Answer:
(0, 1): Answer D
Step-by-step explanation:
The three given vertices are (0٫ 4)٫(8٫ 4) and (8٫ 1). Note that the x-coordinates of two of these are both 8. The remaining x-coordinate of the fourth vertex is 0. Since the figure is a rectangle, there are two sets of parallel sides. If one side is x = 8, the opposite vertical side must be x = 0, since the remaining coordinate is 0. This side is a vertical line segment. The fourth and last vertex is at the intersection of x = 0 and y = 1; (0, 1): Answer D.
That'd be 10^3 * 6*10^(-3), or just 6.
The first term is 138
The difference is 55
The iterative rule for the amount of money Mr Speas has after n weeks is
55/2 n² + 221/2 n
During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.
The first term will be 138 .
The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…
The difference = 193 - 138 = 55.
The iterative rule for the amount of money Mr Speas has after n weeks can be represented below
n = number of weeks
a = first term = 138
d = common difference = 55
Using AP formula,
sₙ = n/2(2a + (n - 1)d)
sₙ = n/2 (2(138)+ (n - 1)55)
sₙ = n /2(276 + 55n -55)
sₙ = n /2(221 + 55n)
sₙ = 55/2 n² + 221/2 n
read more: brainly.com/question/20373665?referrer=searchResults
Answer:
9.75
Step-by-step explanation:
6.5= 20% of 32.50
32.50+6.5= 39
39/4 = 9.75
X^2 + 2x < 8
x^2 + 2x - 8 < 0
(x + 4)(x - 2) < 0 ,,
{x + 4 < 0 and x - 2 > 0} or {x + 4 > 0 ,,and x - 2 < 0} ,,
{x < -4 and x > 2} or {x > -4 and x < 2},,
Discard x < -4 and x > 2 because it has no solutions, leaving just
x > -4 and x < 2 ,,
-4 < x < 2
