For this case we have the following functions:
f (x) = 36 + 4x
g (x) = x2 + 15
By matching both functions we have:
f (x) = g (x)
36 + 4x = x2 + 15
Rewriting we have:
x2 + 15 - 4x - 36 = 0
x2 - 4x - 21 = 0
Solving the polynomial we have:
(x-7) (x + 3) = 0
x = -3
x = 7
Taking the positive root we have:
x = 7
Answer:
They will have the same amount of money saved after:
x = 7 weeks
Answer:
find y intercept: x= 0 => y = 12
y = -x + 12 (1)
y = x + 12 (2) is answer
Step-by-step explanation:
Answer:
the number of different three course meals that can be ordered equals 45
Step-by-step explanation:
In selecting Salads we have 5 choices.
In selecting pizza's we have 3 different choices
IN selecting dessert's we have 3 different choices
Thus the total number of choices to order the meal is
5 x 3 x 3=45.
Thus the number of different three course meals that can be ordered equals 45.
Answer:
Exponentials and logarithms are inverses of each other.
Step-by-step explanation:
Exponentials and logarithms are inverses of each other.
For logarithmic function:
Domain =
, Range = 
Vertical asymptote is y - axis.
x - intercept is (1,0)
For exponential function:
Domain =
, Range = 
Horizontal asymptote is x - axis.
y- intercept is (0,1)
Both exponential and logarithmic functions are increasing.
For example:
Solve: 


Answer:
1.5 miles or kilograms
Step-by-step explanation:
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