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3 years ago

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:

5x^2-8x-4
5x^2-10x+2x-4
(5x^2-10x)+(2x-4)
5x(x-2) +2(x-2)
(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 :)

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2 years ago

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ss7ja [257]

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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]

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Step-by-step explanation:

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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:

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

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

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>

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3 years ago