Answer:
see explanation
Step-by-step explanation:
To evaluate f(- x) substitute x = - x into f(x)
f(- x) = (- x)² + 2(- x) + 3 = x² - 2x + 3
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- f(x) = - (x² + 2x + 3) ← distribute parenthesis by - 1
= - x² - 2x - 3
-----------------------------------------------------------
- f(- x) ← substitute f(- x) from above
= - (x² - 2x + 3) ← distribute parenthesis by - 1
= - x² + 2x - 3
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Answer:
prime factors are factors of a number that are prime numbers, (meaning they can only be divided by 1 and itself), while odd numbers are numbers that are odd..
all odd numbers have prime factors but not all prime factors are odd numbers
Answer: B. 30
<u>Step-by-step explanation:</u>
When given a secant and a tangent, the formula is:
exterior of secant × secant = tangent²
KM × JK = LK²
10 × (JM + 10) = 20²
10JM + 100 = 400
10JM = 300
JM = 30
Step-by-step explanation:
the average rate of change of a function f in an interval [x-low, x-high] is
(f(x-high) - f(x-low)) / (x-high - x-low)
the year 2000 means t = 2000-1980 = 20
the year 2015 means t = 2015-1980 = 35
so, we have
(A(35) - A(20)) / (35 - 20)
((-0.6(35)² + 37.2×35 + 243) - (-0.6(20)² + 37.2×20 + 243)) / 15
((-735 + 1302 + 243) - (-240 + 744 + 243)) / 15
(810 - 747) / 15 = 63/15 = 4.2
the average change rate between 2000 and 2015 is 4.2.
that means that the use of nuclear energy in the USA increased by 4.2 billions of kilowatt hours per year during that period.