Hey there!
In our slope-intercept equation, b is the y-intercept, where the line crosses the y-axis. In our case, that happens to be -5, because that's where the line intersects the axis.
Now, we're finding m, or the slope. The slope is defined as rise over run. We can use our slope given two points formula, y2-y1/x2-x1 to find the slope.
For our two points, we'll use the intercept: (0,-5) and the other intercept: (6,0)
Let's plug in our values:
0-(-5)/6-0 =
5/6
Therefore, 5/6 is the slope.
Hope this helps!
Answer : $60
Steps for Solving :
$150/10 (to get 10 parts)
=15
15•4 (to get 40%)
=60
Answer:
15,000
Step-by-step explanation:
1912* 8 =15,296
To the nearest thousand = 15,000
The derivative is the rate of change of a function, basically represents the slope at different points. To find the derivative of the given function you can use the power rule, which means, if n is a real number, d/dx(x^n)= nx^(n-1). This is a simplification of the chain rule based on the fact that d/dx(x)=1. Anyway, this means that d/dx(x^3 + 1)= 3x^2. Here n is 3 and so it is 3*x^(3-1)= 3x^2. The derivative of x^3+1 is 3x^2.
If you are wondering what happened to the 1, for any constant C, d/dx(C)=0.
Answer:
2/6561
Step-by-step explanation:
Geometric sequence formula : 
where an = nth term, a1 = first term , r = common ratio and n = term position
given ratio : 1/3 , first term : 2 , given this we want to find the 9th term
to do so we simply plug in what we are given into the formula
recall formula :
define variables : a1 = 2 , r = 1/3 , n = 9
plug in values
a9 = 2(1/3)^(9-1)
subtract exponents
a9 = 2(1/3)^8
evaluate exponent
a9 = 2 (1/6561)
multiply 2 and 1/6561
a9 = 2/6561
