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Jobisdone [24]
4 years ago
10

Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?

Mathematics
1 answer:
REY [17]4 years ago
4 0
X³ - 9x² + 5x - 45

x²(x - 9) - 5(x - 9) ⇒ x³ - 9x² - 5x + 45 INCORRECT
x²(x + 9) - 5(x + 9) ⇒ x³ + 9x² - 5x - 45 INCORRECT

x(x² + 5) - 9(x² + 5) ⇒ x³ + 5x - 9x² - 45 CORRECT
It just needs to be rearranged.

x(x² - 5) - 9(x² - 5) ⇒ x³ - 5x - 9x² + 45 INCORRECT
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What is the value of x, the acid concentration of the first solution?
bezimeni [28]

Answer:

A) 0.05

Step-by-step explanation:

Let's summarize into an equation the information we can get from that table.

We have 4 liters of an acid of an unknown concentration, let's call it (4x).

We have 10 liters of an acid with known concentration of 0.40.

And we have a total of 14 liters overall with a concentration of 0.3o.

That's like a weighted average formula: 4x + 10 y = 14z  

Let's replace the concentration values we know and solve this:

4x + 10 (0.4) = 14 * 0.3  

4x + 4 = 4.2

4x = 0.2

x = 0.05

So, the concentration of the 4 liters of acid on concentration X are in fact of concentration of 0.05.

6 0
4 years ago
Read 2 more answers
If your car goes 50 kilometers in 2 hours,what is its average speed
Georgia [21]

Answer:

25 kilometers per hour

Step-by-step explanation:

I just simply made it into a proportion of 50/2=x/1 and 50 divided by 2 is 25. hopefully that help you.

8 0
3 years ago
A factory produces 90 packages of mixed nuts in 1 min. A quality control manager selected 10 of these 90 packages at random and
valentina_108 [34]
Answer:

34

explanation:

First of all, put the numbers in order

30, 31, 31, 32, 33, 35, 35, 35, 36, 36

Then, find the middle number.
In this case, there is an even amount of numbers so, we have to pick the 2 middle numbers which is 33 and 35.

Now all you have to do is add these two numbers together then divide by 2 which will give you 34.

or, in simpler questions like this one, you can just say 34 as you know it is between 33 and 35.


In other questions, it might have and odd amount of numbers, for example:

3, 3, 5, 8, 10

so all you would do here is pick the middle number which would be 5. (it has 2 numbers on each side of it)
7 0
3 years ago
System of Equations <br> Need help<br> Trig
Yanka [14]

Looks like the system is

\begin{cases}-2x+y+6z=1\\3x+2y+5z=16\\7x+3y-4z=11\end{cases}

We can eliminate y by taking

(3x+2y+5z)-2(-2x+y+6z)=16-2(1)

\implies3x+2y+5z+4x-2y-12z=16-2

\implies7x-7z=14

\implies x-z=2

so that z=x-2, and

(7x+3y-4z)-3(-2x+y+6z)=11-3(1)

\implies7x+3y-4z+6x-3y-18z=11-3

\implies13x-22z=8

Substitute z=x-2 into this last equation and solve for x:

13x-22(x-2)=8

\implies13x-22x+44=8

\implies-9x=-36

\implies x=4

Then

z=x-2

\implies z=4-2

\implies z=2

Plug these values into any one of the original equation to solve for y:

-2x+y+6z=1

\implies-2(4)+y+6(2)=1

\implies-8+y+12=1

\implies y=-3

Hence the solution is x = 4, y = -3, and z = 2.

6 0
4 years ago
What is the absolute value of 2 and -2?
xeze [42]

If you mean |2-2| then the absolute value is 0

If you are talking about |2| |-2| then the absolute values are 2 and 2

6 0
3 years ago
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