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exis [7]
3 years ago
10

5x + 2 – 2(x - 1) = 3x + 4 PLS HELP !

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0

Answer:

5x + 2 - 2(x - 1) = 3x + 4

⇔ 5x + 2 - 2x + 2 = 3x + 4

⇔ 3x + 4 = 3x + 4

⇔ 4 = 4

⇒ infinite solutions

Step-by-step explanation:

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Factorise 2x^2 - 3x -2 < 0
Galina-37 [17]
Step 1: Factor 2 x^{2} - 3x -2
1. <span> Multiply 2 by -2, which is -4.</span>
2. <span>Ask: Which two numbers add up to -3 and multiply to -4?
</span>3. <span>Answer: 1 and -4
</span>4. Rewrite -3x as the sum of x and -4x

2 x^{2} +x-4x-2\ \textless \ 0


Step 2: <span>Factor out common terms in the first two terms, then in the last two terms.

</span>x(2x+1)-2(2x+1)\ \textless \ 0
<span>
Step 3: </span>Factor out the common term 2x+1

(2x+1)(x-2)\ \textless \ 0

Step 4: Solve for x

1. Ask: When will (2x+1)(x-2) equal zero?
2. Answer: When 2x + 1 = 0 or x-2=0
3. <span>Solve each of the 2 equations above:

</span>x=- \frac{1}{2} ,2
<span>
Step 5: </span>From the values of x <span>above, we have these 3 intervals to test.
x = < -1/2
-1/2 < x < 2
x > 2

Step 6: P</span><span>ick a test point for each interval

</span>For the interval x\ \textless \ - \frac{1}{2} &#10;
Lets pick x=-1. Then, 2(-1) ^{2} -3 * -1 -2 \ \textless \  0
After simplifying, we get 3\ \textless \ 0, Which is false. 
Drop this interval.
<span>
For this interval - \frac{1}{2} \ \textless \ x\ \textless \ 2
Lets pick x=0. Then, 2* 0^{2} - 3 * 0-2\ \textless \ 0. After simplifying, we get -2\ \textless \ 0, which is true. Keep this <span>interval.

For the interval </span>x\ \textgreater \ 2

Lets pick x = 3. Then, 2 * 3  ^{2} -3*3-2\ \textless \ 0. After simplifying, we get 7\ \textless \ 0, Which is false. Drop this interval.

.Step 7: Therefore, 
- \frac{1}{2} \ \textless \ x\ \textless \ 2

Done! :)</span>
4 0
3 years ago
Multiply out 5x (x + 3y)
GrogVix [38]

Answer:

5x²+15xy

Step-by-step explanation:

5x(x+3y)=

5x²+15xy

If you need more steps or more explanation, reply to this answer.

7 0
3 years ago
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it's a shame 1 hour and 45 minutes to pick 3 1/2 pounds of raspberry at what unit rate did she pick raspberries ​
Veseljchak [2.6K]

Answer:2 pounds per hour

Step-by-step explanation:

5 0
3 years ago
How many 1/5 inch ribbons can you cut from a 5-inch ribbon?
sukhopar [10]
5 pieces of 1/5 in 1 inch....5 inches...so 5*5 = 25
7 0
3 years ago
I need help with two questions, and an explanation on how to do them please
Lilit [14]

$39 multiply that by 1/3  OR  39 divide that by 3 . That will get 13 .

39 multiply that by 1/3 OR 39 divide that by 4 . You will get 9.75

Add 13 and 9.75  

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Now you subtract 39 - 22.75

You will get 16.25

6 0
3 years ago
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