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viva [34]
3 years ago
6

Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partia

l sum of the series, as a quadratic function, where x represents the term number.
Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
6 0

Answer: 3x2 + 51x

Step-by-step explanation:

omeli [17]3 years ago
5 0
a_n=48+3(2n-1)

The formula of the sum of the arithmetic sequence:
S_n=\dfrac{a_1+a__n}{2}\cdot n
calculate:
a_1=48+3(2\cdot1-1)=48+3=51
substitute
S_n=\dfrac{51+48+3(2n-1)}{2}\cdot n=\dfrac{99+6n-3}{2}\cdot n=\dfrac{96+6n}{2}\cdot n=3n^2+48n
Your answer is:
\boxed{f(x)=3x^2+48x}

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How do I round 47.999 to the nearest hundredth?
OlgaM077 [116]

Answer:

48

Step-by-step explanation:

47.999

The number in the thousands place is above 5, so add 1 to the digit in the hundreds places

47.90 + 0.09+0.01

47.9+0.1

48

8 0
3 years ago
Read 2 more answers
What is the slope line through (-9,-6) and (3,-9)?
chubhunter [2.5K]

Answer:

-1/4

Step-by-step explanation:

We can find the slope of the line given two points

m = (y2-y1)/(x2-x1)

   = (-9- -6)/(3- -9)

   = (-9+6)/(3+9)

    =-3/12

    = -1/4

8 0
3 years ago
A triangle T is bounded (on three sides) by the lines x = 6, y = 0, and y = 3 2 x. A rectangle of width w is inscribed inside T.
Viktor [21]

Answer:

33.85 units^2

Step-by-step explanation:

you must first draw the triangle on the plane using the equations (see

attached file), you will have a right angle triangle with a height of 192 and a base of 6.

then you calculate the angle with the tangent function = 88.21

Then you use the small triangle to find the value of a (see attached file).

Finally, you propose an equation for X to find one of the sides of the triangle, once you have x squared it, and you already have the area,

i attached procedure

7 0
3 years ago
Jeremy used 11 gallons and 3 quarts of water to water his garden. How many quarts of water did Jeremy use?
Anon25 [30]

Answer:

47

Step-by-step explanation:

since each gallon is 4 quarts you would multiply by 11. 44 quarts then add 3 extra quarts to get 47

6 0
2 years ago
A particle moves along a line with a velocity v(t)=t2−t−6, measured in meters per second. Find the total distance the particle t
ahrayia [7]

Answer:

10.67 m

Step-by-step explanation:

Velocity is given as;

v(t) = t² − t − 6

To get the distance, we will integrate the velocity equation.

x(t) = ∫v(t) = (t³/3) - (t²/2) - 6t

Thus, from t=0 seconds to t=4 seconds., we have;

(t³/3) - (t²/2) - 6t between 0 and 4.

Thus;

Total Distance = [(4³/3) - (4²/2) - 6(4)] - [(0³/3) - (0²/2) - 6(0)]

Total distance = (64/3) - 8 - 24 = -10.67 m

Distance can't be negative and so we take the absolute value which is 10.67 m

7 0
2 years ago
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