Answer: the expression 12f + 24 represents 12 times a quantity, added to 24.
Expplanation.
The <em>expression 12f + 24</em> is an algebraic <em>expression</em>, especifically a first degree binomial; this is, a polynomial of two terms, whose maximum power is 1.
The algebraic expressions are used to <em>represent</em> word statements in mathematical language.
You can analyze each term of the expression and then tell what the total expresssion represents:
- The first term <em>12f</em>, where f is a variable with degree 1 (the exponent of the variable), <em>represents</em> the multiplication of a quantity (represented by the variable f) by 12.
- 24 is the constant term, it <em>represents</em> an constand addend.
- Hence, the total <em>expression represents</em> the multiplication of a quantity by 12, and, after the multplication is done, added with 24.
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Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is
. In particular, the value we are looking for is
.
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get 
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to
.
Answer:
The simple interest is $300.
Step-by-step explanation:
<em>Find the Interest amount.</em>
I: Interest ?
P: Principle Amount $2500
R: Rate 6% = .06
T: Time Period (in years) 2 Years
<em>Convert into equation to find Simple Interest</em>
I = Prt
I = (2500)(.06)(2)
<em>Calculate</em>
I = 300
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Answer:[tex]y=-4x^2 -8x-6
Step-by-step explanation: