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Flura [38]
2 years ago
14

Factor out the common factor. 2x4 + 5x3 – 8x –20 (x3 + 4)(–2x – 5) (x3 – 4)(2x + 5) (x3 + 4)(2x + 5)

Mathematics
2 answers:
Brums [2.3K]2 years ago
7 0

Answer:

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

Step-by-step explanation:

2x^4 + 5x^3 - 8x -20

To factor this we use grouping method

(2x^4 + 5x^3)+(- 8x -20)

Take out GCF from each group. x^3 is the GCF for first group and -4 is the GCF from second group

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

Now we factor out 2x+5

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

horsena [70]2 years ago
4 0

Answer:

The common factor is (x3 – 4)(2x + 5)

Step-by-step explanation:

1. find gcf

2. factor out the gcf

3. use grouping

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Brian's backsplash in her kitchen is made up in squares ​
zzz [600]

Answer: squares

Step-by-step explanation:

Squares

8 0
2 years ago
The longest and shortest sides of a right triangle measure  39 centimeters and  15 centimeters , respectively what
Dmitrij [34]
Answer: 36 cm


Explanation: Use Pythagorean Theorem to solve the question: a^2+b^2=c^2
3 0
3 years ago
Solve using substitution<br> y=3x-5<br> 2x+5y=-42
Paul [167]

Answer:

Solution point is (-1,-9)

Step-by-step explanation:

Put the value of y in the first equation into the second equation.

  • 2x + 5(3x - 5) = - 42            Remove the brackets on the left
  • 2x + 15x - 25 = - 42            Combine like terms on the left
  • 17x - 25 = - 42                     Add 25 to both sides
  • 17x - 25 + 25 = - 42 + 25    Do the addition
  • 17x = - 17                              Divide by 17
  • 17x/17 = -17/17                      Do the division
  • x = - 1    

=======

Solve for y

  • y = 3x - 6
  • x = -1
  • y = 3(-1) - 6
  • y = -3 - 6
  • y = - 9
6 0
3 years ago
Carter drank 15.75 gallons of water in 4 weeks. He drank the same amount of water each day. Estimate how many gallons he drank i
Umnica [9.8K]

Answer:

Carol drank 0.5625 gallon of water in one day.

Step-by-step explanation:

Carter drink 15.75 gallons of water in 4 weeks. Each week consists of 7 days, then there are days in for weeks.

So, it is 15.75 divided by 28 (28 days in 4 weeks)

3 0
3 years ago
Read 2 more answers
Answer the following equation: 1/2(x + 20) = 17/4x + 4 (6 - x)
zzz [600]
So use distributive property
which is
a(b+c)=ab+ac so
1/2(x+20)=1/2x+10

and the other
4(6-x)=24-4x

so now we have
1/2x+10=17/4x+24-4x
convert -4x to -16/4x and add to the 17/4x
1/2x+10=1/4x+24
subtract 24 from boths ides
1/2x-14=1/4x
multily both sides by 4
2x-56=x
subtract x from both sides
x-56=0
add 56 to both sides
x=56
8 0
3 years ago
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