Answer:
D. 17,15,13,11
Step-by-step explanation:
The expression states that the next term in this sequence is formed by subtracting 2 from the preceding (n-1) result. We know that for n = 1 that f(1) = 17.
f(n) is f(n-1) - 2
so
f(2) = f(1) - 2
f(2) = 17 - 2 or 15
f(3) = f(2) - 2
f(3) = 15 - 2 or 13
f(4) = f(3) - 2
f(4) = 13 - 2 or 11
. . . .
. . . .
. . . .
and so on.
Answer:
y = 7/8x + 1
Step-by-step explanation:
According to y = mx + b, whereas b is the y-intercept
so if b is positive, b has to be larger than 0
A non-proportional graph is a straight line that does not go through the origin so
The #1 and #4 are wrong because they are proportional
The #2 and #4 are wrong because they have negative y-intercept
Answer:
Width of the box = 2 inches
Step-by-step explanation:
Volume of a box = length × width × height
Volume of the box = 240 cubic inches
Length of the box = (x + 8) inches
Width of the box = x inches
Height of the box = 12 inches
Volume of a box = length × width × height
240 = (x + 8) * x * 12
240 = (x² + 8x) * 12
240 = 12x² + 96x
12x² + 96x - 240 = 0
x² + 8x - 20 = 0
Solve quadratic equation using factorization method
x² + 10x - 2x - 20 = 0
x(x + 10) -2(x + 10) = 0
(x + 10) (x - 2) = 0
x + 10 = 0 OR x - 2 = 0
x = -10 OR x = 2
Width of the box can not be a negative value
Therefore,
Width of the box = 2 inches
Answer:
Since, the prime factors of 215 are 5, 43. Therefore, the product of prime factors = 5 × 43 = 215.
Step-by-step explanation:
may this answer is helpful for you
Answer: $742.20
Step-by-step explanation:
The payments will be divided between an interest and a principal payment.
The interest payment will be based on the balance at the beginning of the period and the rest of the payment will be the mortgage.
Balance at beginning of period = $72,000
Interest payment = (3.13% * 72,000) / 12 months
= $187.80
Amount going towards principal:
= Total payment - Interest payment
= 930 - 187.80
= $742.20
