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3 years ago

Solve the following: 2x - 2 = 4x + 6

Mathematics

1 answer:

olchik [2.2K]3 years ago

5 0

Answer:

x = -4

Step-by-step explanation:

Step 1: Subtract 2x from both sides

2x - 2 - 2x = 4x + 6 - 2x

-2 = 2x + 6

Step 2: Subtract 6 from both sides

-2 - 6 = 2x + 6 - 6

-8 = 2x

Step 3: Divide both sides by 2

-8 / 2 = 2x / 2

-4 = x

Answer: x = -4

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I need this assignment done will give brainliest and extra points.

Travka [436]

Answer:

1a.2.5x³-2.25x²+3.5x-1.5

1b.No, they aren't equal. (worked out the product for both and they weren't equal, see below)

2a.-2x⁶+7x⁴+3x³-3x²+11x+20

2b.Yes. When multiplying, it doesn't matter which term/expression you put first

3. The equation has two solutions: x=-2, x=3

Step-by-step explanation:

1. (a)

(0.5x-0.25)(5x²-2x+6)

0.5x(5x²-2x+6)-0.25(5x²-2x+6)

2.5x³-x²+3x -1.25x²+0.5x-1.5

2.5x³-2.25x²+3.5x-1.5

(b)

(0.25x-0.5)(5x²-2x+6)

0.25x(5x²-2x+6)-0.5(5x²-2x+6)

1.25x³-0.5x²+1.5x -2.5x²+x-3

1.25x³-3x²+2.5x-3

This is not equal to our answer for 1(a), so we can see they're not the same.

2(a)

(-2x³+x-5)(x³-3x-4)

-2x³(x³-3x-4) +x(x³-3x-4) -5(x³-3x-4)

-2x⁶+6x⁴+8x³ +x⁴-3x²-4x -5x³+15x+20

-2x⁶+7x⁴+3x³-3x²+11x+20

(b)

Yes. When multiplying, it doesn't matter which term/expression you put first: xy=yx. For example, 2(3)=6 and 3(2)=6.

2x²-2x-12=0

(divide each term by 2)

x²-x-6=0

(x+2)(x-3)=0

Anything multiplies by zero is zero, so either x+2=0 or x-3=0

If x+2=0, x=-2. If x-3=0, x=3.

The equation has two solutions: x=-2, x=3

8 0

3 years ago

List the intergers below

Monica [59]

Answer:

All integers that are below 0 is -1, -4, -2, -8, and -7.

5 0

3 years ago

The table shows the results of a survey on people’s favorite fruit. What percent of the people chose strawberry as their favorit

Sphinxa [80]

Answer:

24.2%

Explanation:

The percentage of people choosing strawberry can be calculated as follows:

$Percentage = \frac{PeopleChoosingStrawberry}{TotalNumberOfSurveyedPeople} * 100$

We have:

Number of people choosing strawberry = 15 people

Total number of surveyed people = 17 + 10 + 17 + 3 + 15 = 62 people

Substitute in the above rule to get the percentage as follows:

$Percentage = \frac{15}{62}*100 = 24.19 = 24.2$ %

Hope this helps :)

3 0

3 years ago

Jeff has 4 red pens and 2 blue pens in his backpack. He also has 1 yellow highlighter and 4 green highlighters in his

Romashka-Z-Leto [24]

Answer:

$\frac{1}{15}$

Step-by-step explanation:

In probability,

"AND" means "multiplication"

"OR" means "ADDITION"

We want probability of Blue Pen and Yellow Highlighter. So we find individual probabilities and "MULTIPLY" them.

Let P(b) be probability of blue pen

Let P(y) be probability of yellow highlighter

We know probability of event is that event divided by total number of that

So,

There are 4 + 2 = 6 pens

Blue pen = 2

Hence,

P(b) = 2/6 = 1/3

And,

There are 5 highlighters

Yellow highlighter = 1

Hence,

P(y) = 1/5

Now,

P(b and y) = 1/3 * 1/5 = 1/15

Hence,

probability of grabbing blue pen and a yellow highlighter is $\frac{1}{15}$

3 0

3 years ago

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If you answer this, i might give you 3 extra points (:

rodikova [14]

Jewelery maker has
24 jade beads
30 teak Beads
So we need to find the highest common factor for both 24 and 30
The factors for both numbers are
24 -1,2,3,4,6,8,12,24
30 - 1,2,3,5,6,10,15,30
The highest common factor for both is 6
The greatest number of necklaces she can make is 6
Number of jade beads - 24/6 = 4 jade beads
Number of teak beads - 30/6 = 5 teak beads
So each necklace will have 4 jade beads and 5 teak beads

7 0

3 years ago

Read 2 more answers