Ask question

Ask question

All categories

3 years ago

10

Which of the following would be equivalent to

"3^{2}" align="absmiddle" class="latex-formula"> · $3^{5}$

1 answer:

murzikaleks [220]3 years ago

8 0

This would be 3^7= 2187.

For a number x and distinct numbers a and b, x^a * x^b= x^(a+b).

You might be interested in

Which of the following statements is not true of deductive reasoning? It is used when you solve an equation in algebra. It is us

erastova [34]

<u>Answer:</u>

"It is used when you solve an equation in algebra" is the untrue statement.

<u>Step-by-step explanation:</u>

"It is used when you solve an equation in algebra."

When you solve an algebra problem, you are not using deductive reasoning. You are using the information in front of you to correctly answer.

"It is used to make broad generalizations using specific observations."

This is exactly what deductive reasoning is, you are making generalizations and coming up with your own conclusions through observation.

"It is used to prove basic theorems."

This is also true, you can use deductive reasoning by using your specific observations and drawing conclusions to prove the theorems.

"It is used to prove that statements are true."

Using your own observations, you can draw your own conclusions to prove what you are saying is factual.

6 0

3 years ago

I need help asap ;)):):

Alenkasestr [34]

Answer:

third one

Step-by-step explanation:

2g+2>-4

g>-3

6 0

3 years ago

Read 2 more answers

6(x - 2) = 3x - 12 + 3x

Andrei [34K]

6(x-2)=3x-12+3x
6x-12=6x-12

3 0

3 years ago

Can someone please explain to me how to do this?

OLga [1]

Answer:

1. (-10x -5) -(-7x -4)

2. (-10x -5) -(-3x -1)

Step-by-step explanation:

The process of simplifying an expression generally involves eliminating parentheses, collecting terms, simplifying fractions, rationalizing denominators, removing appropriate factors from under radicals, and generally putting expressions into general form.

So, to accomplish what the problem is asking, you can create an expression that requires you accomplish as many or as few of these steps as you may like.

In general, you will want to both "do" and "undo" whatever operation(s) you may choose. For example, consider a couple of expressions "a" and "b". For this example, we want our final result to simplify to "a".

If we choose to add "b", we might have ...

(a+b) -b . . . . . we have both added and subtracted b, so the simplified result is "a"

If we choose to multiply by "b", we might have ...

(ab)/b . . . . . . we have both multiplied by b and divided by b, so the simplified result is again "a"

_____

We can solve both these problems at once by using ...

a = -3x -1
b = -7x -4

If we choose the first approach, we want an expression that is (a+b). That will be ...

a+b = (-3x -1) +(-7x -4) = -10x -5

By subtracting "b" from this expression, we get "a"--and vice versa. That is ...

(-10x -5) -(-7x -4) . . . simplifies to . . . -3x -1
(-10x -5) -(-3x -1) . . . simplifies to . . . -7x -4

_____

<em>Alternate solution to 2</em>

Suppose we choose to multiply instead. Let "b" be -3x+2. Then, using the template for multiplication above, we can write the expression

(-7x -4)(-3x +2)/(-3x +2) = (21x^2 -2x -8)/(-3x +2)

and we know this rational expression simplifies to -7x -4.

_____

Of course, we can be as elaborate as we might like in modifying the original expression. Whatever we do, we must also include the "undo" so the original expression is recovered when we simplify. To illustrate the point, we can add and subtract 2x from the above rational expression.

((21x^2 -2x -8)/(-3x +2) + 2x) - 2x = (21x^2 -2x -8 +2x(-3x +2))/(-3x +2) - 2x

= (21x^2 -2x -8 -6x^2 +4x)/(-3x +2) -2x

= (15x^2 +2x -8)/(-3x +2) -2x . . . . . . another alternate solution to #2.

If we're not careful, we can create an expression that is extremely difficult to simplify. The one we have here can be factored to be ...

(-5x -4)(-3x +2)/(-3x +2) -2x = -5x -4 -2x = -7x -4 . . . our original #2 expression

Knowing that it <em>can</em> be factored is a big help.

6 0

3 years ago

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 eac

Vikki [24]

Answer:

All are correct.

Step-by-step explanation:

Let x be the number of movies and y be the number of newly released video games.

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.

$20x+50y\leq 400$

Larry must purchase at least nine items.

$x+y\geq 9$

Check both inequalities of all given ordered pairs.

For (5,6),

$20(5)+50(6)\leq 400\Rightarrow 400\leq 400$

$5+6\geq 9\Rightarrow 16\geq 9$

Point (5,6) satisfy both inequalities.

For (10,4),

$20(10)+50(4)\leq 400\Rightarrow 400\leq 400$

$10+4\geq 9\Rightarrow 14\geq 9$

Point (10,4) satisfy both inequalities.

For (20,0),

$20(20)+50(0)\leq 400\Rightarrow 400\leq 400$

$20+0\geq 9\Rightarrow 20\geq 9$

Point (20,0) satisfy both inequalities.

For (15,2),

$20(15)+50(2)\leq 400\Rightarrow 400\leq 400$

$15+2\geq 9\Rightarrow 17\geq 9$

Point (15,2) satisfy both inequalities.

Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.

4 0

3 years ago