Solve the polynomial equation. state the multiplicity of each root. 8x3 - 12x2 + 6x

Joshua delivered 30 hives to the local fruit farm.if the farmer has paid to use 5% of the total number of Joshua's hives,how man

Goryan [66]

7 hives in all is your answer for this problem.

8 0

4 years ago

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If you get this, you are a critical thinker.

vazorg [7]

Answer:

The correct answer is 34 people

Step-by-step explanation:

Killing 3 people does not change the number of people in the bedroom, it only means that there are 30 dead people and 4 living people, but overall, here are 34 people in the room.

4 0

3 years ago

Select the correct answer.

maks197457 [2]

Answer:

See Explanation

Step-by-step explanation:

Your question is poorly formatted. However, I'm able to deduce that your question involves at least 2 algebraic fractions that needs to be simplified.

So, I'll make use of the following expression:

$\frac{3n}{n + 3} + \frac{5}{n - 4}$

When you follow the steps I'm about to provide, you'll arrive at the right answer

Required

Determine an equivalent expression

$\frac{3n}{n + 3} + \frac{5}{n - 4}$

Step 1: Take L.C.M of the denominators

$LCM = (n+3)(n-4)$

Step 2: Evaluate the fractions

$\frac{3n}{n + 3} + \frac{5}{n - 4}$ $= \frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}$

Step 3: Open the brackets at the numerator

$\frac{3n}{n + 3} + \frac{5}{n - 4}$ $= \frac{3n^2-12n+5n+15}{(n+3)(n-4)}$

Step 4: Collect and evaluate like terms

$\frac{3n}{n + 3} + \frac{5}{n - 4}$ $= \frac{3n^2-7n+15}{(n+3)(n-4)}$

<em>Follow the above steps, and you'll be able to solve your question.</em>

6 0

3 years ago

Solve 3x+2y−z=2 2y+z=7 −2x−4z=−2 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=

Amanda [17]

Answer:

(-1, 3, 1)

x=-1, y=3, z=1.

Step-by-step explanation:

So we have the three equations:

$3x+2y-z=2\\2y+z=7\\-2x-4z=-2$

And we want to find the value of each variable.

To do so, look at the equations and try to think about what we can do to isolate one of the variables by itself.

We can see that both the second and equation has a variable and then the variable z.

In other words, we can solve for y in the second equation and x in the third equation and then substitute them in the first equation to isolate the variable z and then solve for z. With that, we can then easily arrive at our solution.

Therefore, solve for y in the second equation:

$2y+z=7$

Subtract z from both sides. The zs on the left side cancels:

$(2y+z)-z=(7)-z\\2y=7-z$

Now, divide both sides by 2. The 2s on the left cancel and we've isolated the y variable:

$\frac{(2y)}{2} = \frac{(7-z)}{2}\\y=\frac{(7-z)}{2}$

Now, do the same for the third equation. Isolate the x variable:

$-2x-4z=-2$

First, divide everything by -2 to make things simpler:

$\frac{(-2x-4z)}{-2}=\frac{(-2)}{-2}\\ x+2z=1$

Now, subtract 2z from both sides to isolate the x variable:

$(x+2z)-2z=1-2z\\x=1-2z$

We have isolated the x and y variables. They are:

$y=\frac{(7-z)}{2}\\x=1-2z$

Now, we can substitute them back into the first equation. Therefore:

$3x+2y-z=2\\3(1-2z)+2(\frac{7-z}{2})-z=2$

Distribute the first and second terms. The second term cancels out:

$3(1)-3(2z)+(7-z)-z=2\\3-6z+7-z-z=2$

Combine like terms:

$-6z-z-z+3+7=2\\-8z+10=2\\$

Subtract 10 from both sides:

$(-8z+10)-10=2-10\\-8z=-8$

Divide both sides by -8:

$z=1$

Now that we've determined that z=1, plug it back into the isolated second and third equations:

Second equation:

$y=\frac{(7-z)}{2}\\y=(7-1)/2\\y=(6)/2=3$

Third equation:

$x=1-2z\\x=1-2(1)\\x=1-2=-1$

Therefore, our answer is (-1, 3, 1)

7 0

4 years ago

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Marni has 11 ounces of walnuts. She needs 6 ounces for one recipe and \frac {1}{4} 4 1 pound for another. There are 16 ounces

Katena32 [7]

Answer:

Yes she has enough walnuts for her two recipes

Step-by-step explanation:

Total number of walnuts that Marni has = 11 ounces

She has two receipe

First recipe = 6 ounces

Second recipe = 1/4 pounds

Hence,

To find out if she has enough:.we add up the number of ounces from both recipes

The second recipe is in pounds hence, we convert to ounces.

1 pound = 16 ounces

1/4 pound =

Cross Multiply

= 1/4 pounds × 16 ounces/1 pound

= 4 ounces

Hence, we can add up now

First recipe + Second recipe

= 6 ounces + 4 ounces

= 10 ounces.

Since both recipes would require a total of 10 ounces of walnuts and Marin has 11 ounces, we can conclude that Marin has enough ounces of walnuts for her two recipes.

5 0

3 years ago

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Solve the polynomial equation. state the multiplicity of each root. 8x3 - 12x2 + 6x - 1 = 0