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3 years ago

What is the greatest common factor of the polynomial: 15x^5 +10x^4+25x^3

Mathematics

2 answers:

Sunny_sXe [5.5K]3 years ago

7 0

Step-by-step explanation:

15x^5 +10x^4+25x^3

5x³(3x²+2x+5)

Rama09 [41]3 years ago

6 0

Answer:

5x^3

Step-by-step explanation:

I have no idea how to explain this but here we go

If we were to factor, we first look at all the numbers, not the variables and their exponents.

So we have: 15, 10, and 25, and the greatest common factor is 5

So 5 is going to be part of our final answer.

Then, we look at all the x's and the exponents on them

So we have: x^5, x^4, x^3,

The smallest out of all of them is x^3.

So that's going to be part of your answer

and since it's multiplication

bam, you join them together to make it 5x^3

I hope this helped, let me know if you have any questions

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A department store, on average, has daily sales of 28,651.79. the standard deviation pf sales is $1000. On Tuesday, the store so

adelina 88 [10]

Answer:

Tuesday's Z-score is 7.56

Step-by-step explanation:

We are given that a department store, on average, has daily sales of 28,651.79 and the standard deviation of sales is $1000.

Also, it is given that on Tuesday, the store sold $36,211.08 worth of goods.

Let X = Daily sales of goods

So, X ~ N( $\mu = 28,651.79, \sigma^{2} =1000^{2}$ )

The z-score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ standard normal N(0,1)

Now, Tuesday,s Z-score is given by;

Z = $\frac{36,211.08-28,651.79}{1000}$ = 7.56

Yes, Tuesday was an unusually good day as on this day more worth of sales takes place as compared to the average daily sales of $28,651.79 .

5 0

3 years ago

Ad is tangent to circle o at d. find ab. round to the nearest tenth if necessary

Naddik [55]

Check the picture below.

$\bf 0=AB^2+6AB-121\implies \stackrel{\textit{using the quadratic formula}}{AB=\cfrac{-6 \pm \sqrt{6^2-4(1)(-121)}}{2(1)}}
\\\\\\
AB=\cfrac{-6 \pm \sqrt{520}}{2}\implies AB=\cfrac{-6 \pm \sqrt{4\cdot 130}}{2}
\\\\\\
AB=\cfrac{-6 \pm \sqrt{2^2\cdot 130}}{2}\implies AB=\cfrac{-6 \pm 2\sqrt{130}}{2}
\\\\\\
AB=-3\pm\sqrt{130}\implies AB=
\begin{cases}
\boxed{-3+\sqrt{130}}\\\\
-3-\sqrt{130}
\end{cases}$

since the distance AB cannot be a negative value, thus is not -3-√(130).

3 0

3 years ago

Read 2 more answers

Q8:<br> What is the solution to the equation below?<br> <br> 4w = 2/3 <br> W=?<br><br>

iVinArrow [24]

Answer:

Step-by-step explanation:

Hope this helps

5 0

2 years ago

Read 2 more answers

4. Evaluate the expression for the given value of each variable.

Novosadov [1.4K]

Answer:

-18

Step-by-step explanation:

5a2-7-b3

$5*a*2-7-b*3$

$5\cdot \left(-2\right)\cdot \left(2\right)-7-\left(-3\right)\cdot 3$

Therefore, -18 is your answer.

Hope this helped! :)

5 0

3 years ago

Identify all of the characteristics listed below that are associated with Step 1 of the 4-Step Problem-Solving Method -- Underst

Paraphin [41]

"Understand the problem" might rightly consist of
• Perform this step first
• Identify what you are being asked to solve or find.
• Identify the important words or numbers in the problem
• Identify any instructions that you are supposed to follow

_____
One of my professors always insisted we start the solution of any problem by writing down what was Given, and what we had to Find, using those headers for the sections of the paper we turned in. Only after those were listed were we allowed to write the Solution. Solution papers that didn't have that format were tossed in the trash, and no credit was given. Harsh, but effective.

8 0

3 years ago