Which equation best represents a trend line for the scatter plot? These are fractions BTW.

Mathematics

2 answers:

kenny6666 [7]2 years ago

6 0

(1, 8) and (7,1)
slope = (8-1)/(1-7) = -7/6
y = mx + b
b = y - mx
b = 8 - (-7/6)(1)
b = 8 + 7/6
b = 55/6

equation
y = -7/6(x) + 55/6

answer
y=−7/6 x+55/6

RUDIKE [14]2 years ago

5 0

A would Be your answer

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Consider the integral 8 (x2+1) dx 0 (a) Estimate the area under the curve using a left-hand sum with n = 4. 250 Is this sum an o

Leya [2.2K]

Answer:

(a) 120 square units (underestimate)

(b) 248 square units

Step-by-step explanation:

(a) left sum

See the attachment for a diagram of the areas being summed (in orange). This is the sum of the first 4 table values for f(x), each multiplied by 2 (the width of the rectangle). Quite clearly, the curve is above the rectangle for the entire interval, so the rectangle area underestimates the area under the curve.

left sum = 2(1 + 5 + 17 + 37) = 2(60) = 120 . . . . square units

(b) right sum

The right sum is the sum of the last 4 table values for f(x), each multiplied by 2 (the width of the rectangle). This sum is ...

right sum = 2(5 +17 + 37 +65) = 2(124) = 248 . . . . square units