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erik [133]
3 years ago
5

2x squared - 3x = 2x - 2

Mathematics
2 answers:
elena-s [515]3 years ago
4 0
Answer: x=1/2 or x=2
FinnZ [79.3K]3 years ago
4 0
2x^2 - 3x = 2x - 2
2x^2 -5x + 2


Factoring:
1. find the two numbers that multiply to equal ac (2 • 2) and add to equal b (-5)
The numbers = -4, -1

2. Extend the b term into these two numbers.
2x^2 -4x - x + 2

3. Group the first two terms and the last two terms to each other.
(2x^2 - 4x)(-x + 2)

4. Take out the GCF's in the parentheses sections. Note: the terms inside both of the parentheses should be equal, or you have done something wrong.
2x(x - 2) - 1(x - 2)

5. Group the GCF's together alongside the equivalent parentheses sections.
(2x - 1)(x - 2)


You're done here, but IF you want to find the solutions, you have to set each of the new parentheses sections to zero and solve for x.
2x - 1 = 0 >> 2x = 1 >> x = 1/2
x - 2= 0 >> x = 2


In conclusion, your solutions are x = 1/2 and x = 2, and your factored equation is (2x - 1)(x - 2)


Hope this helps!!
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What are the solutions to the equation (2x - 5) (3x - 1) = 0
SCORPION-xisa [38]

Answer:

x = 5/2 & x = 1/3

Step-by-step explanation:

Create two equations and solve

1) 2x-5 = 0 & 2) 3x-1 = 0

1) 2x = 5

x = 5/2

2) 3x = 1

x = 1/3

You create two equations as you want the left hand side (LHS) to equal 0 (RHS), thus if one of the brackets becomes 0 it will result in the whole LHS beocming 0 as the brackets are being multiplied (anything multiplied by 0 = 0)

6 0
3 years ago
How is finding the surface area of a three-dimensional figure related to the net of the figure?
andre [41]

Answer:

(B)The surface area is equal to the area of its two-dimensional net.

Step-by-step explanation:

The surface area of a 3D object is the sum of the areas of the various sides that make up this figure. Essentially, if you unroll the object into its 2D net, then the area that this net covers will be the surface area.

Think about a cube, for example. It has 6 square sides, so its surface area is the sum of the areas of those squares. If we take the net of the cube, it's also 6 squares, and if we sum those together, we'll get the same answer.

Thus, the answer is B.

8 0
3 years ago
Read 2 more answers
Help me asap thanks ! :)
pychu [463]

Answer 145°

Step-by-step explanation:

( 5x+5 ) + 40° = 15x - 5

[ Reason : exterior extended angle of a triangle is always equal to the sum of two non adjacent interior angles ]

( 5x+5 ) + 40° = 15x - 5

i.e, x= 10°

put this value of x on <PGF

= 15x - 5

= 15 * 10 - 5

=145°

6 0
3 years ago
I NEED HELP PLEASE, THANKS! :)
Alex787 [66]

Answer:

  4.097 s

Step-by-step explanation:

The formula for ballistic motion usually used is ...

  h(t) = -4.9t² +v₀t +s₀

where v₀ and s₀ are the initial vertical velocity and height, respectively. Here, we have v₀ = (35 m/s)sin(35°) and s₀ = 0. We want to solve for h(t) = 0.

  0 = -4.9t² +35sin(35°)t = t(-4.9t +35sin(35°))

This is true for t=0 and for ...

  t = 35sin(35°)/4.9 ≈ 4.09697 . . . seconds

It will take about 4.097 seconds for the projectile to reach the ground.

_____

<em>Comment on the graph</em>

Desmos has a setting option for angles in degrees. That is what we used here.

5 0
4 years ago
Sequence 1 8 27 64 125 _ what will be the next number?
ivolga24 [154]

Answer:

216

Step-by-step explaination

They are cubic numbers.

In the sequence;

if you cube 1, you get 1.

if you cube 2, you get 8.

if you cube 3, you get 27.

if you cube 4, you get 64.

if you cube 5, you get 125.

So if you cube 6, you get 216 and thus you're answer

4 0
3 years ago
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