Answer:
Option B is correct
Step-by-step explanation:
A function has form of f(x) = 2x + 3, or y = 2x + 3
To find the inverse of f(x), we are going to represent x in form of y.
To do this, we try to send all components containing x to one side of expression and send the other components to the other side of expression.
Now, let's do it.
y = 2x + 3
We firstly send 3 to the right, change the sign of 3 from + to -, we have:
y - 3 = 2x
We then rearrange both sides to get a standard form:
2x = y - 3
We now divide both sides by 2 to get the expression of x:
(2/2)x = (y - 3)/2
We simplify both sides of expression to obtain final result:
x = (1/2)y - 3/2
=> Inverse of f(x) is x = (1/2)y - 3/2
=> Option B is correct
C = circumference of circle
p = perimeter of square
c + p = 29
p = 29 - c
side of square = (29 - c)/4
radius of circle = c/(2pi)
a = side^2 + (pi)r^2
a = ((29 - c)/4)^2 + pi * (c/(2pi))^2
a = (1/16)(841 - 58c + c^2) + (c^2/(4pi^2)) * pi
a = 52.5625 - 3.625c + c^2/16 + c^2/(4pi)
Since the 2nd degree term has a positive coefficient is positive, this has a graph that is a parabola opening up. It has a minimum value.
We take the derivative of the area expression and set equal to zero to find the minimum circumference.
da/dc = -3.625 + c/8 + (c/(2pi)) = 0
c = 12.76
Answer: 12.76 cm
Answer:
y = 3x + 2
Step-by-step explanation:
The shaded region is somewhat going up, and the graph is positive. That leaves 2 answer choices. If you measure the slope by counting the blocks from one point to another by counting up/down from one point to the height to another point, and then go right or left to the other point. the slope is 3, therefore y = 3x +2 is the answer, as it is the only one that the shaded region is above the line and that has a slope of 3. Hope this helps!
Answer:
Only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.
Option A is correct.
Step-by-step explanation:
We will solve to find out Which expression has a positive quotient.
We know the division rule: 
and 
We will use these rules
1) Negative three-fourths divided by Negative two-thirds
The quotient is positive.
2) Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth
The quotient is negative.
3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth
The quotient is negative.
4) Negative 6 divided by Five-thirds
The quotient is negative.
So, only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.
Option A is correct.
Answer:
Step-by-step explanation:
Five rational number from 68 to 72
69, 70 , 71, 71.1 , 71.2
