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Naily [24]
3 years ago
9

Please help with these problems! Will mark answer as brainliest and give 30 points. You have to show your work for each problem.

Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0

Answer:

1) (2x + 2)(x + 2)

2)  2(x + 1)(x - 1)

3) (x^2 + 3)(x^2 - 3)

4) 2x(x + 5)(x - 2)

5) (5x + 2y)(5x - 2y)

Step-by-step explanation:

1)

2x^2 + 6x + 4

= 2x^2 + 4x + 2x + 4

= 2x(x + 2) + 2(x + 2)

= (2x + 2)(x + 2)

2)

2x^2 - 2

= 2(x^ 2 - 1) (The difference of two squares)

= 2(x + 1)(x - 1)

3)

x^4 - 9 (The difference of two squares)

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

4)

2x^3 + 6x^2 - 20x

= 2x(x^2 + 3x - 10)

= 2x(x + 5)(x - 2)

5)

25x^2 - 4y^2         (The difference of two squares)

= (5x + 2y)(5x - 2y)

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What percentage of a dollar is the value of each coin combination?
Brut [27]

Answer:

Step-by-step explanatinon:

percent is per hundred

4 dimes is  40 cents or $0.40 or 40/100 of a dollar which is40%

1 nickel and 3 pennies or 8 cents or $0.08 Or 8/100 or 8%

5 quarters and one dime is 135/100 or  $1.35 or 135/100 which is 135%

5 0
3 years ago
HELP HURRY WILL GIVE BRAINLIEST
rusak2 [61]

Answer:

That's all you're doing is writing the equation for two lines and finding out where they intersect. The slope is how much the price is increasing or decreasing and the y-intercept is where the price is starting at.

x = number of hours

y = mx + b = 0.12(x + 3) + 15.21     {It's (x + 3) because we have to add the 3 hours between 9 and noon}

y = mx + b = -0.11x + 15.96       {The slope is negative because the price is decreasing}

Set them equal to each other

0.12(x+3) + 15.21 = -0.11x + 15.96

Now solve for x

0.12x + 0.36 + 15.21 = -0.11x + 15.96

0.12x + 15.57 = -0.11x + 15.96

0.12x + 0.11x = 15.96 - 15.57

0.23x = 0.39

x = 0.38 / 0.23 = 1.7 hours

Convert 0.7 into minutes

0.7 hours * (60 min / 1 hour) = 42 min

So the prices are the same 1 hour and 42 min after noon, which is 1:42 PM

Step-by-step explanation:

3 0
2 years ago
Find two consecutive positive integers such that the square of the first decreased by
dsp73

Answer:

2 is the answer

Step-by-step explanation:

hope it helps

7 0
2 years ago
3/2x-4=20<br> Solve for x
Thepotemich [5.8K]
3/2x-4=20

We simplify the equation to the form, which is simple to understand
3/2x-4=20

We move all terms containing x to the left and all other terms to the right.
+2x=+20+4

We simplify left and right side of the equation.
+2x=+24

We divide both sides of the equation by 2 to get x.
x=12
4 0
3 years ago
Read 2 more answers
Your model locomotive is 16 inches long. It is an exact model of a locomotive that is 40 feet long. A window on the locomotive i
In-s [12.5K]
Here you have to use proportionality,
1 feet is 12 inches so 40 feets is 480 inches
Then the real locomotive is 480/16=30 times wider then the model
And then a window on the real locomotive is 30 times wider then the model..
5 0
4 years ago
Read 2 more answers
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