If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
Answers
For this case we have the following functions:
The first thing we must do for this case is to subtract both functions.
We have then:
Substituting we have:
Rewriting we have:
Evaluating the obtained function for x = 3 we have:
Answer:
The value of the function evaluated at x = 3 is:
g(x) = 6x
(g - f)(3) = 6(3) - (-(3)² + 4)
(g - f)(3) = 18 - (-9 + 4)
(g - f)(3) = 18 - (-5)
(g - f)(3) = 18 + 5
(g - f)(3) = 23
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What's the answer to: divide £48 in the ratio 7:5 (please show your working, much appreciated)
Answers
Final answer:
"I am an odd number. I am more than 40. I am less than 42. I am 41"
Explanation:
This problem can be solved through basic number sense. We are dealing with a specific subset of numbers - odd numbers. We are told that this number is more than 40 and less than 42. Thus, the number we're looking for here is essentially the only odd number that falls between 40 and 42, which is 41.
When you say you are an odd number that is more than 40 and less than 42, there is only one number that fits this criteria: 41. In the range between 40 and 42, the only odd number is 41.
Learn more about Odd Numbers here:
#SPJ11
2) tan -30 degrees
3) cot (-pi)
Show your work.
This is from trigonometry or Algebra 2.
Please don't answer if you don't know it.
Answers
tan -30 is the same as tan 330, which is -
cot -π = 1 / tan π, which is 1 / 0, and you can't divide by 0, so cot -π is undefined
Answers
Option C:
f(x) = 5x + 7 is the function of the input-output table.
Solution:
Option A: f(x) = 6x + 9
Input x = 1 in the above equation.
f(1) = 6(1) + 9
= 6 + 9
f(1) = 15
But the output is 12 in the table.
So, it is not the function of the table.
Option B: f(x) = 7x + 5
Input x = 1 in the above equation.
f(1) = 7(1) + 5
f(1) = 12
Input x = 5 in the above equation.
f(5) = 7(5) + 5
f(5) = 40
But the output is 32 in the table.
So, it is not the function of the table.
Option C: f(x) = 5x + 7
Input x = 1 in the above equation.
f(1) = 5(1) + 7
f(1) = 12
Input x = 5 in the above equation.
f(5) = 5(5) + 7
f(5) = 32
Input x = 10 in the above equation.
f(10) = 5(10) + 7
f(10) = 57
Input x = 5 in the above equation.
f(15) = 5(15) + 7
f(15) = 82
All outputs are correct for the given input.
Hence it is the function of the table.
Option D: f(x) = 12x + 1
Input x = 1 in the above equation.
f(1) = 12(1) + 1
f(1) = 12
Input x = 5 in the above equation.
f(5) = 12(5) + 1
f(5) = 61
But the output is 32 in the table.
So, it is not the function of the table.
Hence Option C is the correct answer.
f(x) = 5x + 7 is the function of the input-output table.
Answers
100min 250min 500min
30$ monthly fee ______ ______ ______
45 cent additional minutes ______ ______ ______
Price per minute ______ ______ ______
Answers
Answer:3
Step-by-step explanation:
Answers
12 × 5 = 60
Interest = Principle amount × Rate × Time in years
= 650 × 0.06 × 5 (6% =
= R195
R650 + R195 = R845