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4 years ago

Factor 3x + 9 Please explain how you got the answer

1 answer:

3 0

To factor 3x + 9 you should know that 3 is a common factor of both 3 and 9, so you can factor 3 out in both numbers like this.

3x + 9

3(x + 3)

When you factor out 3 on both numbers you should know that 3 X 3 = 9 and since you factored out 3 there would be another 3 left so you would have the answer: 3(x + 3)

Here is another equation that might help:

24x + 36

Since 12 is a common factor of both numbers, factor 12 out of the equation:

12 (2x + 3)

You know that 12 x 2 = 24 and that 12 x 3 = 36

And since you can't factor out anymore numbers because 2 and 3 doesn't have any common factors with each other you get the answer:

12 (2x + 3)

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The population of a city is expected to

Furkat [3]

$\huge\boxed{1.0925p}$

Since the population is going to increase by a certain percentage, we have to add $100\%$ to the percentage to keep the original population.

$9.25\%+100\%=109.25\%$

Now, convert the percentage into a decimal. You can do this by moving the decimal place two places to the left.

$109.25\longrightarrow 1.0925$

Now, just multiply that by $p$ .

$\large\boxed{1.0925p}$

8 0

3 years ago

write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9

photoshop1234 [79]

Answer:

$\large\boxed{y=\dfrac{7}{2}x-18}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

$3x+4x=2y-9$

$7x=2y-9$ add 9 to both sides

$7x+9=2y$ divide both sides by 2

$\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}$

Parallel lines have the same slope. Therefore we have the equation:

$y=\dfrac{7}{2}x+b$

Put the coordinates of the point (4, -4) to the equation:

$-4=\dfrac{7}{2}(4)+b$

$-4=7(2)+b$

$-4=14+b$ subtract 14 from both sides

$-18=b\to b=-18$

Finally we have the equation:

$y=\dfrac{7}{2}x-18$

8 0

4 years ago

5.1 kilograms = __grams Answer here

kotykmax [81]

1 gram = .001 kg

5.1kg = 5100g

7 0

3 years ago

Compare how you would model and record finding the sum and difference of two rocks weighing 2/8 & 3/8 of a pound

ICE Princess25 [194]

Sum = 2/8 + 3/8 = (2+3)/8 = 5/8 pounds

Difference = 3/8 - 2/8 = (3-2)/8 = 1/8 pounds

7 0

3 years ago

Can the sides of a triangle have lengths 6, 6 , 15

dimaraw [331]

Answer:

I don't think it can, because the two smaller sides cannot have a sum of less than the third side. 6+6=12, and 12 is less than 15, so it cannot be possible. You can even test this out on a piece of paper and you will see that it is not possible.

5 0

3 years ago

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