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3 years ago

Distribute and Simplify: (p + 3)5

Mathematics

1 answer:

Tanzania [10]3 years ago

4 0

Answer:

5p+5

Explanation:

5(p+3)

(5*p)+(5*3)

5p+5

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Write the elements belonging to the set {x|x is a natural number less than 10

Feliz [49]

Answer:

The set A = { 1,2,3,4,5,6,7,8,9}

Step-by-step explanation:

Step(i):-

Given that the set

{ x/x/ is a natural number less than 10 }

Natural numbers :

The natural numbers are

{ 1,2,3,4,5,6,7,8,9,10,.........}

The set A = { x/x/ is a natural number less than 10 }

The set A = { 1,2,3,4,5,6,7,8,9}

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3 years ago

If 25% of a number is 12, what is 75% of that number?

snow_tiger [21]

Answer:

Step-by-step explanation:

$\frac{0.25}{0.75} =\frac{12}{x} \\$

$0.75 *12=9$

$\frac{9}{0.25} =36$

8 0

3 years ago

Transform the given function f(x) as described.

Helen [10]

Answer:

g(x) = -|x| + 1

Step-by-step explanation:

Let g(x) be the transformation function

-|x| reflects f(x) across the x-axis. Add 1 to move the result up one unit

So, g(x) = -|x| + 1

3 0

3 years ago

How does it factor out as that?

eimsori [14]

To factor out you have to think what multiples to AC and adds to B.

Ax^2+Bx+C

So... for this problem AxC=1x-24 or -24

B is -2.

So what two numbers multiply to -24: -3x8, -8x3, -4x6, -6x4, -2x12, -12x2.

Out of these, which adds to -2: -6+4=-2.

So the factors are (d-6)(d+4)

OR the longer way, which you really only use if A is not equal to 1.

Use the terms above and then rewrite the equation with two middle terms: d^2+4d-6d-24

Group the terms by using addition: (d^2+4d)+(6d-24)

Find what they have in common and factor it out. For the first, it's d. They both have d. So: d(d+4)
To check this, distribute the d. It should equal the first set lf parenthesis.

For the second, they have a number in common. 6 is a multiple of 24 so you can take that out: -6(d+4)

If the terms inside the parenthesis are the same, that's good. It means we can pair the insides and the outsides together to form the factors.

The two terms outside the parenthesis: d, -6 group together and become (d-6)

The inside terms stay the same: (d+4)

(d-6)(d+4)

Again, this is the longer way and no necessary for a problem like this. But if it was 2d^2, then this would be perfecf.

6 0

3 years ago

What is the area of the triangle? Help plz

Lunna [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

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