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3 years ago

Which of the following represents the zeros of f(x) = 6x3 − 35x2 + 26x − 5?

1 answer:

7 0

Given the function:
f(x)=6x³-35x²+26x-5
to get the zeros we need to factorize the polynomial given:
to factorize we look for a number such that when we substitute in the equation we get a zero:
first number is:
x=5
thus:
to get the rest of the number we shall have:
(6x³-35x²+26x-5)÷(x-5)
=(3x-1)(2x-1)
thus the other roots are:
x=1/3 and x=1/2
hence the answer will be:
<span>C. 5, one third, negative one half</span>

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Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

4 0

1 year ago

If you had $350 and you spent the following

Olin [163]

Answer:

B.) $58

Step-by-step explanation:

350-89-18-27-38-120 = 58

6 0

3 years ago

Read 2 more answers

Joseph is ordering pizza for himself and 15 friends. If each of them wants 14

kicyunya [14]

I think it is 210
because 15x14=210

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3 years ago

There are two pizzas. Conor ate 1⁄4 of a pizza, Brandon 2⁄8, Tyler 3⁄4, and Audrey4⁄8. Who ate the most of the two pizzas

Kobotan [32]

Tyler ate the most. if you put them all in the same fractions Conor ate 1/4, Brandon also ate 1/4, Tyler ate 3/4 and Audrey ate 2/4. if you want to go by percent then Conor and Brandon ate 25% each, Audrey ate 50% and Tyler ate 75% which means there is still 25% or 1/4 of a pizza left

6 0

4 years ago

Read 2 more answers

How can I convert measurements of weight? Give an example <br> ( please help)

sashaice [31]

Measurements of weight can be converted quite easily! However, you may need some extra information if you are converting from things like pounds to kilograms.

For conversions like pounds to kilograms, you will need a conversion factor. Most of the time, a quick Google search will find you this factor. For example with pounds and kilograms, 2.205 pounds is equal to 1 kilogram. To find the number of kilograms in a pound, you would divide the number of pounds by 2.205. To find the number of pounds in a kilogram, you would multiply the number of kilograms by 2.205.

For other conversions, like kilograms to grams, you would need to remember your prefixes. For example, kilo means 1000. Grams is the single unit, so that means 1000 grams is equal to 1 kilogram. To find the number of grams in a kilogram, you would multiply the number of kilograms by 1000. To find the number of kilograms in a number of grams, you would divide the number of grams by 1000.

Hope this helps!! :)

4 0

3 years ago