Answer:
3/2
Step-by-step explanation:
Pick two points on the graph
(-1,2) and (3,8)
We can use the slope formula
m= ( y2-y1)/(x2-x1)
= ( 8-2)/(3 - -1)
= (8-2)/(3+1)
= 6/4
= 3/2
Answer:
Step-by-step explanation:
Let's first understand what percentage of the population actually exists after the decrease.
<h3>100% - 35% = 65% of the population.</h3>
We'll now convert 65% into a decimal. We can convert percentages into decimals by dividing the percentage by 100.
<h3>0.65 / 100 of the population.</h3>
We'll now make an equation.
<h2>0.65x = 29,900</h2><h2>x = 46,000.</h2><h3>Keep in mind that x, in the equation, is to represent the previous population. When you multiply it by 0.65, you're representing 65% of x which is also equal to 29,900. When you multiply the equation by (100/65) on each side, you find out the previous population is 46,000.</h3><h2>If you have issues or difficulties, feel free to contact me.</h2>
Answer:
We have the sentence:
"X by the power of 5 times y to the power of 6 over 2 by the power of -2 times x by the power of 0times x by the power of 9"
Let's break it into parts.
"X by the power of 5 times y to the power of 6..."
This can be written as:
x^5*y^6
"... 2 by the power of -2 times x by the power of 0times x by the power of 9"
This can be written as:
2^(-2)*x^(0)*x^(9)
And we have the quotient between the first thing and the second thing, then the equation is:

And any number by the power of 0 is equal to 1, then:
x^0 = 1, then we can rewrite the equation as:

We can keep simplifying this.
We know that:
a^(-n) = (1/a)^(n)
Then:
2^(-2) = (1/2)^2 = 1/4
Then we get:

And we also know that:
a^n/a^m = a^(n - m)
Then:

And we can't simplify this anymore.
Answer:
parallel
Step-by-step explanation:
Because the 2 line have same slopes but different y int, they are parallel
Answer:

Step-by-step explanation:
The sum you are trying to understand is this.

Remember that in general when you have a geometric series
you have that
and that equality is true as long as
.
Therefore here we have
and 
Therefore we can use the formula and
