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2 years ago

Factor x^6 + 12ax^3 + 20a^2

Mathematics

1 answer:

Sedaia [141]2 years ago

8 0

x^6 + 10ax^3 + 2ax^3 + 20a^2

(x^3 + 10a)(x^3 + 2a)

answer: (x^3 + 10a)(x^3 + 2a)

Hope it helps :)

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Is y=7x-4 a linear function yes or no? Please answer asap! Thank You

scZoUnD [109]

Yes, y = 7x-4 is a linear function because the slope is constant and it follows the y= mx + b format of linear equations. Hope this helps! :)

7 0

3 years ago

I don't get this one too can someone explain it please

lukranit [14]

Answer:

15ab

Step-by-step explanation:

When you multiply out the square (p+q)^2, you get the trinomial ...

(p +q)^2 = p^2 + 2pq + q^2

Your binomial is (3a+2.5b), so you have ...

p = 3a

q = 2.5b

and the trinomial you get when you multiply it out is ...

(3a)^2 + 2(3a)(2.5b) + (2.5b)^2

= 9a^2 + 15ab + 6.25b^2

The first and last of these terms are shown on the right side of the given expression, so to finish out the identity, you need to replace * with 15ab.

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2 years ago

Write an expression that is equivalent to 5×(6×7) . Use the same terms in your expression.

astraxan [27]

5 x (7x6)
Multiplication is commutative so u can swap the numbers around

6 0

3 years ago

The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height o

Anna11 [10]

The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?

let
x-------> the length of the base of the rectangular prism
y-------> the width of the base of the rectangular prism

we know that
volume of the prism=area of the base*height
volume=48 ft³
height of the prism=3/4 ft

area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft²

area of the base=64 ft²
area of the base=x*y
64=x*y--------> equation 1

y=x+2--------> equation 2

substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x²+2x------> x²+2x-64=0

using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft

the answer is
the length of the base of the rectangular prism is 7.062 ft
the width of the base of the rectangular prism is 9.062 ft

4 0

2 years ago

If it takes a leopard to run 500 yards in 1/2 a min how how many miles could it run in 2 hours

qaws [65]

Answer:120000

Step-by-step explanation:

bc in a minute their is 60 seconds and if the leoperd runs 500 yards every 30 seconds u would multiply 60 times 2 bc their is 60 min in a hour and u would get 120.then u would multiply that by 2 getting u 240 which is two hours then u would do 500 times 240

6 0

2 years ago

Factor x^6 + 12ax^3 + 20a^2​

Factor x^6 + 12ax^3 + 20a^2