Solving:
-7 + y = 3 + 2y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-7 + y + -2y = 3 + 2y + -2y
Combine like terms: y + -2y = -1y
-7 + -1y = 3 + 2y + -2y
Combine like terms: 2y + -2y = 0
-7 + -1y = 3 + 0
-7 + -1y = 3
Add '7' to each side of the equation.
-7 + 7 + -1y = 3 + 7
Combine like terms: -7 + 7 = 0
0 + -1y = 3 + 7
-1y = 3 + 7
Combine like terms: 3 + 7 = 10
-1y = 10
Divide each side by '-1'.
y = -10
Hope it helps. (:
Answer:
(a) 120 square units (underestimate)
(b) 248 square units
Step-by-step explanation:
<u>(a) left sum</u>
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
<u>(b) right sum</u>
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
12.9 = x + 7.1
subtract 7.1 from both sides to isolate the variable, x.
5.8 = x
5.8 is your answer.
F(x) = 5(-3x) ^2 - (-3x) + 1
f(x) = -8x ^2 + 3x + 1
f(x) = -8x ^3 + 3x
Answer:
the 2
Step-by-step explanation: