Does the rule y=-3x^5 represent an exponential function?
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y=-3*(x^5) is not an exponential equation but a polynomial equation.
Final answer:
The equation y=-3x^5 is not an exponential function. It is actually a polynomial function, specifically a quintic function. In an exponential function, the variable is in the exponent, which is not the case in this function.
Explanation:
The function you proposed, y=-3x^5, does not represent an exponential function. The primary characteristic of an exponential function is that the variable, in this case 'x', is in the exponent e.g. y = b^x where b is a positive constant.
In your equation, the variable 'x' is the base of the power, not the exponent. Thus, y=-3x^5 is a polynomial function, specifically it's a quintic function because the largest exponent is 5.
The output of an exponential function grows or decays proportionally, whereas for a quintic function, the growth rate will not necessarily be proportional.
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(Sorry for the spam, making sure these are right) One zero of the polynomial function f(x)=x^3-9x^2+20x is x=0. What are the polynomial function? Choices:
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Answer: Speed of local bus is 50 mph and speed of express bus is 75 mph
Step-by-step explanation:
let say speed of local bus = x
so speed of express bus = x + 25
Distance = Speed × Time
Distance traveled by local bus = x × 10.2 = 10.2x
Distance traveled by express bus = (x + 25) × 6.8
since Distance traveled by local bus is same as Distance traveled by express bus
⇒10.2x = (x + 25) × 6.8
⇒ 10.2x = 6.8x + 170
⇒ 10.2x - 6.8x = 170
⇒ x = 170/3.4 = 50
So Speed of local bus = x = 50 mph
and Speed of express bus = x + 25 = 50 + 25 = 75 mph
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v=(3/4)/9 (mi/min)= (3/4)/(9/60) (mi/h)= 3/4*60/9 (mi/h)=5 (mi/h)
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Final answer:
8000 in Roman nos can be written as 'VIII' with a line above the numerals, to indicate multiplication by 1000.
Explanation:
To write 8000 in Roman nos, you should understand that the Roman numeral system uses symbols to represent numbers. For example, the symbol 'I' stands for 1, 'V' stands for 5, 'X' stands for 10, and so forth. However, the Roman numeral system has no standard numeral for 8000. The Romans commonly only used numerals up to 1000 (M). For higher numbers, they sometimes used a line over a number to indicate multiplication by 1000. Thus, 8000 can be represented as 'VIII' with a line over it.
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2)
length=2*(43,010658459+20,2422282+41,976183723)=210,458140764
p(x)=x-4
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p(x) = x - 4
So the zero would be the value that, when put in the place of x, makes it equal to zero. Since all that's being done on the equation is subtracting four, then all we need to do to make the equation equal to zero is to add that 4 back, since
4 - 4 = 0
And our equation would look like this:
p(x) = (4) - 4
The zero of the polynomial p(x) = x - 4 is where x = 4.
Hope that helped! =)
x-4=0
x= 4
the zero of polynomial at x=4