The surface area is 6075.96 in^3
Answer:
f(x) = 3x + 2
Step-by-step explanation:
That's easy to find out. You have your input number, which is your x value, and you have your output number which is your y value (or f(x)).
All you have to do is see if each of the proposed answer works for ALL entries in the data set.
f(x) = 3x + 2
for x = 3 ===> 11 = 3 (3) + 2 = 11 YES
for x = 5 ===> 17 = 3 (5) + 2 = 17 YES
for x = 7 ===> 23 = 3 (7) + 2 = 23 YES
for x = 9 ===> 29 = 3 (9) + 2 = 29 YES
f(x) = 2x + 5
for x = 3 ===> 11 = 2 (3) + 5 = 11 YES
for x = 5 ===> 17 = 2 (5) + 5 = 15 NO - we stop here for this function
f(x) = x + 7
for x = 3 ===> 11 = (3) + 7 = 10 NO - we stop here for this function
f(x) = 3x + 1
for x = 3 ===> 11 = 3 (3) + 1 = 10 NO - we stop here for this function
Answer:
(a) 0.4
(b) a = 3
Step-by-step explanation:
(a) The area under the curve from x=4 to x=6 is 0.2 units high and 2 units wide, so is 0.2·2 = 0.4. (The area of a rectangle is the product of length and width.)
(b) The area is 0.2 and the height of the curve is 0.2, so the width of the region of concern is 0.2/0.2 = 1. (Again, area = height·width, or width = area/height.) 1 unit from the left end is found at X=3, so a = 3.
+8y and -8y cross out.
So the first one is 3x=15
Second one is 2x=10
x=5
Then plug x is one of the equations
2(5)-8y=10
10-8y=10
x=5
y=0
SimplifyingY + -9 = 4(x + -2)
Reorder the terms:-9 + Y = 4(x + -2)
Reorder the terms:-9 + Y = 4(-2 + x)-9 + Y = (-2 * 4 + x * 4)-9 + Y = (-8 + 4x)
Solving-9 + Y = -8 + 4x
Solving for variable 'Y'.
Move all terms containing Y to the left, all other terms to the right.
Add '9' to each side of the equation.-9 + 9 + Y = -8 + 9 + 4x
Combine like terms: -9 + 9 = 00 + Y = -8 + 9 + 4xY = -8 + 9 + 4x
Combine like terms: -8 + 9 = 1Y = 1 + 4x
SimplifyingY = 1 + 4x