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nlexa [21]
3 years ago
7

Find the GCF of the terms of the polynomial.

Mathematics
1 answer:
-BARSIC- [3]3 years ago
4 0
<h3>Answer:   2z^3</h3>

====================================================

Explanation:

The GCF of the coefficients {6, -42, 14} is 2 as it is the largest factor found in each of the three values.

----------

For the variable portions, we can

  • write z^5 as z^3*z^2
  • write z^4 as z^3*z^1
  • write z^3 as z^3*1

Each time we see z^3 show up, so this is the largest common factor among the three variable terms.

----------

The two results we got were 2 and z^3

Putting the two results together, we end up with the overall GCF of 2z^3

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! + 3 − 5 = 0; by completing the square
mylen [45]

Answer:

x = 1.19258 and x = −4.19258

Step-by-step explanation:

The given equation is :

x^2+3x-5=0

Keep x terms on the left and move  the constant to the right side  by adding it on both sides.

x^2+3x=5

Take half of the x term and square it.

(3\times \dfrac{1}{2})^2=\dfrac{9}{4}

then add the result to both sides

x^2+3x+\dfrac{9}{4}=5+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{29}{4}\\\\(x+\dfrac{3}{2})=\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}+\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}-\sqrt{\dfrac{29}{4}}

So,

x = 1.19258 and x = −4.19258

Hence, this is the required solution.

6 0
3 years ago
Victoria earns $255 by working 20 hours each week
Alborosie
She would make $98.50 in 10 hours.

Explanation :
255/20 = 12.75
12.75 - 2.90 = 9.85
9.85 x 10 = 98.50
6 0
3 years ago
How can you determine if a square root is completely simplified?
ycow [4]

Answer:

It cannot be divided by any number and equal a whole number.

Step-by-step explanation:

Okay, so I'm going to give an example of the simplifying process.

\sqrt{243}

If you were to just type this in to a calculator you would get 15.58 and so on, so that means we have to just simplify instead of solving for accuracy purposes.

So take 243 and divide it by a number that can go into it equally. I'm going use 3. When you do that you get 81. Usually when I do this I draw it out to better see it, so I'm going to try for you. The 3 is prime so we can't simplify that term anymore, but you can still simplify the 81, so that is what we do next. I'm going to use 3 to make it easier in the end results. Notice 3 is prime but 27 still is not, so we repeat this process again. I'm gonna stick with 3. Now simplify the 9.

                 243

3                                     81

                                3            27

                                           3      9

                                                  3    3

For every pair of number we have that are the same we get to put one outside the sqareroot sign (I know that sounds confusing). Start by listing them like this.

3 x 3 x 3 x 3 x 3

Now organize into groups of two.

(3x3)(3x3)(3)   Notice we have two groups that are paired. This means we can take two 3's and bring them outside the squareroot sign. Like this

3x3\sqrt{3}  

9\sqrt{3}

The lone 3 just goes back in the squareroot. once you can't find a number to divide the number inside the sign by you have simplified the expression completely. Hope that makes some sense

5 0
3 years ago
Jerry buys a case of bar soap. The case holds 12 packages. Each package contains four bars of soap. If each bar of soap is four
Sonja [21]

Answer:

The answer is D. 12 pounds

Step-by-step explanation:

Math is not my strong suit, so I apologize if this is wrong.

7 0
3 years ago
Suppose a company borrows 15,000 on 1/1/14 at 10% interest rate for a one year term. The company makes interest payments every q
goblinko [34]

Answer: 125

Step-by-step explanation:

Given that:

The principal = 15000

Rate = 10%

Years = 1 year = 12 month

Interest I = PRT/100

I = (15000 × 10 × 1)/100

I = 1500

The amount of interest expense that would they record in May will be

Interest = I/ 12 = 1500/12 = 125

5 0
3 years ago
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