Answer:
<em>0m</em>
Step-by-step explanation:
Before the ball is thrown, it is at the ground level. At the ground level, the height is zero. Substitute h = 0 into the equation;
h(x)=-x^2+10x-16
0=-x^2+10x-16
x^2-10x+16 = 0
Factorize
x^2-8x-2x+16 = 0
x(x-8) - 2 (x-8) = 0
x-2 = 0 and x - 8 = 0
x = 2 and 8
At x = 2
h(2) = -2^2 + 10(2) - 16
h(2) = -4 + 4
h(2) = 0
<em>Hence the height of the ball at the time it is thrown is 0m</em>
Answer:
"The percentage change of a ratio of two variables is approximately the percentage change in the numerator <u>minus</u> the percentage change in the denominator."
Step-by-step explanation:
The percent change in a number is determined by dividing the difference between the new number and original number by the original number and multiplying the result by 100.
Suppose the original ratio of two numbers is: 
.
And the new ratio is: 
The percent change is:
Thus, the complete statement is:
"The percentage change of a ratio of two variables is approximately the percentage change in the numerator <u>minus</u> the percentage change in the denominator."
Answer:
-1.39
Step-by-step explanation:
Revenue and cost as a function of units sold are 
and
respectively.
we are have to know for which value or input units are these functions at maximum which translates to for how many units is the revenue maximum and for how many same units is our cost minimum.
Answer:
a[n] = a[n-1]×(4/3)
a[1] = 1/2
Step-by-step explanation:
The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.
The general explicit term of a geometric sequence is ...
a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio
Comparing this to the expression you are given, you see that ...
a[1] = 1/2
r = 4/3
(You also see that parenthses are missing around the exponent expression, n-1.)
A recursive rule is defined by two things:
- the starting value(s) for the recursive relation
- the recursive relation relating the next term to previous terms
The definition of a geometric sequence tells you the recursive relation is:
<em>the next term is the previous one multiplied by the common ratio</em>.
In math terms, this looks like
a[n] = a[n-1]×r
Using the value of r from above, this becomes ...
a[n] = a[n-1]×(4/3)
Of course, the starting values are the same for the explicit rule and the recursive rule:
a[1] = 1/2
