6a² + 3 = 435
First subtract 3 from both sides:
6a^2 = 432
Divide both sides by 6:
a^2 = 432/6
a^2 = 72
Now take the square root of both sides to get a:
a = √72
Solve each
5x+7>-8
minus 7 both sides
5x>-15
divide by 5
x>-3
3x+7≤19
minus 7 both sides
3x≤12
divide by 3
x≤4
so we got
x>-3 AND x≤4
and means that the solution set must satisfy both at once
so x is bigger than -3 and less than or equal to 4
so between -3 and 4 including 4
-3<x≤4
last one
Abc - ab - c + 1
=ab(c - 1) - (c - 1)
= (c - 1) (ab - 1)
Answer: last option
Step-by-step explanation:
You know that the weight of his pumpkin 4.9 pounds and that, if he guesses its weight within 0.3 pounds, he will get the pumpkin for free.
Then, to find the minimum weight he can guess in order to get his pumpkin for free, it's necessary to write the expression:

Rewriting it:

To find the maximum weight he can guess in order to get his pumpkin for free, it's necessary to write the expression:

Rewriting it:

Step-by-step explanation:
Given 
To get g(x), we will have to integrate g'(x)

If g(1) = 0, this means at x = 1, g(x) = 0
0 = -1⁻¹ + C
C= 1
Substitute C = 1 into the function
g(x) = -x⁻¹ + 1
If g(2) = 0, this means at x = 2, g(x) = 0
0 = -2⁻¹ + C
C= 2⁻¹
C = 1/2
Substitute C = 2 into the function
g(x) = -x⁻¹ + 1/2