Answer:
The slope is fraction negative 1 over 2 throughout the line.
Step-by-step explanation:
The slope (m) of a line is computed as follows
m = (y2 - y1)/(x2 -x1)
where (x1, y1) and (x2, y2) are the coordinates of 2 points of the line. Taking, for example, points (0, 0) and (-4, 2), the slope is:
m = (2 - 0)/(-4 -0) = -1/2
Then, the slope is -1/2 throughout the line.
2x – y = –2
x + 2y = 24
x – 2y = –16
B. –6 < x ≤ 3
C. –6 ≤ x ≤ 3
D. –6 < x < 3
Answer:
$181,432,754
Step-by-step explanation:
We use the formula for compound interest here, to determine the amount
Mathematically, that would be;
A =I (1 + r/n)^nt
where A is the amount which we want to calculate
I is the initial amount which is $90,000
r is the rate = 23.24% = 23.24/100 = 0.2324
n is the number of times per year the interest is compounded = 12 (compounded monthly)
t is the number of years = 2014 - 1981 = 33
Substituting these values, we have;
A = 90,000(1 + 0.2324/12)^(33 * 12)
A = 90,000(1 + 0.0194)^396
A = 90,000(1.0194)^396
A = 181,432,754.27210504
Which is approximately $181,432,754 to the nearest whole dollars
(-4,6]
(0,11]
[-4,6)
Given:
The piecewise function is
To find:
The range of given piecewise function.
Solution:
Range is the set of output values.
Both functions and as linear functions.
Starting value of is at x=-4 and end value is at x=3.
Starting value:
End value:
Starting value of is at x=3 and end value is at x=6.
Starting value:
End value:
Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.
Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.
So, the range of the given piecewise function is [0,11).
Therefore, the correct option is A.