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Klio2033 [76]
3 years ago
8

Factor completely 4x^5-20x^3

Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0

Answer:

<em>4x^3(x^2 - 5)</em>

Step-by-step explanation:

First, try to factor a common factor.

GCF of 4 and -20 is 4.

GCF of x^5 and x^3 is x^3.

Factor out 4x^3.

4x^5 - 20x^3 =

= 4x^3(x^2 - 5)

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Help me pls kinda stuck lol
german

Answer:

see explanation

Step-by-step explanation:

(a)

To find the x- intercepts , let y = 0 , that is

6x - x² = 0 ← factor out x from each term

x(6 - x) = 0

Equate each factor to zero and solve for x

x = 0

6 - x = 0 ⇒ x = 6

Coordinates of P (6, 0 )

(b)

The axis of symmetry is a vertical line, positioned at the midpoint of the zeros

x = \frac{0+6}{2} = \frac{6}{2} = 3

Equation of axis of symmetry is x = 3

(c)

Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = 6x - x² = - x² + 6x ← is in standard form

with a = - 1, b = 6 , then

x_{vertex} = - \frac{6}{-2} = 3

Substitute x = 3 into y = 6x - x² for y- coordinate

y = 6(3) - 3² = 18 - 9 = 9

coordinates of maximum point = (3, 9 )

8 0
3 years ago
Which expression represents the sum of (2x - 5y) and (x + y)?<br>​
muminat

Answer:3x-4y

Step-by-step explanation:

To express the sum of (2x-5y) and (x+y),

We are going to have

2x-5y+x+y

The next thing to do is to collect the like terms;

Then we have;

2x+x-5y+y

Answer realized will now be

3x-4y

5 0
3 years ago
Ashton and Kamir are arguing about how a number trick they heard goes. Ashton tells Andrew to think of a number, multiply it by
Artemon [7]

Answer: The number was 9.

Step-by-step explanation:

Let the number be 'x;.

think of a number, multiply it by five and subtract three from the result :

According to Ashton, the expression would be :

5x-3

Kamir tells Andrew to think of a number, add five and multiply the result by three:

According to Kamir, the expression would be :

3(x+5)

At last, they get the same number :

5x-3=3(x+5)\\\\5x-3=3x+15\\\\5x-3x=15+3\\\\2x=18\\\\x=\dfrac{18}{2}\\\\x=9

Hence, the number was 9.

5 0
3 years ago
Plz help all 3 i'll give brainiest if right.!!!
Marysya12 [62]
HOPE YOU CAN READ THE EXCEL FILE
Download xlsx
8 0
3 years ago
Hiro has 5 kilograms of potatoes and 2 kilograms of onions
Mekhanik [1.2K]
He has 6 kilograms in all. you add 5 and 2 to get your answer.
5 0
3 years ago
Read 2 more answers
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