Fill in the blanks for each of the following: a) y = e* is the inverse of the function: b) Simplify: elnx c) If y = Inf (x), then y' =

Q: Solve this inequality. Plot your answer on a number line & express as a compound inequality : 2x^2 -…

A: Solution is here

Q: 1 in 100 x+6 2x 10

A: 110x+6≤ 11002x => 110x+6 ≤ 1104x => x+6≤4x ( taking log110 both sides) => 6≤ 3x  => 2 ≤x…

Q: 4- x - 2 ≥0

A:

Q: 38 > -5x + 3 ≥ 18

A: Solving the inequality.

Q: Solve the inequality: -x – 2 < -2 O (0,00) O (-,0] O (-0,0) O [0,00)

A:

Q: 5 Solve, y 4 < 0.001 (report with decimals)

A: |y-4|&lt;0.001

Q: What is x in the equation 10 + 3x > 115

A: Given, 10+3x≥115 By taking All values to other side except x we get x value.

Q: Use a number line to find the absolute vale of 5 and -5

A: absolute value = Distance of point from the zero absolute value of 5  | 5 | = distance of 5 from…

Q: 7- 7b <-42 or 4 + b < 10

A: Given : 7 - 7b ≤ -42 or 4 + b ≤ 10    To find : Solution of given expression and graph on number…

Q: Solve for x the inequality | 15 | <18 |x 9

A:

Q: -3x <-15 or x-9 <-12

A:

Q: Use direct proof to show that product of two consecutive integers is even.

A:

Q: Solve: 14 &lt; 5 - 3x ≤ 29

A: 14&lt;5-3x≤29

Q: find domain and range. 4 -4 -2 2 4

A:

Q: 14. f) = }, f(4) = 9

A:

Q: 13. Solve: |2x + 3| < 5.

A:

Q: 37<7-5x < -33

A:

Q: solve the inequality 4x^2≤3x+7

A: We need to solve 4x2≤3x+7. So,               4x2≤ 3x+7⇒4x2-7-3x≤ 0⇒x+14x-7≤ 0⇒-1≤ x≤74

Q: 5q² +30q< 125

A: Here, 5q2+30q≤ -125 Add 125 to both sides 5q2+30q+125≤ -125+125 5q2+30q+125≤ 0