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Lemur [1.5K]
3 years ago
11

Factor completely: 80x2 – 125

Mathematics
2 answers:
Paladinen [302]3 years ago
6 0

Answer:

5(4x-5)(4x+5)

Step-by-step explanation:

80x^2-125= \\\\5(16x^2-25)= \\\\5(4x-5)(4x+5)

Hope this helps!

Dahasolnce [82]3 years ago
4 0

Answer:

5( 4x-5)(4x+5)

Step-by-step explanation:

80x^2 – 125

Factor out a 5

5( 16 x^2 - 25)

Inside the parentheses is the difference of squares

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

We know the difference of squares is  (a^2 - b^2) = (a-b) (a+b)

5( 4x-5)(4x+5)

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What are the factors of 5x2 + 39x − 8?
prisoha [69]

Answer:

C. (5x - 1)(x + 8)

Step-by-step explanation:

In a factoring problem by hand, the common steps to solve would be the "AM" method, or (Add-Multiply). Simply stated, finding what adds to the x-coeficient and what multiplies to the constant. In this case, what adds to 39(x) and what multiplies to 8. Just reading that, we can see that there aren't any numbers that can do that, so we have to improvise. Set up the problem equal to something that it can factor into:

  1. <em>Multiply the 5 and -8</em> = -40: <em>this is what we will factor</em>
  2. <em>The factors with add to 39 are 40 and -1</em>.
  3. <em>Set up the problem:</em>

5x^{2}+39x-8 = 5x^{2}+40x-x-8

Now, we can fo the math:

5x^{2} -8 = 5x^{2} -8

8(5x - 1) + x(5x - 1)

<em>Factor (5x - 1) from this:</em>

(5x - 1)(x + 8)

And we have our answer.

4 0
2 years ago
The heaviest dinosaur is estimated to have welghed 2.8 x 10^5 pounds. The average car weighs about 4 x 10^3 pounds.
34kurt

Answer:

  70

Step-by-step explanation:

Apparently, you want the ratio of the weights:

  (dino weight)/(car weight) = (2.8×10^5)/(4×10^3)

  = (2.8/4)×10^(5-3) = 0.7×10^2 = 0.7×100

  = 70

The heaviest dinosaur weighed about 70 times the weight of an average car.

_____

Your calculator can do arithmetic in scientific notation. So can any spreadsheet.

The applicable rule of exponents is ...

  (10^a)/(10^b) = 10^(a-b)

4 0
2 years ago
The product of a number and nine is added to five. The result is thirty-
Nuetrik [128]

Answer:

The number is 11

Step-by-step explanation:

6x+38=9x+5

3x=33

x= 11

5 0
3 years ago
Each pair of figure is similar. Find the missing length
ExtremeBDS [4]

can you give more detail?

7 0
2 years ago
Read 2 more answers
What is the answer I’m not sure I’m right
trasher [3.6K]

Answer:

x=0

Step-by-step explanation:

If you combine like terms it is x^2 +6x -27=-27

x^2 +6x =0

x^2=0

x=0

3 0
3 years ago
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