What is the range of the function h(x) = -8x?
Answers
Final answer:
The range of the function h(x) = -8x is all real numbers, as there are no restrictions on the output the function can produce. This is typical of a linear function.
Explanation:
The range of a function refers to the possible outputs it can produce. In the case of the function h(x) = -8x, it is a linear function, and there are no restrictions on the values that x can take, meaning x can be any real number between -∞ and +∞. The output, h(x), therefore, can be any real number, also between -∞ and +∞, given that it will be the result of -8 multiplied by x. Therefore, the range of the function h(x) = -8x is all real numbers from -∞ to +∞.
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If the population of a particular country is growing at 1.6% compounded continuously, how long will it take the population to triple? The population will triple in ______ years if it is growing at 1.6% compounded continuously. (Round up to the nearest year.)
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hope this helps ^-^
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The specified formula y = (x-1)(4x+2)A linear function, -4x² has a constant term of -2 and a linear term of 2x.
To determine whether the function y = (x-1)(4x+2)-4x^2 is linear or quadratic, we can analyze the equation and identify its terms.
Start with the equation:
y = (x-1)(4x+2)-4x²
Expand the equation by multiplying the terms:
y = 4x² + 2x - 4x - 2 - 4x²
Simplifying further,
y = 2x - 2.
Analyzing the equation, we can see that there is no x² term. This indicates that the function is linear.
Let's identify the terms of the equation:
Quadratic term: There is no x² term in the equation.
Linear term: The linear term is 2x.
Constant term: The constant term is -2.
Therefore, the given function y = (x-1)(4x+2)-4x² is a linear function with a linear term of 2x and a constant term of -2.
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Multiplying (x-1) by (4x+2) the term in x² is x*4x=4x².
If we substract 4x² the term of y in x² will be 0.
The function is not quadratic.
Since 4x*(-1)+2*x=-2x (product of terms in x) : the function is thus linear.
Constant term is -1*2=-2
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The point 6 cm away from the center travels in a circle of circumference 2π*(6 cm) = 12π cm, so that it covers this distance per revolution, 12π cm/1 rev.
So the disk has a linear speed of
(6000 rev/min) * (12π cm/rev) = 72,000π cm/min
which is equivalent to
(72,000π cm/min) * (1/100,000 km/cm) * (60 min/h)
or approximately 135.7 km/h.
b)30t people per year^2
c)600t people per year
d)36t people per year^2
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The acceleration in the population t years from 1996 is 60t people per year^2.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
It is given that a population grows from an initial size of 10 people to an amount P(t), given by P(t)=10(3+0.5t+t³) where t is measured in years from 1996.
Now, in order to find the acceleration in the population t years from 1996, we need to find the second derivative of the populationfunction, therefore,
Hence, the acceleration in the population t years from 1996 is 60t people per year^2.
Learn more about Function:
The first derivative has to be determined first.
dP(t)/dt = 10(0.5+3t^2)
Next, the second derivative can be determined using the first derivative:
d2P(t) = 10(6t) = 60t
Since it's acceleration, the unit is per year^2
THE ANSWER IS a) 60t people per year^2
B -54 + 2b = -46
С 7b - 8 = -20
D b/8 - 6 = -8
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Answer:
A
Step-by-step explanation:
-4/4 = -1
-1+5.5
=4.5
the answer is x=27
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Simple...plug n chug..
3x-4(4)=65
3x-16=65
Now, isolate the variable, x....
3x-16=65
+16 +16
3x=81
Now, divide,
x=27.
Thus, your answer.