Answer:
Step-by-step explanation:
(7x-3)(12x-7)
we are solving for x and we are multiplying.
we start with the x's 7x*12x= 84x
-3*-7=21
so now we have
84x+21=0
the 0 is a placer for answering the question
we minus 21 to both sides
84x=-21
now we divide
84/-21= -4
x=-4
Answer:
21,550
Step-by-step explanation:
An increase of 5% means the population is multiplied by 100% +5% = 1.05. This occurs each year for 12 years, so the multiplier is ...
1.05¹² ≈ 1.7958563
When the initial population is multiplied by this factor, it becomes ...
12,000×1.7958563 ≈ 21,550
Greetings!
To start this problem, let's first assign a variable for the missing, consecutive odd numbers. Since they are consecutive and odd, we add two.
<u>Proof:</u> <em>3-1=2, 5-3=2</em>
The first, consecutive, odd number: 
The second, consecutive, odd number: 
The third, consecutive, odd number: 
The fourth, consecutive, odd number: 
The sum of the values are equal to 3 times the sum of the first two numbers, of which this is equal to 35 less than the fourth number. Let's create an equation to simplify this:

Complete the operations inside the parenthesis:

Distribute the parenthesis (utilizing the distributive property)


Simplify both sides:

Add -6 and -x to both sides of the equation:


Divide both sides of the equation by 5:


If
is equal to -7:



The four numbers are:

I hope this helps!
-Benjamin