider this absolute value function.

Mathematics

1 answer:

kirill [66]3 years ago

4 0

Answer:

given: f(x) = |x-5|

the function f as a piecewise function

$f(x) = \left \{ {{x-5, x \geq 5 } \atop {-x+5, x < 5}} \right.$

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Which expression is a factor of this polynomial?

sesenic [268]

The factor is the solution of zeros of the equation and x + 2 making it zero therefore x + 2 will be the solution of the given polynomial so option (B) will be correct.

<h3>What are the roots of an equation?</h3>

Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

Given the polynomial,

x³ + 2x² - 9x - 18

A factor is consist of a solution of zeros of any polynomial.

For example;

x² + 5x + 6 = 0

x(x + 2) + 3(x + 2) = 0

(x + 3)(x + 2) = 0

Here x + 3 and x + 2 are factor and solution is x = -3 and -2

Similarly,

x³ + 2x² - 9x - 18 = 0

The factor must be the solution to this.

By cross-checking option

Option (A) x + 1 = 0 → x = -1

Keeping x = -1

(-1)³ + 2(-1)² - 9(-1) - 18 = -8 ≠ 0 so it is not the factor.

Option (B) (x + 2) = 0 → x = -2

(-2)³ + 2(-2)² - 9(-2) - 18

-8 + 8 + 18 - 18 = 0 = 0 so it will be factor of the polynomial.

Hence " x + 2 will be the solution of the given polynomial".

To learn more about the roots of an equation,

brainly.com/question/12029673

#SPJ1

4 0

1 year ago

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Step2247 [10]

Answer:

$A = 297\pi$

Step-by-step explanation:

To solve this problem we need to be familiar with the formula for the surface area of a cone:

$A = \pi r(r + \sqrt{h^2+r^2})$

We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:

$r = \frac{d}{2}\\r = \frac{18}{2}\\r = 9 cm$

To calculate the height of the cone, we must use the Pythagorean Theorem:

$C^2 = A^2 + B^2$

We can treat the side length as the hypotenuse $C$ , the radius as the base $A$ , and solve for height $B$ . Set the expression up like this:

$C^2 = A^2 + B^2\\24^2 = 9^2 + B^2\\B^2 = 24^2 - 9^2\\B = \sqrt{24^2 - 9^2}\\B = \sqrt{576 - 81}\\B = \sqrt{495}\\B \approx 22.25$

Now we can plug into our original formula:

$A = \pi r(r + \sqrt{h^2+r^2})\\A = \pi 9(9+\sqrt{\sqrt{495}^2+9^2}\\A = \pi 9(9+\sqrt{495 + 81}\\A = \pi 9(9+\sqrt{576})\\A = \pi 9(9 + 24)\\A = \pi 9(33)\\A = 297\pi$

5 0

2 years ago

What can 39/40 be reduced to

Galina-37 [17]

It can't they have no common factor

5 0

4 years ago

Read 2 more answers

Can someone help me please?

Roman55 [17]

Answer:

X-16 the first one

Step-by-step explanation:

The first one is equal to x-4

3 0

4 years ago

It takes Leon 17 hours to seal his driveway working by himself. If Michael helps Leon, they can seal the driveway in 2 hours. Ho

Norma-Jean [14]

Answer:

It takes Michael 1 hour, 14 minutes and 7 seconds to seal the driveway close

Step-by-step explanation:

Leon do the work in 17 hours that means the rate of his work is $\frac{1}{17} work/hr$ , so he do $\frac{2}{17}$ of the work in two hours, therefore Michael do the other $\frac{15}{17}$ of the work, thus Michael rate will be $\frac{15}{17} \div\frac{1}{2} =\frac{30}{17} work/hour$ .

So it takes Michael $1h+\frac{4}{17}h$ to complete the work, or $\frac{4h}{17} \times \frac{60min}{1hour} =14\frac{2}{17} min\\\\\frac{2}{17} min \times \frac{60 secs}{1min}=7secs$

$1h \ 14 min \ 7secs$

8 0

3 years ago