The linear formula for the sequence whose terms represent the percentage of americans who smoke n years after 2014 is:
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and for a time-dependent function, can also be interpreted as the initial value.
In this problem:
- The percentage of smokers in 2014 was 16.7%, hence the initial value is
- The percentage is decreasing by 5.6% each year, hence the slope is
.
Then, the <em>equation </em>is:
You can learn more about linear functions at brainly.com/question/24808124
For number 3 add all the numbers and divide how numbers you have
Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
Let's answer this step-by-step.
First of all, let's estsblish the original price of the commodity as being 100%. Therefore:
Original price of commodity = 100%
Then, when A sold the commodity to B, it was sold at a 10% profit. Therefore:
Price of commidity when A sold to B:
100% x 1.1 = 110%
After that, when B sold it back to A, it was sold at a 10% loss. Therefore:
Price of commodity when B sold to A:
110% x 0.9 = 99%
Hence, A now has 99% of the original value of the commidity.
Well all the factors of 32 are 1 and 32, 2 and 16, 4 and 8.
