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2 years ago

2x squared - 3x = 2x - 2

Mathematics

2 answers:

elena-s [515]2 years ago

4 0

Answer: x=1/2 or x=2

FinnZ [79.3K]2 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!!

You might be interested in

What is the volume of the right prism?

Tasya [4]

Volume=legnth times widht times height
since this is a rectangle and multiplication is commutative

doesn't matter what order wr multiply
V=5*5*12
V=300 in^3

4 0

3 years ago

Pls answer this question

eimsori [14]

Answer:

1) B

Step-by-step explanation:

The formula for the volume of a prism is h * l * w

So, if we do that we get 25/18

2) B

Lets say we talk the top surface, there are 30 cubes on that surface and we want to find the volume of one cube so we are going to divide by 50. we take the measurements which are 5/6 and 1 for the top surface and we multiply. We get an answer of 5/6 now we divide by 30

So...

5/6 * 1/30 (We switched the numbers around because we are dividing.)

5/6 * 1/30 = 5/180 now we can simplify this to 1/36.

5 and 180 are a factor of 5

Hope this helps

8 0

3 years ago

6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP

adelina 88 [10]

Answer:

The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Step-by-step explanation:

Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.

But,

<P = 048°

<Q = $360^{o}$ - $324^{o}$

= 0 $36^{o}$

Sum of angles in a triangle = $180^{o}$

<P + <Q + <S = $180^{o}$

048° + 0 $36^{o}$ + <S = $180^{o}$

$84^{o}$ + <S = $180^{o}$

<S = $180^{o}$ - $84^{o}$

= $96^{o}$

<S = $96^{o}$

Applying the Sine rule,

$\frac{y}{Sin P}$ = $\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin P}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin 48^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{y}{0.74314}$ = $\frac{17}{0.99452}$

⇒ y = $\frac{12.63338}{0.99452}$

= 12.703

y = 12.70 km

$\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{x}{Sin 36^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{x}{0.58779}$ = $\frac{17}{0.99452}$

⇒ x = $\frac{9.992430}{0.99452}$

= 10.0475

x = 10.05 km

Thus,

the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.

6 0

3 years ago

I do not see the mistake. Can someone please help me find it?

nikdorinn [45]

3rd one ( not 20 characters so ASHWDHWHEIUCNEJEIH)

4 0

3 years ago

Which of the numbers below belong to the solution set for x-7>3

beks73 [17]

It cant be 7 because,
X-7>3
7-7>3
0>3
And 0 is not bigger than 3

It cant be 9 because,
X-7>3
9-7>3
2>3
And 2 is not bigger than 3

So it is 11 because,
X-7>3
11-7>3
4>3
And 4 is bigger than 3

So the answer is 3) 11

5 0

3 years ago