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3 years ago

Which is the product of 4x^5-6x^4+4x^3-6x^2

Mathematics

2 answers:

sweet [91]3 years ago

6 0

Answer:

$2x^{2} (2x-3)(x^{2} +1)$

Step-by-step explanation:

Elanso [62]3 years ago

4 0

Answer:

2 x^2 (2 x - 3) (x^2 + 1)

Step-by-step explanation:

Factor the following:

4 x^5 - 6 x^4 + 4 x^3 - 6 x^2

Factor 2 x^2 out of 4 x^5 - 6 x^4 + 4 x^3 - 6 x^2:

2 x^2 (2 x^3 - 3 x^2 + 2 x - 3)

Factor terms by grouping. 2 x^3 - 3 x^2 + 2 x - 3 = (2 x^3 - 3 x^2) + (2 x - 3) = x^2 (2 x - 3) + (2 x - 3):

2 x^2 x^2 (2 x - 3) + (2 x - 3)

Factor 2 x - 3 from x^2 (2 x - 3) + (2 x - 3):

Answer: 2 x^2 (2 x - 3) (x^2 + 1)

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PLEASE HELP ASAP

maria [59]

Answer:

First option: $3x^2-5x=-8$

Second option: $2x^2=6x-5$

Fourth option: $-x^2-10x=34$

Step-by-step explanation:

Rewrite each equation in the form $ax^2+bx+c=0$ and then use the Discriminant formula for each equation. This is:

$D=b^2-4ac$

1) For $3x^2-5x=-8$ :

$3x^2-5x+8=0$

Then:

$D=(-5)^2-4(3)(8)=-71$

Since $D$ this equation has no real solutions, but has two complex solutions.

2) For $2x^2=6x-5$ :

$2x^2-6x+5=0$

Then:

$D=(-6)^2-4(2)(5)=-4$

Since $D$ this equation has no real solutions, but has two complex solutions.

3) For $12x=9x^2+4$ :

$9x^2-12x+4=0$

Then:

$D=(-12)^2-4(9)(4)=0$

Since $D=0$ this equation has one real solution.

4) For $-x^2-10x=34$ :

$-x^2-10x-34=0$

Then:

$D=(-10)^2-4(-1)(-34)=-36$

Since $D$ , this equation has no real solutions, but has two complex solutions.

3 0

3 years ago

−6x + 14 < −28 OR 9x + 15 ≤ −12. solve for x.

sasho [114]

Answer:

x>7 or x ≤ -3

Step-by-step explanation:

Solving the 1st inequality

-6x +14 < -28 --------------- (Collect like terms)

-6x < -28 - 14

-6x < - 42 -------------------- (Divide both sides by -6)

Note: If you decide an inequality expression by a negative value, the inequality sign changes)

-6x/-6 > -42/-6

x > 7

Solving the 2nd inequality

9x + 15 ≤ −12 ----------- (Collect like terms)

9x ≤ −12 - 15

9x ≤ −27 ------------------(Divide both sides by 9)

9x/9 ≤ −27/9

x ≤ -3

Bring both results together, we get

x>7 or x ≤ -3

The final result is complex (i.e. can't be combined together).

4 0

3 years ago

Dog's video shop rent games for 3 games for $9.99. What is

forsale [732]

Answer:$43.29

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What are the coordinates of point B on AC such that the ratio of AB to BC is 2:3

Serggg [28]

Answer:

the answer is c, it fits the ratio given and is 2:3

3 0

3 years ago

Caleb and Mike both score the same amount of points in a game. Caleb has fifteen less than the total number of options. Mike has

ELEN [110]

Answer:

108points

Step-by-step explanation:

Let Caleb score be x and that of Mike be y. If Caleb and Mike both score the same amount of points in a game, then x = y.

The total number of option = x+y

Now, If Caleb has fifteen less than the total number of options, then;

x =(x+y)-15

x -(x+y)+15 = 0

x-x-y = -15

-y = -15

y = 15

Also if Mike has twice the total number of points decreased 201, then;

y = 2(x+y)-201

Since y = 15

15 = 2(x+15)-201

15 = 2x+30-201

15 = 2x-171

2x = 15+171

2x = 186

x = 186/2

x = 93

The total number of points they have altogether is x+y

x+y = 15+93

x+y = 108

Hence the total points that they have altogether is 108points

3 0

3 years ago