Consider the functions f(x) = x2 − 13 and g(x) = x + 5. What is the value of (f − g)(−4)? ...?
Answers
f(x) = x2 - 13
g(x) = x + 5
and are asked to compute "f-g" when x=-4. there are two ways of doing this. you can either first find f(-4) and g(-4) and then substract one from other like so:
f(−4)=(−4)2−13=16−13=3
g(−4)=−4+5=1
f(−4)−g(−4)=3−1=2
or you can create a new function that represents "f-g", call it "h", and work out h(-4) as follows:
h(x)=f(x)−g(x)=(x2−13)−(x+5)=x2−13−x−5=x2−x−18
h(−4)=(−4)2−(−4)−18=16+4−18=2
Answer- The Answer is -12
Step-by-step explanation:
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30 pints please help
Answers
The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation thus option (B) is correct.
What is a linear function?
A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given points,
Let's take two-point (1,1) and (2,1.5)
The slope associated with the above points will be as,
(1.5 - 1)/(2 - 1) = 0.5
Thus, the line will be y = 0.5x + 0.3
Hence "The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation".
For more about the linear function,
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8a+a-3=6a-2a-3
Answers
9a - 3 = 4a -3
-3 on both sides is gone so 9a = 4a
9a - 4a =0 => 5a = 0 so a=0
Answers
Answer:
x = 11 or x = -4
Step-by-step explanation:
x² - 7x - 34 = 10
Subtract 10 from both sides.
x² - 7x - 44 = 10
Factor the trinominal. We need 2 numbers whose product is -44 and whose sum is -7. They are -11 and 4.
(x - 11)(x + 4) = 0
x - 11 = 0 or x + 4 = 9
x = 11 or x = -4
Answers
B.radius
C.circumference
D.shape
Answers
A area and B radius are the answers
x – 2
x + 10
x + 6
Answers
Answer A
x²+4x+3=(x+3)(x+1)
x^3+6x²+11x+6=(x+1)(x²+5x+6)
x²+5x+6=(x+2)(x+3)
so
x^3+6x²+11x+6=(x+1)(x+2)(x+3) (Horner's method)
(x^3 + 6x^2 + 11x + 6) / (x^2 + 4x + 3) = ((x + 1) * (x + 2) * (x + 3)) / ((x + 1) * (x + 3)) = x + 2
The correct result would be x + 2.