<h3>
Answer:</h3>
- x-intercept: 82.75
- y-intercept: -2.15
<h3>
Step-by-step explanation:</h3>
To find the x-intercept, set y=0 and solve.
... 0 = log(12x +7) -3
... 3 = log(12x +7) . . . . add 3
... 1000 = 12x +7 . . . . take the antilog. (10^3 = 1000)
... 993 = 12x . . . . . . . .subtract 7
... 82.75 = x . . . . . . . . divide by 12
To find the y-intercept, set x=0 and solve.
... y = log(12·0 +7) -3
... y = log(7) -3 . . . . . . simplify
... y ≈ 0.85 -3 = -2.15 . . . . use a calculator for the log function
Answer:
Volume of the juice can =
Step-by-step explanation:
Given:
Volume of a cylinder= 
:
Volume of the cylindrical Juice can = 
=
So, the volume of the juice can is
Answer:6
Step-by-step explanation:
Answer:
3x(x - 2)
Step-by-step explanation:
Given
3x² - 6x ← factor out the common factor 3x from each term
= 3x(x - 2)
Solution:
As given , g(x)= f(x) + k --------(1)
As also given : f(x) = 
(x+2)
g(x) = (x+5)
Putting the value of f(x) and g(x) in equation (1).
→ (x+5) = (x+2) + k
→ ![\frac{1}{3}[x+5-x-2]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Bx%2B5-x-2%5D)
= k
→ k = 
So , the value of k is 1.
