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Andreas93 [3]
3 years ago
8

What is the factored form of 5x^2-8x-4? need to show work!!!

Mathematics
2 answers:
SashulF [63]3 years ago
6 0

Answer:

(x - 2) (5x + 2)

Step-by-step explanation:

1. Use the sum-product pattern

5x^2 - 8x - 4

5x^2 + 2x - 10x - 4

2. Common factor from the two pairs

5x^2 + 2x - 10x - 4

x(5x + 2) - 2(5x + 2)

3. Rewrite in factored form

x(5x + 2) - 2(5x + 2)

(x - 2) (5x + 2)

wlad13 [49]3 years ago
5 0

Answer:

(5x+2)(x-2)

Step-by-step explanation:                      

  1.      5x^2-8x-4
  2.      5x^2-10x+2x-4
  3.      (5x^2-10x)+(2x-4)
  4.       5x(x-2) +2(x-2)
  5.      (5x+2)(x-2)           ✔️

                                                         

If you want to learn how I did this its below this message but its very complicated to write it out so I suggest watching a khan academy video or something.

                                                            Note: First Term is <u>5x^2</u>

                                                            Middle Term is <u>-8x</u> and Last Term is <u>-4</u>

                                                           Coefficient- The number in front of x

<h3>Step 1:   Write out problem          </h3><h3 />

5x^2-8x-4                            

<h3>Step 2: Using Diamond/Grouping method </h3>

           

Multiply first term coefficient and last term's coefficient

to get a number.                                                 5×-4    = -20    

Now find 2 numbers that can multiply into this number   ↑ and those 2 numbers also have to add up to the middle term (-8).

So basically find 2 numbers that multiply to -20 and add up to -8.    In this case those numbers are gonna be -10 and 2 because -10×2=-20 and -10+2=-8

<h3>Step 3: Split the Middle Term</h3>

Okay now rewrite the problem out           5x^2-8x-4

Now  rewrite it again but replace the -8x with the 2 numbers you got and add an x after the numbers.                   5x^2-10x+2x-4

Now split the problem into 2 parts:         (5x^2-10x)    +    (2x-4)

Now factor out the highest GCF out of the first section of the problem.  For this problem factor out 5x out of (5x^2-10x)

You now have 5x(x-2)    +   (2x-4)

Now factor out the next part of the problem which is 2 in this problem

Now you have this      <u>5x</u> (x-2)    +   <u>2</u> (x-2)

Now you take this        ↑   and this  ↑   and stick them inside a parenthesis.

You now have (5x+2)        to finish it off just take (x-2) and put it next to (5x+2)

Answer:   (5x+2)(x-2)

Congrats you probably didn't understand. Sorry for wasting your time if you didn't understand.

                                                                                 

<h2 />

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HELP!!!!!!!!! I DONT UNDERSTAND THIS
ValentinkaMS [17]

Answer:

x=86^{\circ}

y=94^{\circ}

z=54^{\circ}

Step-by-step explanation:

First, let's look at the largest triangle (two smaller triangles are combined) to solve for z. Since the sum of the angles in a triangle adds up to 180^{\circ}, we can write the equation:

20+74+32+z=180

z=180-126

z=54^{\circ}

Looking at the smaller triangle on the left, y (exterior angle) is the sum of the two opposite interior angles of the triangle on the left:

y=74+20

=94^{\circ}

Since x is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:

x=32+z

=32+54

=86^{\circ}

Hope this helps :)

6 0
2 years ago
What is the perimeter of this square?
ss7ja [257]
We need the square and the lengths of it to help you
8 0
2 years ago
Aiden spins the spinner shown 20 times. His results are shown in the table. What are the experimental and theoretical probabilit
harkovskaia [24]

Answer:D

Step-by-step explanation:

5 0
3 years ago
Dawn comma Sergio comma Tyrone comma and Jim have all been invited to a dinner party. They arrive randomly and each person arriv
professor190 [17]

Answer:

a. 24

b. 2

c. 0.0833 = 8.33%

Step-by-step explanation:

a.

The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.

So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive

b.

If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2

c.

If we have 2 cases where Dawn is first and Jim is last, from a total of 24 possible cases, the probability is 2/24 = 1/12 = 0.0833 = 8.33%

3 0
3 years ago
I need help fast with this! please (14 points)
sveta [45]

Answer:

<em>Part 1 : Equation: ( 3x - 9 ) + 30 + 24 = 180,</em>

<em>Part 2 : Value of x ⇒ 45°,</em>

<em>Part 3 : Measure of Angle U ⇒ 126°</em>

Step-by-step explanation:

~ Part 1 ~

We know that ∑ of angles in a triangle is 180;

m∠ U + m∠ V + m∠ W = 180°,

<em>Equation: ( 3x - 9 ) + 30 + 24 = 180</em>

~ Part 2 ~

Now let us simplify the equation above to solve for x;

3x - 9 + 30 + 24 = 180,

3x - 9 = 126,

3x = 135,

x = 45 degrees ( ° ) ⇒

<em>Value of x ⇒ 45°</em>

~ Part 3 ~

If it is known that m∠ U ⇒ 3x - 9;

m∠ U = 3 * ( 45 ) - 9,

m∠ U = 135 - 9,

m∠ U = 126 degrees ( ° ) ⇒

<em>Measure of Angle U ⇒ 126°</em>

6 0
3 years ago
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