what is f(-3) is another way to say "what is the value of f(x) when x = -3?", well for that we can simply look at the piece-wise function graphed, Check the picture below.
To find the area you multiply l x w so, to find the sides you do the opposite, sq root of 24,200 (we can use the square root because we know it is a square and all sides are equal)=155.563492. This is only the length of one side. 155.563492*4=622.253968 which is a rational number.
The perimeter is a rational number.
Answer:
B, C, and E
Step-by-step explanation:
Let's consider each option given the graph shown above:
A. The ratio of x/y can be found using any point on the line, say, (5, 6). Thus, ratio of x/y = 5/6, not 6/5.
Option A is not correct.
B. If you check for y/x for any given point along the line, we would have the same result. So the ratio of y/x is consistent. Option B is correct.
C. The graph has a line that runs through the point of origin, so therefore, it represents a proportional relationship.
Option C is correct
D. If option C is correct, then option D is not correct.
E. If option C is correct, then option E is correct.
Hi there!
To solve, we can use right triangle trig.
We are given the value of ∠A, and side "x" is its adjacent side. We are also given its opposite side, so:
tan (A) = O / A
tan (33) = 25 / x
Solve:
x · tan(33) = 25
x = 38.49 ≈ 38.5
Answer:
11.4 years
Step-by-step explanation:
We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.
FV = P(1 +r/n)^(nt)
for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...
6400 = 1200(1 +0.15/4)^(4t)
16/3 = 1.0375^(4t) . . . . divide by 1200
log(16/3) = 4t·log(1.0375) . . . . take logarithms
t = log(16/3)/(4·log(1.0375)) ≈ 11.4
It will take about 11.4 years for Lucy's investment value to be $6400.