Answer:
f(g(4)) = 213
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 8x + 5
g(x) = 7x - 2
<u>Step 2: Find f(g(4))</u>
- Substitute in <em>x</em> [Function g(x)]: g(4) = 7(4) - 2
- Multiply: g(4) = 28 - 2
- Subtract: g(4) = 26
- Substitute in function value [Function f(x)]: f(g(4)) = 8(26) + 5
- Multiply: f(g(4)) = 208 + 5
- Add: f(g(4)) = 213
,,,,,??,??,,,,,,,,,,,,,,,,
Andre45 [30]
Answer:
the one real zero is in the interval (-1, 0)
Step-by-step explanation:
Descartes' rule of signs tells you there are 0 or 2 positive real zeros. Changing the signs of the odd-degree terms and applying that rule again tells you there is one negative real zero. At the same time, those coefficients (-3, -5, -5, +7) have a negative sum, so you know ...
f(-1) = -6
f(0) = +7
so there is a zero in the interval (-1, 0).
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You can try a few values between x=0 and x=10 to see what the function does in that part of the graph. You find ...
f(1) = 10
f(2) = 21
f(3) = 58
So, it is safe to conclude that there are no real zeros for x > 0.
The only real zero of f(x) is in the interval (-1, 0).
_____
I like to use a graphing calculator for problems like this.
Answer:
A. 9 sqrt 2
Explanation:
Plug in hypotenuse and given side into
a^2 + b^2 = c^2 and solve.
Answer:
$4,499.46
Step-by-step explanation:
We can use the compound interest formula for this problem:

P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, lets change 4% into a decimal:
4% ->
-> 0.04
Now lets plug the values into the equation as shown below:


Don will have $4,499.46 at the end of the three years.
Answer:
The last one is the answer