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Burka [1]
3 years ago
14

HELP HELP WILL MARK RIGHT AND FIRST ANWSSER BRANLIEST

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0
It should be option A! I hope this helps you!
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Given the polynomial 2x3 18x2 − 18x − 162, what is the value of the constant 'k' in the factored form? 2x3 18x2 − 18x − 162 = 2(
oee [108]

The value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

<h3>What is polynomial equation?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

2x^3 +18x^2 - 18x - 162

The factor of the polynomial equation are given as,

2(x+ k)(x - k)(x +9)

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (2, 18, -18, -162). Thus,

2(x+ k)(x - k)(x +9)=2(x^3 +9x^2 - 9x - 81)

Take out the highest common factor to make the groups as,

2(x+ k)(x - k)(x +9)=2(x^2( x+9) - 9(x + 9))\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 9)\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 3^2)

Use the property of difference of the square for the (x²-3²) term as,

2(x+ k)(x - k)(x +9)=2( x+9) (x+3)(x-3)\\2(x+ k)(x - k)(x +9)=2 (x+3)(x-3)( x+9)

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

Learn more about factor of polynomial here;

brainly.com/question/24380382

7 0
2 years ago
Please help, I will give brainliest, I am struggling badly.
eimsori [14]

Answer:

y= -3/5 x

Step-by-step explanation:

I hope this helps!!!

7 0
3 years ago
Whats the solution for y+5x=17
Travka [436]
This is my answer/how I did it :
y+5x=17 can also be 5x+y=17
5x+y=17
   -y      -y
5x=17-y
+17       +17
5x+17=y (answer)

5 0
3 years ago
To celebrate her birthday, Whitney wants to take her friends adventuring in a 4WD vehicle from All Terrain Tours.
IgorC [24]

Answer:

Whitney can bring <u>6 friends.</u>

Step-by-step explanation:

The reason why is this:

Whitney is bringing 400 pounds of things plus <u>her own body weight! </u>

400 + 165 = 565 pounds

Now we add on Whitneys freinds which is <u>165 (their body weight) + the 10 pounds of gear which equals 175 pounds. So each friend would be 175 pounds total weight. </u>

175 x 6 = 1,050 pounds

If we add on Whitneys total weight thats:

565 + 1,050 = 1,615

<u>Adding on another friend would be 1,790 pounds which would be over the weight limit for the vehicle. </u>

Hence, Whitney can bring along 6 friends for her birthday.

<em>Hope this helped! :)</em>

4 0
3 years ago
Move two match sticks to make squares.
Rasek [7]

Answer:

The one in the middle and the one on the right?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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