I need a two column proof.

Simplify 5a+7b-12a+6c-13b-22a+53c

vekshin1

Answer:

−29−6+59

Step-by-step explanation:

5 0

3 years ago

A country is planning to decrease government spending in order to reduce the national debt. If the outlined changes are put into

SOVA2 [1]

Answer

Graph D represents the national debt of the country over the next years.

Solution-

The country's debt will decrease exponentially by one-third each year.

Current debt is $60 billion.

This problem can be treated as an exponential decay problem.

The general exponential decay function is,

$y=a(r)^{-x}$

Where,

a = initial value,

r = rate of change,

-ve sign of x represents the decrease in value of y as x increases.

Here, the rate of change is 3 as each year the debt becomes on third, and initial value of debt is $60, so

$y=60(3)^{-x}$

Plotting a graph taking number of year on x-axis and debt on y-axis, we can generate a graph for this function.

Putting different values of x, we can get the values of y. So the graph must have (0, 60), (1, 20), (2, 6.66), (3, 2.22), (4, 0.74), (5, 0.24) points on it.

Option B and C are incorrect, as they do not start from 60. (they don't have (0,60) on their curve)

Between option A and D, curve in D has all the points on it. So D is the correct graph.

5 0

3 years ago

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How to solve the equation 9v = 8 + v

zloy xaker [14]

Here are some things you should know when solving algebraic equations.

If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.

You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.

To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.

The distributive property is another important rule you will need to understand.

The distributive property is used mostly for simplifying parentheses in expressions/equations.

For example, how would you get rid of the parentheses here?

6(x + 1)

If there wasn’t an unknown in between the parentheses, you could just add then multiply. That is what the distributive property solves. The distributive property states that a(b + c) = ab + ac

So, now we can simplify our expression.

6(x + 1) = 6x + 6

Now let's solve your equation.

9v = 8 + v
8v = 8 <-- Subtract v from each side
v = 1 <-- Divide both sides by 8

So, v is equal to 1.

5 0

3 years ago

Your wife has asked you to pick up a bottle of her favorite shampoo. When you get to the store, you can't remember which brand s

Vlad1618 [11]

1 out of 9 is the probability

4 0

4 years ago

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What is the value of n in the equation below? A:-20 B:-9 C:9 D:20

Nikitich [7]

Answer is C:9
12^9/12^5 = 12^4

hope it helps

8 0

3 years ago

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