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kkurt [141]
3 years ago
15

PLZ HELP ASAP! ILL MARK BRAINLEST!

Mathematics
2 answers:
zmey [24]3 years ago
8 0

Answer:

#2 is definatly B

Step-by-step explanation:

Sav [38]3 years ago
7 0

Question 1.) Factor completely 12x^{4}+ 6x^{3}+18x^{2}

Since 6 divides all the three terms of the equation, so we take 6 common out from the equation.

i.e., 6(2x^{4}+ 1x^{3}+3x^{2})

Now, since x^{2} divides all the three terms of the equation, so we take x^{2} common out from the equation.

i.e., 6x^{2}(2x^{2}+ 1x+3)

Now, this cannot be factored further as 2x^{2}+ 1x+3 is a quadratic equation and taking out discriminant of it is:

D = (1)^2 - 4(2)(3)\\  \ \   = 1- 24\\ \ \ = -23

Since, the discriminant is less than zero. Therefore, the factored form of the given equation :  12x^{4}+ 6x^{3}+18x^{2}  is : 6x^{2}(2x^{2}+ 1x+3)


Question 2.) 7x^{3}y+ 14x^{2} y^{3} - 7x^{2}y^{2}

Since 7 divides all the three terms of the equation, so we take 7 common out from the equation.

i.e., 7(x^{3}y+ 2x^{2} y^{3} - x^{2}y^{2})

Now, since x^{2}y divides all the three terms of the equation, so we take x^{2}y common out from the equation.

i.e., 7x^{2}y(x+ 2y^{2} - y)

Therefore, the factored form of the given equation :  7x^{3}y+ 14x^{2} y^{3} - 7x^{2}y^{2}  is : 7x^{2}y(x+ 2y^{2} - y)


Question 3.) What is the Greatest Common Factor of x^{6} and x^{3} ?

The Greatest Common Factor of two numbers is the biggest number which divides both the given numbers completely.

Now, for the expressions x^{6} and x^{3}:

Since, x^{3} divides both the expressions completely and it is the biggest expression which divides both the expressions.

Therefore, x^{3} is the Greatest Common Factor of x^{6} and x^{3}



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miss Akunina [59]
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7 0
3 years ago
A function f defined by f(x) = x² + px + q is such that f(3) = 6 and f¹(3) = 0. Find the value of q.
CaHeK987 [17]

Answer:

q = 15

Step-by-step explanation:

Given

f(x) = x² + px + q , then

f(3) = 3² + 3p + q = 6 , that is

9 + 3p + q = 6 ( subtract 9 from both sides )

3p + q = - 3 → (1)

---------------------------------------

f'(x) = 2x + p , then

f'(3) = 2(3) + p = 0, that is

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p = - 6

Substitute p = - 6 into (1)

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- 18 + q = - 3 ( add 18 to both sides )

q = 15

5 0
3 years ago
The pair of points is on the graph of an inverse variation. find the missing value. (5,4) and (x,7)
d1i1m1o1n [39]
One form of the relation of inverse variation is y = k/x.

first step:  Find the value of k:    Taking the values x=5 and y = 4, 4=k/5, or k=20.  Then,   y = 20/x.

Next:  Let y = 7 and find the corresp. value of x:  7=20/x, or 7x=20, or

x = 20/7    (answer) 
7 0
3 years ago
Read 2 more answers
What is the slope of the line that contains the points (-1,9) and (5,21)
geniusboy [140]
Y-y
——-
X-x

21-9=12
5-(-1) =6
So the answer is D
7 0
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Write an expression for the sequence of operations described below. multiply 3 by t, triple the result, then raise what you have
Nadusha1986 [10]

Answer: 43046721(t^8)

Step-by-step explanation:

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4 0
3 years ago
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