B........................
1.4 x 10 = 14
That's your answer.
Answer:
The answer to your question is a) (f°g)(x) = 4x² + 2
b) (f + g)(x) = 4x² + x + 2
c) (f - g)(-3) = -37
Step-by-step explanation:
Data
f(x) = x + 2
g(x) = 4x²
a) Calculate (f°g)(x)
Just sum the function
(f°g)(x) = (4x²) + 2
-Simplification
(f°g)(x) = 4x² + 2
b) (f + g)(x)
(f + g)(x) = x + 2 + 4x²
-Simplification
(f + g)(x) = 4x² + x + 2
c) (f - g)(-3)
-Calculate (f - g)(x)
(f - g)(x) = x + 2 - 4x²
-Simplify
(f - g)(x) = -4x² + x + 2
-Evaluate in (-3)
(f - g)(-3) = -(4)(-3)² + (-3) + 2
-Simplification
(f - g)(-3) = -4(9) - 3 + 2
-Result
(f - g)(-3) = -36 - 3 + 2
(f - g)(-3) = -37
Answer:
the total number of outcome in step 1 = 1+2+3= 6
the total number of outcome in step 2 = 2 +2+3 = 7
hence total number of outcome = 6 x7
= 42
Step-by-step explanation:
<h3>
Answer: C = 1.06P</h3>
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Explanation:
The sales tax is 6% of the price P
6% of P = 0.06P
Add on the original cost P to get P+0.06P = (1+0.06)P = 1.06P
The 1.06 indicates the final after tax cost is 106% of the original price.
You can think of it like 100% + 6% = 106% = 1.06
So that's how we end up with C = 1.06P
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An example using actual numbers:
Let P = $100 be the initial cost before tax
6% of P = 0.06*P = 0.06*100 = 6 dollars is the tax
100+6 = 106 is the final cost
Note how C = 1.06P = 1.06*100 = 106
